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Chakraborty AK, Wang H, Ramazi P. From Policy to Prediction: Assessing Forecasting Accuracy in an Integrated Framework with Machine Learning and Disease Models. J Comput Biol 2024. [PMID: 39092497 DOI: 10.1089/cmb.2023.0377] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 08/04/2024] Open
Abstract
To improve the forecasting accuracy of the spread of infectious diseases, a hybrid model was recently introduced where the commonly assumed constant disease transmission rate was actively estimated from enforced mitigating policy data by a machine learning (ML) model and then fed to an extended susceptible-infected-recovered model to forecast the number of infected cases. Testing only one ML model, that is, gradient boosting model (GBM), the work left open whether other ML models would perform better. Here, we compared GBMs, linear regressions, k-nearest neighbors, and Bayesian networks (BNs) in forecasting the number of COVID-19-infected cases in the United States and Canadian provinces based on policy indices of future 35 days. There was no significant difference in the mean absolute percentage errors of these ML models over the combined dataset [H ( 3 ) = 3.10 , p = 0.38 ]. In two provinces, a significant difference was observed [H ( 3 ) = 8.77 , H ( 3 ) = 8.07 , p < 0.05 ], yet posthoc tests revealed no significant difference in pairwise comparisons. Nevertheless, BNs significantly outperformed the other models in most of the training datasets. The results put forward that the ML models have equal forecasting power overall, and BNs are best for data-fitting applications.
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Affiliation(s)
- Amit K Chakraborty
- Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada
| | - Hao Wang
- Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada
| | - Pouria Ramazi
- Department of Mathematics and Statistics, Brock University, St. Catharines, Canada
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2
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Heidecke J, Fuhrmann J, Barbarossa MV. A mathematical model to assess the effectiveness of test-trace-isolate-and-quarantine under limited capacities. PLoS One 2024; 19:e0299880. [PMID: 38470895 DOI: 10.1371/journal.pone.0299880] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/23/2022] [Accepted: 02/17/2024] [Indexed: 03/14/2024] Open
Abstract
Diagnostic testing followed by isolation of identified cases with subsequent tracing and quarantine of close contacts-often referred to as test-trace-isolate-and-quarantine (TTIQ) strategy-is one of the cornerstone measures of infectious disease control. The COVID-19 pandemic has highlighted that an appropriate response to outbreaks of infectious diseases requires a firm understanding of the effectiveness of such containment strategies. To this end, mathematical models provide a promising tool. In this work, we present a delay differential equation model of TTIQ interventions for infectious disease control. Our model incorporates the assumption of limited TTIQ capacities, providing insights into the reduced effectiveness of testing and tracing in high prevalence scenarios. In addition, we account for potential transmission during the early phase of an infection, including presymptomatic transmission, which may be particularly adverse to a TTIQ based control. Our numerical experiments inspired by the early spread of COVID-19 in Germany demonstrate the effectiveness of TTIQ in a scenario where immunity within the population is low and pharmaceutical interventions are absent, which is representative of a typical situation during the (re-)emergence of infectious diseases for which therapeutic drugs or vaccines are not yet available. Stability and sensitivity analyses reveal both disease-dependent and disease-independent factors that impede or enhance the success of TTIQ. Studying the diminishing impact of TTIQ along simulations of an epidemic wave, we highlight consequences for intervention strategies.
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Affiliation(s)
- Julian Heidecke
- Frankfurt Institute for Advanced Studies, Frankfurt, Germany
- Interdisciplinary Center for Scientific Computing, Heidelberg University, Heidelberg, Germany
- Heidelberg Institute of Global Health, Heidelberg University, Heidelberg, Germany
| | - Jan Fuhrmann
- Institute of Applied Mathematics, Heidelberg University, Heidelberg, Germany
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3
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Juneau CE, Briand AS, Collazzo P, Siebert U, Pueyo T. Effective contact tracing for COVID-19: A systematic review. GLOBAL EPIDEMIOLOGY 2023; 5:100103. [PMID: 36959868 PMCID: PMC9997056 DOI: 10.1016/j.gloepi.2023.100103] [Citation(s) in RCA: 12] [Impact Index Per Article: 12.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/01/2022] [Revised: 02/19/2023] [Accepted: 03/06/2023] [Indexed: 03/11/2023] Open
Abstract
Contact tracing is commonly recommended to control outbreaks of COVID-19, but its effectiveness is unclear. Following PRISMA guidelines, we searched four databases using a range of terms related to contact tracing effectiveness for COVID-19. We found 343 papers; 32 were included. All were observational or modelling studies. Observational studies (n = 14) provided consistent, very-low certainty evidence that contact tracing (alone or in combination with other interventions) was associated with better control of COVID-19 (e.g. in Hong Kong, only 1084 cases and four deaths were recorded in the first 4.5 months of the pandemic). Modelling studies (n = 18) provided consistent, high-certainty evidence that under assumptions of prompt and thorough tracing with effective quarantines, contact tracing could stop the spread of COVID-19 (e.g. by reducing the reproduction number from 2.2 to 0.57). A cautious interpretation indicates that to stop the spread of COVID-19, public health practitioners have 2-3 days from the time a new case develops symptoms to isolate the case and quarantine at least 80% of its contacts.
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Affiliation(s)
- Carl-Etienne Juneau
- Direction régionale de santé publique, CIUSSS du Centre-Sud-de-l'Île-de-Montréal, Montréal, Québec, Canada
| | - Anne-Sara Briand
- École de santé publique, Université de Montréal, Montréal, Québec, Canada
| | - Pablo Collazzo
- Danube University Krems, Dr. Karl Dorrek-Strasse 30, 3500 Krems, Austria and IEEM Universidad de Montevideo, Lord Ponsonby 2542, 16000 Montevideo, Uruguay
| | - Uwe Siebert
- Institute for Technology Assessment, Department of Radiology, Massachusetts General Hospital, Harvard Medical School, Boston, MA, USA
- Department of Public Health, Health Services Research and Health Technology Assessment, UMIT - University for Health Sciences, Medical Informatics and Technology, Austria
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4
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Romanescu RG, Hu S, Nanton D, Torabi M, Tremblay-Savard O, Haque MA. The effective reproductive number: Modeling and prediction with application to the multi-wave Covid-19 pandemic. Epidemics 2023; 44:100708. [PMID: 37499586 DOI: 10.1016/j.epidem.2023.100708] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/23/2022] [Revised: 07/04/2023] [Accepted: 07/13/2023] [Indexed: 07/29/2023] Open
Abstract
Classical compartmental models of infectious disease assume that spread occurs through a homogeneous population. This produces poor fits to real data, because individuals vary in their number of epidemiologically-relevant contacts, and hence in their ability to transmit disease. In particular, network theory suggests that super-spreading events tend to happen more often at the beginning of an epidemic, which is inconsistent with the homogeneity assumption. In this paper we argue that a flexible decay shape for the effective reproductive number (Rt) indexed by the susceptible fraction (St) is a theory-informed modeling choice, which better captures the progression of disease incidence over human populations. This, in turn, produces better retrospective fits, as well as more accurate prospective predictions of observed epidemic curves. We extend this framework to fit multi-wave epidemics, and to accommodate public health restrictions on mobility. We demonstrate the performance of this model by doing a prediction study over two years of the SARS-CoV2 pandemic.
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Affiliation(s)
- Razvan G Romanescu
- Department of Community Health Sciences, University of Manitoba, Canada; Center for Healthcare Innovation, University of Manitoba, Canada.
| | - Songdi Hu
- Department of Computer Science, University of Manitoba, Canada
| | - Douglas Nanton
- Center for Healthcare Innovation, University of Manitoba, Canada
| | - Mahmoud Torabi
- Department of Community Health Sciences, University of Manitoba, Canada
| | | | - Md Ashiqul Haque
- Department of Community Health Sciences, University of Manitoba, Canada
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5
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Han L, He M, He X, Pan Q. Synergistic effects of vaccination and virus testing on the transmission of an infectious disease. MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2023; 20:16114-16130. [PMID: 37920005 DOI: 10.3934/mbe.2023719] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/04/2023]
Abstract
Under the background that asymptomatic virus carriers have infectivity for an infectious disease, we establish a difference equations model with vaccination and virus testing in this paper. Assuming that the vaccine is 100% effective for susceptible people but cannot stop the infectivity of asymptomatic virus carriers, we study how to combine vaccination and virus testing at the beginning of an epidemic to effectively block the spread of infectious disease in different population sizes. By considering the daily processing capacity of the vaccine and daily proportion of testing, the corresponding numerical simulation results are obtained. It is shown that when vaccine availability and virus testing capacity are insufficient, a reasonable combination of the above two measures can slow down or even block the spread of infectious disease. Single virus testing or vaccination can also block the spread of infectious disease, but this requires a lot of manpower, material and financial resources. When the daily proportion of virus testing is fixed, the ratio of the minimum daily processing capacity of vaccines used to block the spread of infectious disease to the corresponding population size is rather stable. It demonstrates that effective protective measures of the same infectious disease in countries and regions with different population sizes can be used as a reference. These results also provide a certain reference for decision makers on how to coordinate vaccines and virus testing resources to curb the spread of such an infectious disease in a certain population size.
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Affiliation(s)
- Lili Han
- School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
| | - Mingfeng He
- School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
- School of Innovation and Entrepreneurship, Dalian University of Technology, Dalian 116024, China
| | - Xiao He
- Department of Mathematics, Dalian Minzu University, Dalian 116600, China
| | - Qiuhui Pan
- School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
- School of Innovation and Entrepreneurship, Dalian University of Technology, Dalian 116024, China
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6
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Majeed B, David JF, Bragazzi NL, McCarthy Z, Grunnill MD, Heffernan J, Wu J, Woldegerima WA. Mitigating co-circulation of seasonal influenza and COVID-19 pandemic in the presence of vaccination: A mathematical modeling approach. Front Public Health 2023; 10:1086849. [PMID: 36684896 PMCID: PMC9845909 DOI: 10.3389/fpubh.2022.1086849] [Citation(s) in RCA: 5] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/01/2022] [Accepted: 11/28/2022] [Indexed: 01/05/2023] Open
Abstract
The co-circulation of two respiratory infections with similar symptoms in a population can significantly overburden a healthcare system by slowing the testing and treatment. The persistent emergence of contagious variants of SARS-CoV-2, along with imperfect vaccines and their waning protections, have increased the likelihood of new COVID-19 outbreaks taking place during a typical flu season. Here, we developed a mathematical model for the co-circulation dynamics of COVID-19 and influenza, under different scenarios of influenza vaccine coverage, COVID-19 vaccine booster coverage and efficacy, and testing capacity. We investigated the required minimal and optimal coverage of COVID-19 booster (third) and fourth doses, in conjunction with the influenza vaccine, to avoid the coincidence of infection peaks for both diseases in a single season. We show that the testing delay brought on by the high number of influenza cases impacts the dynamics of influenza and COVID-19 transmission. The earlier the peak of the flu season and the greater the number of infections with flu-like symptoms, the greater the risk of flu transmission, which slows down COVID-19 testing, resulting in the delay of complete isolation of patients with COVID-19 who have not been isolated before the clinical presentation of symptoms and have been continuing their normal daily activities. Furthermore, our simulations stress the importance of vaccine uptake for preventing infection, severe illness, and hospitalization at the individual level and for disease outbreak control at the population level to avoid putting strain on already weak and overwhelmed healthcare systems. As such, ensuring optimal vaccine coverage for COVID-19 and influenza to reduce the burden of these infections is paramount. We showed that by keeping the influenza vaccine coverage about 35% and increasing the coverage of booster or fourth dose of COVID-19 not only reduces the infections with COVID-19 but also can delay its peak time. If the influenza vaccine coverage is increased to 55%, unexpectedly, it increases the peak size of influenza infections slightly, while it reduces the peak size of COVID-19 as well as significantly delays the peaks of both of these diseases. Mask-wearing coupled with a moderate increase in the vaccine uptake may mitigate COVID-19 and prevent an influenza outbreak.
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Affiliation(s)
- Bushra Majeed
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
| | - Jummy Funke David
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
| | - Nicola Luigi Bragazzi
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
| | - Zack McCarthy
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
| | - Martin David Grunnill
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
| | - Jane Heffernan
- Centre for Disease Modeling, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
- Modelling Infection and Immunity Lab, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
| | - Jianhong Wu
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
| | - Woldegebriel Assefa Woldegerima
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
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Yu Y, Tan Y, Tang S. Stability analysis of the COVID-19 model with age structure under media effect. COMPUTATIONAL AND APPLIED MATHEMATICS 2023; 42:204. [PMCID: PMC10239554 DOI: 10.1007/s40314-023-02330-w] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/14/2022] [Revised: 05/02/2023] [Accepted: 05/03/2023] [Indexed: 09/01/2023]
Abstract
The spread and control of infectious diseases are inevitably influenced by the age structure of the population and media effect. In this paper, we propose a susceptible-exposure-infection-recovery type age-structured COVID-19 model with media effect. First, the existence and uniqueness of the solution are obtained using semigroup theory and the positive operator method. The basic regeneration number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R_{0}$$\end{document} R 0 is computed next and the globally asymptotical stability of the disease-free steady state, as well as the locally asymptotical stability of endemic steady state is studied without any extra conditions. The influence of media effect and age structure of the population on disease transmission are also verified by numerical simulations. Our result show that additional intensity of media broadcasts not only reduces the peak of disease outbreak but also shortens the duration of the epidemic. Further more, the proportion of infected adolescents is lower, and adults should pay more attention to self-protection.
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Affiliation(s)
- Yue Yu
- College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074 Chongqing China
| | - Yuanshun Tan
- College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074 Chongqing China
| | - Sanyi Tang
- School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, 710119 China
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8
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Tang B, Zhou W, Wang X, Wu H, Xiao Y. Controlling Multiple COVID-19 Epidemic Waves: An Insight from a Multi-scale Model Linking the Behaviour Change Dynamics to the Disease Transmission Dynamics. Bull Math Biol 2022; 84:106. [PMID: 36008498 PMCID: PMC9409627 DOI: 10.1007/s11538-022-01061-z] [Citation(s) in RCA: 11] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/30/2021] [Accepted: 07/26/2022] [Indexed: 11/02/2022]
Abstract
COVID-19 epidemics exhibited multiple waves regionally and globally since 2020. It is important to understand the insight and underlying mechanisms of the multiple waves of COVID-19 epidemics in order to design more efficient non-pharmaceutical interventions (NPIs) and vaccination strategies to prevent future waves. We propose a multi-scale model by linking the behaviour change dynamics to the disease transmission dynamics to investigate the effect of behaviour dynamics on COVID-19 epidemics using game theory. The proposed multi-scale models are calibrated and key parameters related to disease transmission dynamics and behavioural dynamics with/without vaccination are estimated based on COVID-19 epidemic data (daily reported cases and cumulative deaths) and vaccination data. Our modeling results demonstrate that the feedback loop between behaviour changes and COVID-19 transmission dynamics plays an essential role in inducing multiple epidemic waves. We find that the long period of high-prevalence or persistent deterioration of COVID-19 epidemics could drive almost all of the population to change their behaviours and maintain the altered behaviours. However, the effect of behaviour changes fades out gradually along the progress of epidemics. This suggests that it is essential to have not only persistent, but also effective behaviour changes in order to avoid subsequent epidemic waves. In addition, our model also suggests the importance to maintain the effective altered behaviours during the initial stage of vaccination, and to counteract relaxation of NPIs, it requires quick and massive vaccination to avoid future epidemic waves.
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Affiliation(s)
- Biao Tang
- School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, China
- The Interdisciplinary Research Center for Mathematics and Life Sciences, Xi'an Jiaotong University, Xi'an, 710049, China
| | - Weike Zhou
- School of Mathematics and Statistics, Shaanxi Normal University, Xi'an, 710119, China
| | - Xia Wang
- School of Mathematics and Statistics, Shaanxi Normal University, Xi'an, 710119, China
| | - Hulin Wu
- Department of Biostatistics and Data Science, The University of Texas Health Science Center at Houston, Houston, 77030, USA
| | - Yanni Xiao
- School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, China.
- The Interdisciplinary Research Center for Mathematics and Life Sciences, Xi'an Jiaotong University, Xi'an, 710049, China.
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9
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Tang B, Zhang X, Li Q, Bragazzi NL, Golemi-Kotra D, Wu J. The minimal COVID-19 vaccination coverage and efficacy to compensate for a potential increase of transmission contacts, and increased transmission probability of the emerging strains. BMC Public Health 2022; 22:1258. [PMID: 35761216 PMCID: PMC9235129 DOI: 10.1186/s12889-022-13429-w] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/04/2021] [Accepted: 05/13/2022] [Indexed: 11/17/2022] Open
Abstract
Background Mass immunization is a potentially effective approach to finally control the local outbreak and global spread of the COVID-19 pandemic. However, it can also lead to undesirable outcomes if mass vaccination results in increased transmission of effective contacts and relaxation of other public health interventions due to the perceived immunity from the vaccine. Methods We designed a mathematical model of COVID-19 transmission dynamics that takes into consideration the epidemiological status, public health intervention status (quarantined/isolated), immunity status of the population, and strain variations. Comparing the control reproduction numbers and the final epidemic sizes (attack rate) in the cases with and without vaccination, we quantified some key factors determining when vaccination in the population is beneficial for preventing and controlling future outbreaks. Results Our analyses predicted that there is a critical (minimal) vaccine efficacy rate (or a critical quarantine rate) below which the control reproduction number with vaccination is higher than that without vaccination, and the final attack rate in the population is also higher with the vaccination. We also predicted the worst case scenario occurs when a high vaccine coverage rate is achieved for a vaccine with a lower efficacy rate and when the vaccines increase the transmission efficient contacts. Conclusions The analyses show that an immunization program with a vaccine efficacy rate below the predicted critical values will not be as effective as simply investing in the contact tracing/quarantine/isolation implementation. We reached similar conclusions by considering the final epidemic size (or attack rates). This research then highlights the importance of monitoring the impact on transmissibility and vaccine efficacy of emerging strains.
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10
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Oshinubi K, Fougère C, Demongeot J. A Model for the Lifespan Loss Due to a Viral Disease: Example of the COVID-19 Outbreak. Infect Dis Rep 2022; 14:321-340. [PMID: 35645217 PMCID: PMC9150002 DOI: 10.3390/idr14030038] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 03/29/2022] [Revised: 04/12/2022] [Accepted: 04/23/2022] [Indexed: 11/29/2022] Open
Abstract
The end of the acute phase of the COVID-19 pandemic is near in some countries as declared by World Health Organization (WHO) in January 2022 based on some studies in Europe and South Africa despite unequal distribution of vaccines to combat the disease spread globally. The heterogeneity in individual age and the reaction to biological and environmental changes that has been observed in COVID-19 dynamics in terms of different reaction to vaccination by age group, severity of infection per age group, hospitalization and Intensive Care Unit (ICU) records show different patterns, and hence, it is important to improve mathematical models for COVID-19 pandemic prediction to account for different proportions of ages in the population, which is a major factor in epidemic history. We aim in this paper to estimate, using the Usher model, the lifespan loss due to viral infection and ageing which could result in pathological events such as infectious diseases. Exploiting epidemiology and demographic data firstly from Cameroon and then from some other countries, we described the ageing in the COVID-19 outbreak in human populations and performed a graphical representation of the proportion of sensitivity of some of the model parameters which we varied. The result shows a coherence between the orders of magnitude of the calculated and observed incidence numbers during the epidemic wave, which constitutes a semi-quantitative validation of the mathematical modelling approach at the population level. To conclude, the age heterogeneity of the populations involved in the COVID-19 outbreak needs the consideration of models in age groups with specific susceptibilities to infection.
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11
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Estimating COVID-19 cases and deaths prevented by non-pharmaceutical interventions, and the impact of individual actions: A retrospective model-based analysis. Epidemics 2022; 39:100557. [PMID: 35430552 PMCID: PMC8985422 DOI: 10.1016/j.epidem.2022.100557] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/21/2021] [Revised: 03/09/2022] [Accepted: 03/28/2022] [Indexed: 11/24/2022] Open
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12
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Guan J, Zhao Y, Wei Y, Shen S, You D, Zhang R, Lange T, Chen F. Transmission dynamics model and the coronavirus disease 2019 epidemic: applications and challenges. MEDICAL REVIEW (BERLIN, GERMANY) 2022; 2:89-109. [PMID: 35658113 PMCID: PMC9047651 DOI: 10.1515/mr-2021-0022] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 08/29/2021] [Accepted: 01/03/2022] [Indexed: 12/20/2022]
Abstract
Since late 2019, the beginning of coronavirus disease 2019 (COVID-19) pandemic, transmission dynamics models have achieved great development and were widely used in predicting and policy making. Here, we provided an introduction to the history of disease transmission, summarized transmission dynamics models into three main types: compartment extension, parameter extension and population-stratified extension models, highlight the key contribution of transmission dynamics models in COVID-19 pandemic: estimating epidemiological parameters, predicting the future trend, evaluating the effectiveness of control measures and exploring different possibilities/scenarios. Finally, we pointed out the limitations and challenges lie ahead of transmission dynamics models.
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Affiliation(s)
- Jinxing Guan
- Departments of Epidemiology and Biostatistics, School of Public Health, Nanjing Medical University, Nanjing, Jiangsu, China
| | - Yang Zhao
- Departments of Epidemiology and Biostatistics, School of Public Health, Nanjing Medical University, Nanjing, Jiangsu, China.,China International Cooperation Center for Environment and Human Health, Center for Global Health, Nanjing Medical University, Nanjing, Jiangsu, China.,Center of Biomedical BigData, Nanjing Medical University, Nanjing, Jiangsu, China
| | - Yongyue Wei
- Departments of Epidemiology and Biostatistics, School of Public Health, Nanjing Medical University, Nanjing, Jiangsu, China.,China International Cooperation Center for Environment and Human Health, Center for Global Health, Nanjing Medical University, Nanjing, Jiangsu, China
| | - Sipeng Shen
- Departments of Epidemiology and Biostatistics, School of Public Health, Nanjing Medical University, Nanjing, Jiangsu, China
| | - Dongfang You
- Departments of Epidemiology and Biostatistics, School of Public Health, Nanjing Medical University, Nanjing, Jiangsu, China
| | - Ruyang Zhang
- Departments of Epidemiology and Biostatistics, School of Public Health, Nanjing Medical University, Nanjing, Jiangsu, China
| | - Theis Lange
- Department of Public Health, University of Copenhagen, Copenhagen, Denmark
| | - Feng Chen
- Departments of Epidemiology and Biostatistics, School of Public Health, Nanjing Medical University, Nanjing, Jiangsu, China.,China International Cooperation Center for Environment and Human Health, Center for Global Health, Nanjing Medical University, Nanjing, Jiangsu, China
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13
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Yuan P, Aruffo E, Gatov E, Tan Y, Li Q, Ogden N, Collier S, Nasri B, Moyles I, Zhu H. School and community reopening during the COVID-19 pandemic: a mathematical modelling study. ROYAL SOCIETY OPEN SCIENCE 2022; 9:211883. [PMID: 35127115 PMCID: PMC8808096 DOI: 10.1098/rsos.211883] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/01/2021] [Accepted: 01/04/2022] [Indexed: 05/03/2023]
Abstract
Operating schools safely during the COVID-19 pandemic requires a balance between health risks and the need for in-person learning. Using demographic and epidemiological data between 31 July and 23 November 2020 from Toronto, Canada, we developed a compartmental transmission model with age, household and setting structure to study the impact of schools reopening in September 2020. The model simulates transmission in the home, community and schools, accounting for differences in infectiousness between adults and children, and accounting for work-from-home and virtual learning. While we found a slight increase in infections among adults (2.2%) and children (4.5%) within the first eight weeks of school reopening, transmission in schools was not the key driver of the virus resurgence in autumn 2020. Rather, it was community spread that determined the outbreak trajectory, primarily due to increases in contact rates among adults in the community after school reopening. Analyses of cross-infection among households, communities and schools revealed that home transmission is crucial for epidemic progression and safely operating schools, while the degree of in-person attendance has a larger impact than other control measures in schools. This study suggests that safe school reopening requires the strict maintenance of public health measures in the community.
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Affiliation(s)
- Pei Yuan
- Laboratory of Mathematical Parallel Systems (LAMPS), Department of Mathematics and Statistics, York University, Toronto, Canada
- Canadian Centre for Diseases Modeling (CCDM), York University, Toronto, Canada
- Department of Mathematics and Statistics, York University, Toronto, Canada
| | - Elena Aruffo
- Laboratory of Mathematical Parallel Systems (LAMPS), Department of Mathematics and Statistics, York University, Toronto, Canada
- Canadian Centre for Diseases Modeling (CCDM), York University, Toronto, Canada
- Department of Mathematics and Statistics, York University, Toronto, Canada
| | - Evgenia Gatov
- Toronto Public Health, City of Toronto, Toronto, Ontario, Canada
| | - Yi Tan
- Laboratory of Mathematical Parallel Systems (LAMPS), Department of Mathematics and Statistics, York University, Toronto, Canada
- Canadian Centre for Diseases Modeling (CCDM), York University, Toronto, Canada
- Department of Mathematics and Statistics, York University, Toronto, Canada
| | - Qi Li
- Laboratory of Mathematical Parallel Systems (LAMPS), Department of Mathematics and Statistics, York University, Toronto, Canada
- Department of Mathematics, Shanghai Normal University, Shanghai, People's Republic of China
| | - Nick Ogden
- Canadian Centre for Diseases Modeling (CCDM), York University, Toronto, Canada
- Public Health Risk Sciences Division, National Microbiology Laboratory, Public Health Agency of Canada, Quebec, Canada
| | - Sarah Collier
- Toronto Public Health, City of Toronto, Toronto, Ontario, Canada
| | - Bouchra Nasri
- Canadian Centre for Diseases Modeling (CCDM), York University, Toronto, Canada
- Department of Social and Preventive Medicine, Université de Montréal, Montréal, Quebec, Canada
| | - Iain Moyles
- Canadian Centre for Diseases Modeling (CCDM), York University, Toronto, Canada
- Department of Mathematics and Statistics, York University, Toronto, Canada
| | - Huaiping Zhu
- Laboratory of Mathematical Parallel Systems (LAMPS), Department of Mathematics and Statistics, York University, Toronto, Canada
- Canadian Centre for Diseases Modeling (CCDM), York University, Toronto, Canada
- Department of Mathematics and Statistics, York University, Toronto, Canada
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Majeed B, Tosato M, Wu J. Variant-specific interventions to slow down replacement and prevent outbreaks. Math Biosci 2022; 343:108703. [PMID: 34547362 PMCID: PMC8452136 DOI: 10.1016/j.mbs.2021.108703] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/18/2021] [Revised: 09/08/2021] [Accepted: 09/08/2021] [Indexed: 11/25/2022]
Abstract
Emergency and establishment of variants of concern (VOC) impose significant challenges for the COVID-19 pandemic control specially when a large portion of the population has not been fully vaccinated. Here we develop a mathematical model and utilize this model to examine the impact of non pharmaceutical interventions, including the COVID-test (PCR, antigen and antibody test) and whole genome sequencing (WGS) test capacity and contact tracing and quarantine strength, on the VOC-induced epidemic wave. We point out the undesirable and unexpected effect of lukewarm tracing and quarantine that can potentially increase the VOC-cases at the outbreak peak time, and we demonstrate the significance of strain-specific interventions to either prevent a VOC-induced outbreak, or to mitigate the epidemic wave when this outbreak is unavoidable.
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Affiliation(s)
- Bushra Majeed
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Canada
| | - Marco Tosato
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Canada
| | - Jianhong Wu
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Canada.
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15
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Tofighi M, Asgary A, Merchant AA, Shafiee MA, Najafabadi MM, Nadri N, Aarabi M, Heffernan J, Wu J. Modelling COVID-19 transmission in a hemodialysis centre using simulation generated contacts matrices. PLoS One 2021; 16:e0259970. [PMID: 34797862 PMCID: PMC8604317 DOI: 10.1371/journal.pone.0259970] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/05/2021] [Accepted: 11/01/2021] [Indexed: 01/12/2023] Open
Abstract
The COVID-19 pandemic has been particularly threatening to patients with end-stage kidney disease (ESKD) on intermittent hemodialysis and their care providers. Hemodialysis patients who receive life-sustaining medical therapy in healthcare settings, face unique challenges as they need to be at a dialysis unit three or more times a week, where they are confined to specific settings and tended to by dialysis nurses and staff with physical interaction and in close proximity. Despite the importance and critical situation of the dialysis units, modelling studies of the SARS-CoV-2 spread in these settings are very limited. In this paper, we have used a combination of discrete event and agent-based simulation models, to study the operations of a typical large dialysis unit and generate contact matrices to examine outbreak scenarios. We present the details of the contact matrix generation process and demonstrate how the simulation calculates a micro-scale contact matrix comprising the number and duration of contacts at a micro-scale time step. We have used the contacts matrix in an agent-based model to predict disease transmission under different scenarios. The results show that micro-simulation can be used to estimate contact matrices, which can be used effectively for disease modelling in dialysis and similar settings.
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Affiliation(s)
- Mohammadali Tofighi
- ADERSIM (Advanced Disaster, Emergency, and Rapid Response Simulation), York University, Toronto, Ontario, Canada
| | - Ali Asgary
- ADERSIM (Advanced Disaster, Emergency, and Rapid Response Simulation), York University, Toronto, Ontario, Canada
| | | | | | - Mahdi M. Najafabadi
- ADERSIM (Advanced Disaster, Emergency, and Rapid Response Simulation), York University, Toronto, Ontario, Canada
| | - Nazanin Nadri
- ADERSIM (Advanced Disaster, Emergency, and Rapid Response Simulation), York University, Toronto, Ontario, Canada
| | - Mehdi Aarabi
- University Health Network (UHN), Toronto, Ontario, Canada
| | - Jane Heffernan
- Modelling Infection and Immunity Lab, York University, Toronto, Ontario, Canada
| | - Jianhong Wu
- LIAM (Laboratory for Industrial and Applied Mathematics), York University, Toronto, Ontario, Canada
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16
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Thomas Craig KJ, Rizvi R, Willis VC, Kassler WJ, Jackson GP. Effectiveness of Contact Tracing for Viral Disease Mitigation and Suppression: Evidence-Based Review. JMIR Public Health Surveill 2021; 7:e32468. [PMID: 34612841 PMCID: PMC8496751 DOI: 10.2196/32468] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/28/2021] [Revised: 09/02/2021] [Accepted: 09/07/2021] [Indexed: 12/24/2022] Open
Abstract
BACKGROUND Contact tracing in association with quarantine and isolation is an important public health tool to control outbreaks of infectious diseases. This strategy has been widely implemented during the current COVID-19 pandemic. The effectiveness of this nonpharmaceutical intervention is largely dependent on social interactions within the population and its combination with other interventions. Given the high transmissibility of SARS-CoV-2, short serial intervals, and asymptomatic transmission patterns, the effectiveness of contact tracing for this novel viral agent is largely unknown. OBJECTIVE This study aims to identify and synthesize evidence regarding the effectiveness of contact tracing on infectious viral disease outcomes based on prior scientific literature. METHODS An evidence-based review was conducted to identify studies from the PubMed database, including preprint medRxiv server content, related to the effectiveness of contact tracing in viral outbreaks. The search dates were from database inception to July 24, 2020. Outcomes of interest included measures of incidence, transmission, hospitalization, and mortality. RESULTS Out of 159 unique records retrieved, 45 (28.3%) records were reviewed at the full-text level, and 24 (15.1%) records met all inclusion criteria. The studies included utilized mathematical modeling (n=14), observational (n=8), and systematic review (n=2) approaches. Only 2 studies considered digital contact tracing. Contact tracing was mostly evaluated in combination with other nonpharmaceutical interventions and/or pharmaceutical interventions. Although some degree of effectiveness in decreasing viral disease incidence, transmission, and resulting hospitalizations and mortality was observed, these results were highly dependent on epidemic severity (R0 value), number of contacts traced (including presymptomatic and asymptomatic cases), timeliness, duration, and compliance with combined interventions (eg, isolation, quarantine, and treatment). Contact tracing effectiveness was particularly limited by logistical challenges associated with increased outbreak size and speed of infection spread. CONCLUSIONS Timely deployment of contact tracing strategically layered with other nonpharmaceutical interventions could be an effective public health tool for mitigating and suppressing infectious outbreaks by decreasing viral disease incidence, transmission, and resulting hospitalizations and mortality.
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Affiliation(s)
- Kelly Jean Thomas Craig
- Center for AI, Research, and Evaluation, IBM Watson Health, IBM Corporation, Cambridge, MA, United States
| | - Rubina Rizvi
- Center for AI, Research, and Evaluation, IBM Watson Health, IBM Corporation, Cambridge, MA, United States
| | - Van C Willis
- Center for AI, Research, and Evaluation, IBM Watson Health, IBM Corporation, Cambridge, MA, United States
| | - William J Kassler
- Center for AI, Research, and Evaluation, IBM Watson Health, IBM Corporation, Cambridge, MA, United States
- Palantir Technologies, Denver, CO, United States
| | - Gretchen Purcell Jackson
- Center for AI, Research, and Evaluation, IBM Watson Health, IBM Corporation, Cambridge, MA, United States
- Vanderbilt University Medical Center, Nashville, TN, United States
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17
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Xiao Y, Chen S, Zhu Y, McCarthy Z, Bragazzi NL, Asgary A, Wu J. Optimal Reopening Pathways With COVID-19 Vaccine Rollout and Emerging Variants of Concern. Front Public Health 2021; 9:729141. [PMID: 34557471 PMCID: PMC8452896 DOI: 10.3389/fpubh.2021.729141] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/22/2021] [Accepted: 08/04/2021] [Indexed: 12/03/2022] Open
Abstract
We developed a stochastic optimization technology based on a COVID-19 transmission dynamics model to determine optimal pathways from lockdown toward reopening with different scales and speeds of mass vaccine rollout in order to maximize social economical activities while not overwhelming the health system capacity in general, hospitalization beds, and intensive care units in particular. We used the Province of Ontario, Canada as a case study to demonstrate the methodology and the optimal decision trees; but our method and algorithm are generic and can be adapted to other settings. Our model framework and optimization strategies take into account the likely range of social contacts during different phases of a gradual reopening process and consider the uncertainties of these contact rates due to variations of individual behaviors and compliance. The results show that, without a mass vaccination rollout, there would be multiple optimal pathways should this strategy be adopted right after the Province's lockdown and stay-at-home order; however, once reopening has started earlier than the timing determined in the optimal pathway, an optimal pathway with similar constraints no longer exists, and sub-optimal pathways with increased demand for intensive care units can be found, but the choice is limited and the pathway is narrow. We also simulated the situation when the reopening starts after the mass vaccination has been rolled out, and we concluded that optimal pathways toward near pre-pandemic activity level is feasible given an accelerated vaccination rollout plan, with the final activity level being determined by the vaccine coverage and the transmissibility of the dominating strain.
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Affiliation(s)
- Yanyu Xiao
- Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, United States
| | - Shengyuan Chen
- Department of Mathematics and Statistics, York University, Toronto, ON, Canada
| | - Yi Zhu
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
| | - Zachary McCarthy
- Department of Mathematics and Statistics, York University, Toronto, ON, Canada
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
| | - Nicola Luigi Bragazzi
- Department of Mathematics and Statistics, York University, Toronto, ON, Canada
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
| | - Ali Asgary
- Disaster and Emergency Management, School of Administrative Studies and Advanced Disaster and Emergency Rapid-Response Simulation, York University, Toronto, ON, Canada
| | - Jianhong Wu
- Department of Mathematics and Statistics, York University, Toronto, ON, Canada
- Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, ON, Canada
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18
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Otto SP, Day T, Arino J, Colijn C, Dushoff J, Li M, Mechai S, Van Domselaar G, Wu J, Earn DJD, Ogden NH. The origins and potential future of SARS-CoV-2 variants of concern in the evolving COVID-19 pandemic. Curr Biol 2021; 31:R918-R929. [PMID: 34314723 PMCID: PMC8220957 DOI: 10.1016/j.cub.2021.06.049] [Citation(s) in RCA: 196] [Impact Index Per Article: 65.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
One year into the global COVID-19 pandemic, the focus of attention has shifted to the emergence and spread of SARS-CoV-2 variants of concern (VOCs). After nearly a year of the pandemic with little evolutionary change affecting human health, several variants have now been shown to have substantial detrimental effects on transmission and severity of the virus. Public health officials, medical practitioners, scientists, and the broader community have since been scrambling to understand what these variants mean for diagnosis, treatment, and the control of the pandemic through nonpharmaceutical interventions and vaccines. Here we explore the evolutionary processes that are involved in the emergence of new variants, what we can expect in terms of the future emergence of VOCs, and what we can do to minimise their impact.
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Affiliation(s)
- Sarah P Otto
- Department of Zoology and Biodiversity Research Centre, University of British Columbia, Vancouver, BC V6T 1Z4, Canada.
| | - Troy Day
- Department of Mathematics and Statistics, Department of Biology, Queen's University, Kingston, ON K7L 3N6, Canada
| | - Julien Arino
- Department of Mathematics and Data Science Nexus, University of Manitoba, Winnipeg, MB R3T 2N2, Canada
| | - Caroline Colijn
- Department of Mathematics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada
| | - Jonathan Dushoff
- Department of Biology and M.G. DeGroote Institute for Infectious Disease Research, McMaster University, Hamilton, ON L8S 4L8, Canada
| | - Michael Li
- Public Health Risk Sciences Division, National Microbiology Laboratory, Public Health Agency of Canada, Guelph, ON N1G 3W4, Canada
| | - Samir Mechai
- Public Health Risk Sciences Division, National Microbiology Laboratory, Public Health Agency of Canada, St. Hyacinthe, QC J2S 2M2, Canada
| | - Gary Van Domselaar
- National Microbiology Laboratory - Public Health Agency of Canada, Winnipeg, MB R3E 3R2, Canada; Department of Medical Microbiology and Infectious Diseases, University of Manitoba, Winnipeg, MB R3E 0J9, Canada
| | - Jianhong Wu
- Laboratory for Industrial and Applied Mathematics, York University, Toronto, ON M3J 1P3, Canada
| | - David J D Earn
- Department of Mathematics and Statistics and M.G. DeGroote Institute for Infectious Disease Research, McMaster University, Hamilton, ON L8S 4K1, Canada
| | - Nicholas H Ogden
- Public Health Risk Sciences Division, National Microbiology Laboratory, Public Health Agency of Canada, St. Hyacinthe, QC J2S 2M2, Canada
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19
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A window of opportunity for intensifying testing and tracing efforts to prevent new COVID-19 outbreaks due to more transmissible variants. CANADA COMMUNICABLE DISEASE REPORT = RELEVÉ DES MALADIES TRANSMISSIBLES AU CANADA 2021; 47:329-338. [PMID: 34667443 DOI: 10.14745/ccdr.v47i78a06] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
Background When public health interventions are being loosened after several days of decline in the number of coronavirus disease 2019 (COVID-19) cases, it is of critical importance to identify potential strategies to ease restrictions while mitigating a new wave of more transmissible variants of concern (VOCs). We estimated the necessary enhancements to public health interventions for a partial reopening of the economy while avoiding the worst consequences of a new outbreak, associated with more transmissible VOCs. Methods We used a transmission dynamics model to quantify conditions that combined public health interventions must meet to reopen the economy without a large outbreak. These conditions are those that maintain the control reproduction number below unity, while accounting for an increase in transmissibility due to VOC. Results We identified combinations of the proportion of individuals exposed to the virus who are traced and quarantined before becoming infectious, the proportion of symptomatic individuals confirmed and isolated, and individual daily contact rates needed to ensure the control reproduction number remains below unity. Conclusion Our analysis indicates that the success of restrictive measures including lockdown and stay-at-home orders, as reflected by a reduction in number of cases, provides a narrow window of opportunity to intensify case detection and contact tracing efforts to prevent a new wave associated with circulation of more transmissible VOCs.
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20
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Nistal R, de la Sen M, Gabirondo J, Alonso-Quesada S, Garrido AJ, Garrido I. A Modelization of the Propagation of COVID-19 in Regions of Spain and Italy with Evaluation of the Transmission Rates Related to the Intervention Measures. BIOLOGY 2021; 10:121. [PMID: 33562465 PMCID: PMC7915204 DOI: 10.3390/biology10020121] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/30/2020] [Revised: 02/01/2021] [Accepted: 02/01/2021] [Indexed: 01/07/2023]
Abstract
Two discrete mathematical SIR models (Susceptible-Infectious-Recovered) are proposed for modelling the propagation of the SARS-CoV-2 (COVID-19) through Spain and Italy. One of the proposed models is delay-free while the other one considers a delay in the propagation of the infection. The objective is to estimate the transmission, also known as infectivity rate, through time taking into account the infection evolution data supplied by the official health care systems in both countries. Such a parameter is estimated through time at different regional levels and it is seen to be strongly dependent on the intervention measures such as the total (except essential activities) or partial levels of lockdown. Typically, the infectivity rate evolves towards a minimum value under total lockdown and it increases again when the confinement measures are partially or totally removed.
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Affiliation(s)
- Raul Nistal
- Department of Electricity and Electronics, University of the Basque Country UPV/EHU, 48940 Leioa, Spain; (M.d.l.S.); (J.G.); (S.A.-Q.)
| | - Manuel de la Sen
- Department of Electricity and Electronics, University of the Basque Country UPV/EHU, 48940 Leioa, Spain; (M.d.l.S.); (J.G.); (S.A.-Q.)
| | - Jon Gabirondo
- Department of Electricity and Electronics, University of the Basque Country UPV/EHU, 48940 Leioa, Spain; (M.d.l.S.); (J.G.); (S.A.-Q.)
| | - Santiago Alonso-Quesada
- Department of Electricity and Electronics, University of the Basque Country UPV/EHU, 48940 Leioa, Spain; (M.d.l.S.); (J.G.); (S.A.-Q.)
| | - Aitor J. Garrido
- Automatic Control Group (ACG), Department of Automatic Control and Systems Engineering, Institute of Research and Development of Processes (IIDP), University of the Basque Country UPV/EHU, 48013 Bilbao, Spain; (A.J.G.); (I.G.)
| | - Izaskun Garrido
- Automatic Control Group (ACG), Department of Automatic Control and Systems Engineering, Institute of Research and Development of Processes (IIDP), University of the Basque Country UPV/EHU, 48013 Bilbao, Spain; (A.J.G.); (I.G.)
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21
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Asgary A, Cojocaru MG, Najafabadi MM, Wu J. Simulating preventative testing of SARS-CoV-2 in schools: policy implications. BMC Public Health 2021; 21:125. [PMID: 33430832 PMCID: PMC7801157 DOI: 10.1186/s12889-020-10153-1] [Citation(s) in RCA: 28] [Impact Index Per Article: 9.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/02/2020] [Accepted: 12/29/2020] [Indexed: 11/19/2022] Open
Abstract
Background School testing for SARS-CoV-2 infection has become an important policy and planning issue as schools were reopened after the summer season and as the COVID-19 pandemic continues. Decisions to test or not to test and, if testing, how many tests, how often and for how long, are complex decisions that need to be taken under uncertainty and conflicting pressures from various stakeholders. Method We have developed an agent-based model and simulation tool that can be used to analyze the outcomes and effectiveness of different testing strategies and scenarios in schools with various number of classrooms and class sizes. We have applied a modified version of a standard SEIR disease transmission model that includes symptomatic and asymptomatic infectious populations, and that incorporates feasible public health measures. We also incorporated a pre-symptomatic phase for symptomatic cases. Every day, a random number of students in each class are tested. If they tested positive, they are placed in self-isolation at home when the test results are provided. Last but not least, we have included options to allow for full testing or complete self-isolation of a classroom with a positive case. Results We present sample simulation results for parameter values based on schools and disease related information, in the Province of Ontario, Canada. The findings show that testing can be an effective method in controlling the SARS-CoV-2 infection in schools if taken frequently, with expedited test results and self-isolation of infected students at home. Conclusions Our findings show that while testing cannot eliminate the risk and has its own challenges, it can significantly control outbreaks when combined with other measures, such as masks and other protective measures.
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Affiliation(s)
- Ali Asgary
- Disaster & Emergency Management, School of Administrative Studies and Advanced Disaster, Emergency and Rapid-response Simulation, York University, Toronto, Canada.
| | | | - Mahdi M Najafabadi
- Advanced Disaster, Emergency and Rapid-response Simulation, York University, Toronto, Canada
| | - Jianhong Wu
- Canada Research Chair in Industrial and Applied Mathematics, Laboratory for Industrial and Applied Mathematics (LIAM), York University, Toronto, Ontario, Canada
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22
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McCarthy Z, Xiao Y, Scarabel F, Tang B, Bragazzi NL, Nah K, Heffernan JM, Asgary A, Murty VK, Ogden NH, Wu J. Quantifying the shift in social contact patterns in response to non-pharmaceutical interventions. JOURNAL OF MATHEMATICS IN INDUSTRY 2020; 10:28. [PMID: 33282625 PMCID: PMC7707617 DOI: 10.1186/s13362-020-00096-y] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/15/2020] [Accepted: 11/25/2020] [Indexed: 05/03/2023]
Abstract
Social contact mixing plays a critical role in influencing the transmission routes of infectious diseases. Moreover, quantifying social contact mixing patterns and their variations in a rapidly evolving pandemic intervened by changing public health measures is key for retroactive evaluation and proactive assessment of the effectiveness of different age- and setting-specific interventions. Contact mixing patterns have been used to inform COVID-19 pandemic public health decision-making; but a rigorously justified methodology to identify setting-specific contact mixing patterns and their variations in a rapidly developing pandemic, which can be informed by readily available data, is in great demand and has not yet been established. Here we fill in this critical gap by developing and utilizing a novel methodology, integrating social contact patterns derived from empirical data with a disease transmission model, that enables the usage of age-stratified incidence data to infer age-specific susceptibility, daily contact mixing patterns in workplace, household, school and community settings; and transmission acquired in these settings under different physical distancing measures. We demonstrated the utility of this methodology by performing an analysis of the COVID-19 epidemic in Ontario, Canada. We quantified the age- and setting (household, workplace, community, and school)-specific mixing patterns and their evolution during the escalation of public health interventions in Ontario, Canada. We estimated a reduction in the average individual contact rate from 12.27 to 6.58 contacts per day, with an increase in household contacts, following the implementation of control measures. We also estimated increasing trends by age in both the susceptibility to infection by SARS-CoV-2 and the proportion of symptomatic individuals diagnosed. Inferring the age- and setting-specific social contact mixing and key age-stratified epidemiological parameters, in the presence of evolving control measures, is critical to inform decision- and policy-making for the current COVID-19 pandemic.
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Affiliation(s)
- Zachary McCarthy
- Fields-CQAM Laboratory of Mathematics for Public Health (MfPH), York University, Toronto, Ontario Canada
- Laboratory for Industrial and Applied Mathematics, York University, Toronto, Ontario Canada
| | - Yanyu Xiao
- Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH USA
| | - Francesca Scarabel
- Fields-CQAM Laboratory of Mathematics for Public Health (MfPH), York University, Toronto, Ontario Canada
- Laboratory for Industrial and Applied Mathematics, York University, Toronto, Ontario Canada
- CDLab—Computational Dynamics Laboratory, Department of Mathematics, Computer Science and Physics, University of Udine, 33100 Udine, Italy
| | - Biao Tang
- Fields-CQAM Laboratory of Mathematics for Public Health (MfPH), York University, Toronto, Ontario Canada
- Laboratory for Industrial and Applied Mathematics, York University, Toronto, Ontario Canada
| | - Nicola Luigi Bragazzi
- Fields-CQAM Laboratory of Mathematics for Public Health (MfPH), York University, Toronto, Ontario Canada
- Laboratory for Industrial and Applied Mathematics, York University, Toronto, Ontario Canada
| | - Kyeongah Nah
- Fields-CQAM Laboratory of Mathematics for Public Health (MfPH), York University, Toronto, Ontario Canada
- Laboratory for Industrial and Applied Mathematics, York University, Toronto, Ontario Canada
| | - Jane M. Heffernan
- Modelling Infection and Immunity Lab, Centre for Disease Modelling, Department of Mathematics and Statistics, York University, Toronto, Ontario Canada
| | - Ali Asgary
- Disaster & Emergency Management, School of Administrative Studies & Advanced Disaster & Emergency Rapid-Response Simulation (ADERSIM), York University, Toronto, Ontario Canada
| | - V. Kumar Murty
- Department of Mathematics, University of Toronto, Toronto, Ontario Canada
- The Fields Institute for Research in Mathematical Sciences, Toronto, Ontario Canada
| | - Nicholas H. Ogden
- Public Health Risk Sciences Division, National Microbiology Laboratory, Public Health Agency of Canada, St-Hyacinthe, Quebec Canada
| | - Jianhong Wu
- Fields-CQAM Laboratory of Mathematics for Public Health (MfPH), York University, Toronto, Ontario Canada
- Laboratory for Industrial and Applied Mathematics, York University, Toronto, Ontario Canada
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23
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Ng V, Fazil A, Waddell LA, Bancej C, Turgeon P, Otten A, Atchessi N, Ogden NH. Effets projetés des mesures de santé publique non pharmacologiques visant à prévenir la recrudescence de la transmission du SRAS-CoV-2 au Canada. CMAJ 2020; 192:E1673-E1685. [PMID: 33257338 PMCID: PMC7721389 DOI: 10.1503/cmaj.200990-f] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 07/21/2020] [Indexed: 11/01/2022] Open
Abstract
CONTEXTE: Il faudra prendre des mesures continues contre la transmission communautaire du coronavirus du syndrome respiratoire aigu sévère 2 (SRAS-CoV-2) pour prévenir d’autres vagues d’infection. Nous avons exploré les effets des interventions non pharmacologiques sur la transmission projetée du SRAS-CoV-2 au Canada. MÉTHODES: Nous avons créé un modèle de la population canadienne à base d’agents intégrant l’âge qui simule les effets des mesures de santé publique, selon leur intensité actuelle et projetée, sur la transmission du SRAS-CoV-2. Les mesures étudiées sont le dépistage et l’isolement des cas, la recherche de contacts et la mise en quarantaine, l’éloignement sanitaire et la fermeture des espaces partagés. Nous avons évalué l’effet des mesures prises individuellement et celui des mesures combinées. RÉSULTATS: En l’absence de mesures, 64,6 % (intervalle de crédibilité [ICr] à 95 % : 63,9 %–65,0 %) des Canadiens contracteraient le SRAS-CoV-2 (taux d’attaque global), et 3,6 % (ICr à 95 % 2,4 %–3,8 %) des personnes infectées en mourraient. En poursuivant le dépistage et la recherche de contacts à la même intensité que pendant la période de référence, sans maintenir l’éloignement sanitaire ou refermer certains endroits, le pays connaîtrait un taux d’attaque global de 56,1 % (ICr à 95 % 0,05 %–57,1 %); si ces mesures étaient accrues, le taux d’attaque chuterait à 0,4 % (ICr à 95 % 0,03 %–23,5 %). En combinant ce dernier scénario et le maintien de l’éloignement sanitaire, le taux tomberait à 0,2 % (ICr à 95 % 0,03 %–1,7 %). Ce scénario est le seul qui garderait la demande en soins hospitaliers et intensifs sous la capacité, qui préviendrait presque tous les décès et qui mettrait fin à l’épidémie. La prolongation de la fermeture des écoles aurait un effet minime, mais réduirait la transmission en milieu scolaire. Par contre, la prolongation de la fermeture des lieux de travail et des lieux publics réduirait de manière marquée le taux d’attaque et mettait habituellement ou toujours fin à l’épidémie, selon les différents scénarios simulés. INTERPRÉTATION: Le contrôle de la transmission du SRAS-CoV-2 passera par l’amélioration et le maintien des mesures, tant communautaires qu’individuelles. Autrement, il y aura une recrudescence de l’épidémie, et un risque de surcharger le système de santé.
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Affiliation(s)
- Victoria Ng
- Division des sciences des risques pour la santé publique (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), Laboratoire national de microbiologie, Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Guelph (Ontario) et Saint-Hyacinthe (Québec); Centre de l'immunisation et des maladies respiratoires infectieuses (Bancej), Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Ottawa (Ontario); Bureau des programmes et de la planification en biosécurité (Atchessi), Centre de la biosûreté, Direction générale de l'infrastructure de sûreté sanitaire, Agence de la santé publique du Canada, Ottawa (Ontario)
| | - Aamir Fazil
- Division des sciences des risques pour la santé publique (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), Laboratoire national de microbiologie, Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Guelph (Ontario) et Saint-Hyacinthe (Québec); Centre de l'immunisation et des maladies respiratoires infectieuses (Bancej), Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Ottawa (Ontario); Bureau des programmes et de la planification en biosécurité (Atchessi), Centre de la biosûreté, Direction générale de l'infrastructure de sûreté sanitaire, Agence de la santé publique du Canada, Ottawa (Ontario)
| | - Lisa A Waddell
- Division des sciences des risques pour la santé publique (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), Laboratoire national de microbiologie, Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Guelph (Ontario) et Saint-Hyacinthe (Québec); Centre de l'immunisation et des maladies respiratoires infectieuses (Bancej), Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Ottawa (Ontario); Bureau des programmes et de la planification en biosécurité (Atchessi), Centre de la biosûreté, Direction générale de l'infrastructure de sûreté sanitaire, Agence de la santé publique du Canada, Ottawa (Ontario)
| | - Christina Bancej
- Division des sciences des risques pour la santé publique (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), Laboratoire national de microbiologie, Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Guelph (Ontario) et Saint-Hyacinthe (Québec); Centre de l'immunisation et des maladies respiratoires infectieuses (Bancej), Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Ottawa (Ontario); Bureau des programmes et de la planification en biosécurité (Atchessi), Centre de la biosûreté, Direction générale de l'infrastructure de sûreté sanitaire, Agence de la santé publique du Canada, Ottawa (Ontario)
| | - Patricia Turgeon
- Division des sciences des risques pour la santé publique (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), Laboratoire national de microbiologie, Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Guelph (Ontario) et Saint-Hyacinthe (Québec); Centre de l'immunisation et des maladies respiratoires infectieuses (Bancej), Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Ottawa (Ontario); Bureau des programmes et de la planification en biosécurité (Atchessi), Centre de la biosûreté, Direction générale de l'infrastructure de sûreté sanitaire, Agence de la santé publique du Canada, Ottawa (Ontario)
| | - Ainsley Otten
- Division des sciences des risques pour la santé publique (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), Laboratoire national de microbiologie, Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Guelph (Ontario) et Saint-Hyacinthe (Québec); Centre de l'immunisation et des maladies respiratoires infectieuses (Bancej), Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Ottawa (Ontario); Bureau des programmes et de la planification en biosécurité (Atchessi), Centre de la biosûreté, Direction générale de l'infrastructure de sûreté sanitaire, Agence de la santé publique du Canada, Ottawa (Ontario)
| | - Nicole Atchessi
- Division des sciences des risques pour la santé publique (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), Laboratoire national de microbiologie, Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Guelph (Ontario) et Saint-Hyacinthe (Québec); Centre de l'immunisation et des maladies respiratoires infectieuses (Bancej), Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Ottawa (Ontario); Bureau des programmes et de la planification en biosécurité (Atchessi), Centre de la biosûreté, Direction générale de l'infrastructure de sûreté sanitaire, Agence de la santé publique du Canada, Ottawa (Ontario)
| | - Nicholas H Ogden
- Division des sciences des risques pour la santé publique (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), Laboratoire national de microbiologie, Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Guelph (Ontario) et Saint-Hyacinthe (Québec); Centre de l'immunisation et des maladies respiratoires infectieuses (Bancej), Direction générale de la prévention et du contrôle des maladies infectieuses, Agence de la santé publique du Canada, Ottawa (Ontario); Bureau des programmes et de la planification en biosécurité (Atchessi), Centre de la biosûreté, Direction générale de l'infrastructure de sûreté sanitaire, Agence de la santé publique du Canada, Ottawa (Ontario)
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24
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Ludwig A, Berthiaume P, Orpana H, Nadeau C, Diasparra M, Barnes J, Hennessy D, Otten A, Ogden N. Assessing the impact of varying levels of case detection and contact tracing on COVID-19 transmission in Canada during lifting of restrictive closures using a dynamic compartmental model. CANADA COMMUNICABLE DISEASE REPORT = RELEVE DES MALADIES TRANSMISSIBLES AU CANADA 2020; 46:409-421. [PMID: 33447163 PMCID: PMC7799879 DOI: 10.14745/ccdr.v46i1112a08] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Abstract
BACKGROUND The coronavirus disease 2019 (COVID-19) pandemic began with a detected cluster of pneumonia cases in Wuhan, China in December 2019. Endemic transmission was recognized in Canada in early February 2020, making it urgent for public health stakeholders to have access to robust and reliable tools to support decision-making for epidemic management. The objectives of this paper are to present one of these tools-an aged-stratified dynamic compartmental model developed by the Public Health Agency of Canada in collaboration with Statistics Canada-and to model the impact of non-pharmaceutical interventions on the attack rate of COVID-19 infection in Canada. METHODS This model simulates the impact of different levels of non-pharmaceutical interventions, including case detection/isolation, contact tracing/quarantine and changes in the level of physical distancing in Canada, as restrictive closures began to be lifted in May 2020. RESULTS This model allows us to highlight the importance of a relatively high level of detection and isolation of cases, as well as tracing and quarantine of individuals in contact with those cases, in order to avoid a resurgence of the epidemic in Canada as restrictive closures are lifted. Some level of physical distancing by the public will also likely need to be maintained. CONCLUSION This study underlines the importance of a cautious approach to lifting restrictive closures in this second phase of the epidemic. This approach includes efforts by public health to identify cases and trace contacts, and to encourage Canadians to get tested if they are at risk of having been infected and to maintain physical distancing in public areas.
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Affiliation(s)
- Antoinette Ludwig
- Public Health Risk Sciences Division, Public Health Agency of Canada, St-Hyacinthe, QC
| | - Philippe Berthiaume
- Public Health Risk Sciences Division, Public Health Agency of Canada, St-Hyacinthe, QC
| | - Heather Orpana
- Centre for Surveillance and Applied Research, Public Health Agency of Canada, Ottawa, ON
- School of Epidemiology and Public Health, University of Ottawa, Ottawa, ON
| | - Claude Nadeau
- Health Analysis Division, Statistics Canada, Ottawa, ON
| | | | - Joel Barnes
- Health Analysis Division, Statistics Canada, Ottawa, ON
| | - Deirdre Hennessy
- Health Analysis Division, Statistics Canada, Ottawa, ON
- Department of Community Health Sciences, University of Calgary, Calgary, AB
| | - Ainsley Otten
- Health Analysis Division, Statistics Canada, Ottawa, ON
- Public Health Risk Sciences Division, Public Health Agency of Canada, Guelph, ON
| | - Nicholas Ogden
- Public Health Risk Sciences Division, Public Health Agency of Canada, St-Hyacinthe, QC
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25
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Tan-Torres Edejer T, Hanssen O, Mirelman A, Verboom P, Lolong G, Watson OJ, Boulanger LL, Soucat A. Projected health-care resource needs for an effective response to COVID-19 in 73 low-income and middle-income countries: a modelling study. Lancet Glob Health 2020; 8:e1372-e1379. [PMID: 32918872 PMCID: PMC7480983 DOI: 10.1016/s2214-109x(20)30383-1] [Citation(s) in RCA: 39] [Impact Index Per Article: 9.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/03/2020] [Revised: 07/31/2020] [Accepted: 08/10/2020] [Indexed: 11/14/2022]
Abstract
BACKGROUND Since WHO declared the COVID-19 pandemic a Public Health Emergency of International Concern, more than 20 million cases have been reported, as of Aug 24, 2020. This study aimed to identify what the additional health-care costs of a strategic preparedness and response plan (SPRP) would be if current transmission levels are maintained in a status quo scenario, or under scenarios where transmission is increased or decreased by 50%. METHODS The number of COVID-19 cases was projected for 73 low-income and middle-income countries for each of the three scenarios for both 4-week and 12-week timeframes, starting from June 26, 2020. An input-based approach was used to estimate the additional health-care costs associated with human resources, commodities, and capital inputs that would be accrued in implementing the SPRP. FINDINGS The total cost estimate for the COVID-19 response in the status quo scenario was US$52·45 billion over 4 weeks, at $8·60 per capita. For the decreased or increased transmission scenarios, the totals were $33·08 billion and $61·92 billion, respectively. Costs would triple under the status quo and increased transmission scenarios at 12 weeks. The costs of the decreased transmission scenario over 12 weeks was equivalent to the cost of the status quo scenario at 4 weeks. By percentage of the overall cost, case management (54%), maintaining essential services (21%), rapid response and case investigation (14%), and infection prevention and control (9%) were the main cost drivers. INTERPRETATION The sizeable costs of a COVID-19 response in the health sector will escalate, particularly if transmission increases. Instituting early and comprehensive measures to limit the further spread of the virus will conserve resources and sustain the response. FUNDING WHO, and UK Foreign Commonwealth and Development Office.
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Affiliation(s)
- Tessa Tan-Torres Edejer
- Health Systems Governance and Financing, Universal Health Coverage and Life Course, WHO, Geneva, Switzerland; Swiss Tropical and Public Health Institute, Basel, Switzerland; University of Basel, Basel Switzerland.
| | | | - Andrew Mirelman
- Health Systems Governance and Financing, Universal Health Coverage and Life Course, WHO, Geneva, Switzerland
| | | | - Glenn Lolong
- Health Emergencies Preparedness and Response, WHO, Geneva, Switzerland
| | - Oliver John Watson
- MRC Centre for Global Infectious Disease Analysis, Department of Infectious Disease Epidemiology, Imperial College London, London, UK
| | | | - Agnès Soucat
- Health Systems Governance and Financing, Universal Health Coverage and Life Course, WHO, Geneva, Switzerland
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26
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Chen SLS, Yen AMF, Lai CC, Hsu CY, Chan CC, Chen THH. An Index for Lifting Social Distancing During the COVID-19 Pandemic: Algorithm Recommendation for Lifting Social Distancing. J Med Internet Res 2020; 22:e22469. [PMID: 32886622 PMCID: PMC7505695 DOI: 10.2196/22469] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/13/2020] [Revised: 08/25/2020] [Accepted: 09/04/2020] [Indexed: 01/23/2023] Open
Abstract
BACKGROUND Implementing and lifting social distancing (LSD) is an urgent global issue during the COVID-19 pandemic, particularly when the travel ban is lifted to revive international businesses and economies. However, when and whether LSD can be considered is subject to the spread of SARS-CoV-2, the recovery rate, and the case-fatality rate. It is imperative to provide real-time assessment of three factors to guide LSD. OBJECTIVE A simple LSD index was developed for health decision makers to do real-time assessment of COVID-19 at the global, country, region, and community level. METHODS Data on the retrospective cohort of 186 countries with three factors were retrieved from a publicly available repository from January to early July. A simple index for guiding LSD was measured by the cumulative number of COVID-19 cases and recoveries, and the case-fatality rate was envisaged. If the LSD index was less than 1, LSD can be considered. The dynamic changes of the COVID-19 pandemic were evaluated to assess whether and when health decision makers allowed for LSD and when to reimplement social distancing after resurgences of the epidemic. RESULTS After large-scale outbreaks in a few countries before mid-March (prepandemic phase), the global weekly LSD index peaked at 4.27 in March and lasted until mid-June (pandemic phase), during which most countries were affected and needed to take various social distancing measures. Since, the value of LSD has gradually declined to 0.99 on July 5 (postpandemic phase), at which 64.7% (120/186) of countries and regions had an LSD<1 with the decile between 0 and 1 to refine risk stratification by countries. The LSD index decreased to 1 in about 115 days. In addition, we present the results of dynamic changes of the LSD index for the world and for each country and region with different time windows from January to July 5. The results of the LSD index on the resurgence of the COVID-19 epidemic in certain regions and validation by other emerging infectious diseases are presented. CONCLUSIONS This simple LSD index provides a quantitative assessment of whether and when to ease or implement social distancing to provide advice for health decision makers and travelers.
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Affiliation(s)
| | | | - Chao-Chih Lai
- Institute of Epidemiology and Preventive Medicine, College of Public Health, National Taiwan University, Taipei, Taiwan
| | - Chen-Yang Hsu
- Institute of Epidemiology and Preventive Medicine, College of Public Health, National Taiwan University, Taipei, Taiwan
| | - Chang-Chuan Chan
- Institute of Environmental and Occupational Health Science, College of Public Health, National Taiwan University, Taipei, Taiwan
| | - Tony Hsiu-Hsi Chen
- Institute of Epidemiology and Preventive Medicine, College of Public Health, National Taiwan University, Taipei, Taiwan
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27
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Ng V, Fazil A, Waddell LA, Bancej C, Turgeon P, Otten A, Atchessi N, Ogden NH. Projected effects of nonpharmaceutical public health interventions to prevent resurgence of SARS-CoV-2 transmission in Canada. CMAJ 2020; 192:E1053-E1064. [PMID: 32778573 PMCID: PMC7513947 DOI: 10.1503/cmaj.200990] [Citation(s) in RCA: 24] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 07/21/2020] [Indexed: 12/19/2022] Open
Abstract
BACKGROUND Continual efforts to eliminate community transmission of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) will be needed to prevent additional waves of infection. We explored the impact of nonpharmaceutical interventions on projected SARS-CoV-2 transmission in Canada. METHODS We developed an age-structured agent-based model of the Canadian population simulating the impact of current and projected levels of public health interventions on SARS-CoV-2 transmission. Interventions included case detection and isolation, contact tracing and quarantine, physical distancing and community closures, evaluated alone and in combination. RESULTS Without any interventions, 64.6% (95% credible interval [CrI] 63.9%-65.0%) of Canadians will be infected with SARS-CoV-2 (total attack rate) and 3.6% (95% CrI 2.4%-3.8%) of those infected and symptomatic will die. If case detection and contact tracing continued at baseline levels without maintained physical distancing and reimplementation of restrictive measures, this combination brought the total attack rate to 56.1% (95% CrI 0.05%-57.1%), but it dropped to 0.4% (95% CrI 0.03%-23.5%) with enhanced case detection and contact tracing. Combining the latter scenario with maintained physical distancing reduced the total attack rate to 0.2% (95% CrI 0.03%-1.7%) and was the only scenario that consistently kept hospital and intensive care unit bed use under capacity, prevented nearly all deaths and eliminated the epidemic. Extending school closures had minimal effects but did reduce transmission in schools; however, extending closures of workplaces and mixed-age venues markedly reduced attack rates and usually or always eliminated the epidemic under any scenario. INTERPRETATION Controlling SARS-CoV-2 transmission will depend on enhancing and maintaining interventions at both the community and individual levels. Without such interventions, a resurgent epidemic will occur, with the risk of overwhelming our health care systems.
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Affiliation(s)
- Victoria Ng
- Public Health Risk Sciences Division (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), National Microbiology Laboratory, Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Guelph, Ont., and St. Hyacinthe, Que.; Centre for Immunization and Respiratory Infectious Diseases (Bancej), Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Ottawa, Ont.; Office of Biosecurity Programs and Planning (Atchessi), Centre for Biosecurity, Health Security Infrastructure Branch, Public Health Agency of Canada, Ottawa, Ont.
| | - Aamir Fazil
- Public Health Risk Sciences Division (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), National Microbiology Laboratory, Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Guelph, Ont., and St. Hyacinthe, Que.; Centre for Immunization and Respiratory Infectious Diseases (Bancej), Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Ottawa, Ont.; Office of Biosecurity Programs and Planning (Atchessi), Centre for Biosecurity, Health Security Infrastructure Branch, Public Health Agency of Canada, Ottawa, Ont
| | - Lisa A Waddell
- Public Health Risk Sciences Division (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), National Microbiology Laboratory, Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Guelph, Ont., and St. Hyacinthe, Que.; Centre for Immunization and Respiratory Infectious Diseases (Bancej), Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Ottawa, Ont.; Office of Biosecurity Programs and Planning (Atchessi), Centre for Biosecurity, Health Security Infrastructure Branch, Public Health Agency of Canada, Ottawa, Ont
| | - Christina Bancej
- Public Health Risk Sciences Division (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), National Microbiology Laboratory, Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Guelph, Ont., and St. Hyacinthe, Que.; Centre for Immunization and Respiratory Infectious Diseases (Bancej), Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Ottawa, Ont.; Office of Biosecurity Programs and Planning (Atchessi), Centre for Biosecurity, Health Security Infrastructure Branch, Public Health Agency of Canada, Ottawa, Ont
| | - Patricia Turgeon
- Public Health Risk Sciences Division (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), National Microbiology Laboratory, Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Guelph, Ont., and St. Hyacinthe, Que.; Centre for Immunization and Respiratory Infectious Diseases (Bancej), Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Ottawa, Ont.; Office of Biosecurity Programs and Planning (Atchessi), Centre for Biosecurity, Health Security Infrastructure Branch, Public Health Agency of Canada, Ottawa, Ont
| | - Ainsley Otten
- Public Health Risk Sciences Division (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), National Microbiology Laboratory, Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Guelph, Ont., and St. Hyacinthe, Que.; Centre for Immunization and Respiratory Infectious Diseases (Bancej), Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Ottawa, Ont.; Office of Biosecurity Programs and Planning (Atchessi), Centre for Biosecurity, Health Security Infrastructure Branch, Public Health Agency of Canada, Ottawa, Ont
| | - Nicole Atchessi
- Public Health Risk Sciences Division (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), National Microbiology Laboratory, Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Guelph, Ont., and St. Hyacinthe, Que.; Centre for Immunization and Respiratory Infectious Diseases (Bancej), Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Ottawa, Ont.; Office of Biosecurity Programs and Planning (Atchessi), Centre for Biosecurity, Health Security Infrastructure Branch, Public Health Agency of Canada, Ottawa, Ont
| | - Nicholas H Ogden
- Public Health Risk Sciences Division (Ng, Fazil, Waddell, Turgeon, Otten, Ogden), National Microbiology Laboratory, Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Guelph, Ont., and St. Hyacinthe, Que.; Centre for Immunization and Respiratory Infectious Diseases (Bancej), Infectious Disease Prevention and Control Branch, Public Health Agency of Canada, Ottawa, Ont.; Office of Biosecurity Programs and Planning (Atchessi), Centre for Biosecurity, Health Security Infrastructure Branch, Public Health Agency of Canada, Ottawa, Ont
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Abstract
The coronavirus pandemic is causing confusion in the world. This confusion also affects the different guidelines adopted by each country. The persistence of Coronavirus, responsible for coronavirus disease 2019 (Covid-19) has been evaluated by different articles, but it is still not well-defined, and the method of diffusion is unclear. The aim of this manuscript is to underline new Coronavirus persistence features on different environments and surfaces. The scientific literature is still poor on this topic and research is mainly focused on therapy and diagnosis, rather than the characteristics of the virus. These data could be an aid to summarize virus features and formulate new guidelines and anti-spread strategies.
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29
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Guan J, Wei Y, Zhao Y, Chen F. Modeling the transmission dynamics of COVID-19 epidemic: a systematic review. J Biomed Res 2020; 34:422-430. [PMID: 33243940 PMCID: PMC7718076 DOI: 10.7555/jbr.34.20200119] [Citation(s) in RCA: 22] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
Abstract
The outbreak and rapid spread of COVID-19 has become a public health emergency of international concern. A number of studies have used modeling techniques and developed dynamic models to estimate the epidemiological parameters, explore and project the trends of the COVID-19, and assess the effects of intervention or control measures. We identified 63 studies and summarized the three aspects of these studies: epidemiological parameters estimation, trend prediction, and control measure evaluation. Despite the discrepancy between the predictions and the actuals, the dynamic model has made great contributions in the above three aspects. The most important role of dynamic models is exploring possibilities rather than making strong predictions about longer-term disease dynamics.
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Affiliation(s)
- Jinxing Guan
- Department of Epidemiology and Biostatistics, School of Public Health, Center for Global Health, Nanjing Medical University, Nanjing, Jiangsu 211166, China
| | - Yongyue Wei
- Department of Epidemiology and Biostatistics, School of Public Health, Center for Global Health, Nanjing Medical University, Nanjing, Jiangsu 211166, China
| | - Yang Zhao
- Department of Epidemiology and Biostatistics, School of Public Health, Center for Global Health, Nanjing Medical University, Nanjing, Jiangsu 211166, China
| | - Feng Chen
- Department of Epidemiology and Biostatistics, School of Public Health, Center for Global Health, Nanjing Medical University, Nanjing, Jiangsu 211166, China
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