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Tung STL, Perveen MM, Wohlars KN, Promisloff RA, Lee-Wong MF, Szema AM. High-income ZIP codes in New York City demonstrate higher case rates during off-peak COVID-19 waves. Front Public Health 2024; 12:1384156. [PMID: 38966700 PMCID: PMC11222585 DOI: 10.3389/fpubh.2024.1384156] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/13/2024] [Accepted: 05/31/2024] [Indexed: 07/06/2024] Open
Abstract
Introduction Our study explores how New York City (NYC) communities of various socioeconomic strata were uniquely impacted by the COVID-19 pandemic. Methods New York City ZIP codes were stratified into three bins by median income: high-income, middle-income, and low-income. Case, hospitalization, and death rates obtained from NYCHealth were compared for the period between March 2020 and April 2022. Results COVID-19 transmission rates among high-income populations during off-peak waves were higher than transmission rates among low-income populations. Hospitalization rates among low-income populations were higher during off-peak waves despite a lower transmission rate. Death rates during both off-peak and peak waves were higher for low-income ZIP codes. Discussion This study presents evidence that while high-income areas had higher transmission rates during off-peak periods, low-income areas suffered greater adverse outcomes in terms of hospitalization and death rates. The importance of this study is that it focuses on the social inequalities that were amplified by the pandemic.
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Affiliation(s)
- Steven T. L. Tung
- Noorda College of Osteopathic Medicine, Provo, UT, United States
- Department of Physiology and Biophysics, Renaissance School of Medicine at Stony Brook University, Stony Brook, NY, United States
| | | | - Kirsten N. Wohlars
- Donald and Barbara Zucker School of Medicine at Hofstra/Northwell, Hempstead, NY, United States
- Three Village Allergy & Asthma PLLC, South Setauket, NY, United States
| | | | - Mary F. Lee-Wong
- Icahn School of Medicine at Mount Sinai, New York, NY, United States
- Maimonides Medical Center, Brooklyn, NY, United States
| | - Anthony M. Szema
- Donald and Barbara Zucker School of Medicine at Hofstra/Northwell, Hempstead, NY, United States
- Division of Pulmonary and Critical Care, Department of Medicine, Donald and Barbara Zucker School of Medicine at Hofstra/Northwell, Hempstead, NY, United States
- Division of Allergy and Immunology, Department of Medicine, Donald and Barbara Zucker School of Medicine at Hofstra/Northwell, Hempstead, NY, United States
- Department of Occupational Medicine, Epidemiology, and Prevention, International Center of Excellence in Deployment Health and Medical Geosciences, Donald and Barbara Zucker School of Medicine at Hofstra/Northwell, Hempstead, NY, United States
- Department of Technology and Society, College of Engineering and Applied Sciences, Stony Brook University, Stony Brook, NY, United States
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2
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Méndez-Astudillo J. The impact of comorbidities and economic inequality on COVID-19 mortality in Mexico: a machine learning approach. Front Big Data 2024; 7:1298029. [PMID: 38562649 PMCID: PMC10982366 DOI: 10.3389/fdata.2024.1298029] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/21/2023] [Accepted: 03/04/2024] [Indexed: 04/04/2024] Open
Abstract
Introduction Studies from different parts of the world have shown that some comorbidities are associated with fatal cases of COVID-19. However, the prevalence rates of comorbidities are different around the world, therefore, their contribution to COVID-19 mortality is different. Socioeconomic factors may influence the prevalence of comorbidities; therefore, they may also influence COVID-19 mortality. Methods This study conducted feature analysis using two supervised machine learning classification algorithms, Random Forest and XGBoost, to examine the comorbidities and level of economic inequalities associated with fatal cases of COVID-19 in Mexico. The dataset used was collected by the National Epidemiology Center from February 2020 to November 2022, and includes more than 20 million observations and 40 variables describing the characteristics of the individuals who underwent COVID-19 testing or treatment. In addition, socioeconomic inequalities were measured using the normalized marginalization index calculated by the National Population Council and the deprivation index calculated by NASA. Results The analysis shows that diabetes and hypertension were the main comorbidities defining the mortality of COVID-19, furthermore, socioeconomic inequalities were also important characteristics defining the mortality. Similar features were found with Random Forest and XGBoost. Discussion It is imperative to implement programs aimed at reducing inequalities as well as preventable comorbidities to make the population more resilient to future pandemics. The results apply to regions or countries with similar levels of inequality or comorbidity prevalence.
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Wu G, Zhang W, Wu W, Wang P, Huang Z, Wu Y, Li J, Zhang W, Du Z, Hao Y. Revisiting the complex time-varying effect of non-pharmaceutical interventions on COVID-19 transmission in the United States. Front Public Health 2024; 12:1343950. [PMID: 38450145 PMCID: PMC10915018 DOI: 10.3389/fpubh.2024.1343950] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/24/2023] [Accepted: 02/08/2024] [Indexed: 03/08/2024] Open
Abstract
Introduction Although the global COVID-19 emergency ended, the real-world effects of multiple non-pharmaceutical interventions (NPIs) and the relative contribution of individual NPIs over time were poorly understood, limiting the mitigation of future potential epidemics. Methods Based on four large-scale datasets including epidemic parameters, virus variants, vaccines, and meteorological factors across 51 states in the United States from August 2020 to July 2022, we established a Bayesian hierarchical model with a spike-and-slab prior to assessing the time-varying effect of NPIs and vaccination on mitigating COVID-19 transmission and identifying important NPIs in the context of different variants pandemic. Results We found that (i) the empirical reduction in reproduction number attributable to integrated NPIs was 52.0% (95%CI: 44.4, 58.5%) by August and September 2020, whereas the reduction continuously decreased due to the relaxation of NPIs in following months; (ii) international travel restrictions, stay-at-home requirements, and restrictions on gathering size were important NPIs with the relative contribution higher than 12.5%; (iii) vaccination alone could not mitigate transmission when the fully vaccination coverage was less than 60%, but it could effectively synergize with NPIs; (iv) even with fully vaccination coverage >60%, combined use of NPIs and vaccination failed to reduce the reproduction number below 1 in many states by February 2022 because of elimination of above NPIs, following with a resurgence of COVID-19 after March 2022. Conclusion Our results suggest that NPIs and vaccination had a high synergy effect and eliminating NPIs should consider their relative effectiveness, vaccination coverage, and emerging variants.
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Affiliation(s)
- Gonghua Wu
- Department of Medical Statistics, School of Public Health & Center for Health Information Research & Sun Yat-sen Global Health Institute, Sun Yat-sen University, Guangzhou, China
| | - Wanfang Zhang
- Guangzhou Liwan District Center for Disease Prevention and Control, Guangzhou, China
| | - Wenjing Wu
- Department of Medical Statistics, School of Public Health & Center for Health Information Research & Sun Yat-sen Global Health Institute, Sun Yat-sen University, Guangzhou, China
| | - Pengyu Wang
- Department of Medical Statistics, School of Public Health & Center for Health Information Research & Sun Yat-sen Global Health Institute, Sun Yat-sen University, Guangzhou, China
| | - Zitong Huang
- Department of Medical Statistics, School of Public Health & Center for Health Information Research & Sun Yat-sen Global Health Institute, Sun Yat-sen University, Guangzhou, China
| | - Yueqian Wu
- Department of Medical Statistics, School of Public Health & Center for Health Information Research & Sun Yat-sen Global Health Institute, Sun Yat-sen University, Guangzhou, China
| | - Junxi Li
- Department of Medical Statistics, School of Public Health & Center for Health Information Research & Sun Yat-sen Global Health Institute, Sun Yat-sen University, Guangzhou, China
| | - Wangjian Zhang
- Department of Medical Statistics, School of Public Health & Center for Health Information Research & Sun Yat-sen Global Health Institute, Sun Yat-sen University, Guangzhou, China
| | - Zhicheng Du
- Department of Medical Statistics, School of Public Health & Center for Health Information Research & Sun Yat-sen Global Health Institute, Sun Yat-sen University, Guangzhou, China
- Guangzhou Joint Research Center for Disease Surveillance and Risk Assessment, Sun Yat-sen University and Guangzhou Center for Disease Control and Prevention, Guangzhou, China
| | - Yuantao Hao
- Peking University Center for Public Health and Epidemic Preparedness and Response, Beijing, China
- Key Laboratory of Epidemiology of Major Diseases, Peking University, Ministry of Education, Beijing, China
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4
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Prem Kumar R, Santra PK, Mahapatra GS. Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive. MATHEMATICS AND COMPUTERS IN SIMULATION 2023; 203:741-766. [PMID: 35911951 PMCID: PMC9308141 DOI: 10.1016/j.matcom.2022.07.012] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/03/2022] [Revised: 07/13/2022] [Accepted: 07/13/2022] [Indexed: 05/25/2023]
Abstract
The study explores the dynamics of a COVID-19 epidemic in multiple susceptible populations, including the various stages of vaccination administration. In the model, there are eight human compartments: completely susceptible; susceptible with dose-1 vaccination; susceptible with dose-2 vaccination; susceptible with booster dose vaccination; exposed; infected with and without symptoms, and recovered compartments. The biological feasibility of the model is analysed. The threshold value,R 0 , is derived using the next-generation matrix. The stability analysis of the equilibrium points was performed locally and globally using the threshold parameter of the model. The conditions determining disease persistence is obtained. The model is subjected to sensitivity analysis, and the most sensitive parameters are identified. Also, MATLAB is used to verify the mathematical outcomes of the system's dynamic behaviour and suggests that necessary steps should be taken to keep the spread of the omicron variant infectious disease under control. The findings of this study could aid health officials in their efforts to combat the spread of COVID-19.
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Affiliation(s)
- R Prem Kumar
- Department of Mathematics, National Institute of Technology Puducherry, Karaikal 609609, India
- Department of Mathematics, Avvaiyar Government College for Women, Karaikal 609602, Puducherry, India
| | - P K Santra
- Moulana Abul Kalam Azad University of Technology, Kolkata 700064, India
| | - G S Mahapatra
- Department of Mathematics, National Institute of Technology Puducherry, Karaikal 609609, India
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5
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Kurmi S, Chouhan U. A multicompartment mathematical model to study the dynamic behaviour of COVID-19 using vaccination as control parameter. NONLINEAR DYNAMICS 2022; 109:2185-2201. [PMID: 35730024 PMCID: PMC9191553 DOI: 10.1007/s11071-022-07591-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/11/2021] [Accepted: 05/31/2022] [Indexed: 06/15/2023]
Abstract
To analyse novel coronavirus disease (COVID-19) transmission in India, this article provides an extended SEIR multicompartment model using vaccination as a control parameter. The model considers eight classes of infection: susceptible ( S ), vaccinated ( V ), exposed ( E ), asymptomatic infected ( A ), symptomatic infected ( I ), isolated ( J ), hospitalised ( H ), recovered ( R ). To begin, a mathematical study is performed to demonstrate the suggested model's uniform boundedness, epidemic equilibrium, and basic reproduction number. The findings indicate that if,R 0 < 1 , the disease-free equilibrium is locally asymptotically stable; but, if,R 0 > 1 the equilibrium is unstable. Secondly, we examine the effect on those who have received vaccinations with what are deemed optimal values. The suggested model is numerically simulated using MATLAB 14.0, and the results confirm the capacity of the proposed model to provide an accurate forecast of the progress of the epidemic in India. Finally, we examine the impact of immunisation on COVID-19 dissemination.
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Affiliation(s)
- Sonu Kurmi
- Department of Mathematics, Bioinformatics and Computer Applications, Maulana Azad National Institute of Technology, Bhopal, Madhya Pradesh India
| | - Usha Chouhan
- Department of Mathematics, Bioinformatics and Computer Applications, Maulana Azad National Institute of Technology, Bhopal, Madhya Pradesh India
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Ghosh K, Ghosh AK. Study of COVID-19 epidemiological evolution in India with a multi-wave SIR model. NONLINEAR DYNAMICS 2022; 109:47-55. [PMID: 35502431 PMCID: PMC9045032 DOI: 10.1007/s11071-022-07471-x] [Citation(s) in RCA: 9] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/25/2022] [Accepted: 04/20/2022] [Indexed: 05/29/2023]
Abstract
The global pandemic due to the outbreak of COVID-19 ravages the whole world for more than two years in which all the countries are suffering a lot since December 2019. In this article characteristics of a multi-wave SIR model have been studied which successfully explains the features of this pandemic waves in India. Origin of the multi-wave pattern in the solution of this model is explained. Stability of this model has been studied by identifying the equilibrium points as well as by finding the eigenvalues of the corresponding Jacobian matrices. In this model, a finite probability of the recovered people for becoming susceptible again is introduced which is found crucial for obtaining the oscillatory solution in other words. Which on the other hand incorporates the effect of new variants, like delta, omicron, etc in addition to the SARS-CoV-2 virus. The set of differential equations has been solved numerically in order to obtain the variation of susceptible, infected and removed populations with time. In this phenomenological study, some specific sets of parameters are chosen in order to explain the nonperiodic variation of infected population which is found necessary to capture the feature of epidemiological wave prevailing in India. The numerical estimations are compared with the actual cases along with the analytic results.
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Affiliation(s)
- Kalpita Ghosh
- Department of Chemistry, Charuchandra College, 22 Lake Place Road, Kolkata, 700029 India
| | - Asim Kumar Ghosh
- Department of Physics, Jadavpur University, 188 Raja Subodh Chandra Mallik Road, Kolkata, 700032 India
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Valiati NC, Villela DA. Modelling policy combinations of vaccination and transmission suppression of SARS-CoV-2 in Rio de Janeiro, Brazil. Infect Dis Model 2022; 7:231-242. [PMID: 35005325 PMCID: PMC8719375 DOI: 10.1016/j.idm.2021.12.007] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/30/2021] [Revised: 12/23/2021] [Accepted: 12/24/2021] [Indexed: 11/29/2022] Open
Abstract
COVID-19 vaccination in Brazil required a phased program, with priorities for age groups, health workers, and vulnerable people. Social distancing and isolation interventions have been essential to mitigate the advance of the pandemic in several countries. We developed a mathematical model capable of capturing the dynamics of the SARS-CoV-2 dissemination aligned with social distancing, isolation measures, and vaccination. Surveillance data from the city of Rio de Janeiro provided a case study to analyze possible scenarios, including non-pharmaceutical interventions and vaccination in the epidemic scenario. Our results demonstrate that the combination of vaccination and policies of transmission suppression potentially lowered the number of hospitalized cases by 380+ and 66+ thousand cases, respectively, compared to an absence of such policies. On top of transmission suppression-only policies, vaccination impacted more than 230+ thousand averted hospitalized cases and 43+ thousand averted deaths. Therefore, health surveillance activities should be maintained along with vaccination planning in scheduled groups until a large vaccinated coverage is reached. Furthermore, this analytical framework enables evaluation of such scenarios.
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Affiliation(s)
| | - Daniel A.M. Villela
- Programa de Computação Científica, Fundação Oswaldo Cruz, Rio de Janeiro, RJ, Brazil
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8
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Kruszewska E, Czupryna P, Pancewicz S, Martonik D, Bukłaha A, Moniuszko-Malinowska A. Is Peracetic Acid Fumigation Effective in Public Transportation? INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH 2022; 19:ijerph19052526. [PMID: 35270221 PMCID: PMC8909421 DOI: 10.3390/ijerph19052526] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/17/2022] [Revised: 02/16/2022] [Accepted: 02/19/2022] [Indexed: 02/04/2023]
Abstract
The COVID-19 pandemic made more people aware of the danger of viruses and bacteria, which is why disinfection began to be used more and more often. Epidemiological safety must be ensured not only in gathering places, but also in home and work environments. It is especially challenging in public transportation, which is a perfect environment for the spread of infectious disease. Therefore, the aim of the study was the identification of bacteria in crowded places and the evaluation of the effect of fumigation with peracetic acid (PAA) in public transportation. Inactivation of microorganisms in buses and long-distance coaches was carried out using an automatic commercial fogging device filled with a solution of peracetic acid stabilized with acetic acid (AA) and hydrogen peroxide (H2O2). Before and after disinfection, samples were taken for microbiological tests. The most prevalent bacteria were Micrococcus luteus and Bacillus licheniformis.Staphylococcus epidermidis was only present in buses, whereas Staphylococcus hominis and Exiguobacterium acetylicum were only present in coaches. Statistical analysis showed a significant reduction in the number of microorganisms in samples taken from different surfaces after disinfection in vehicles. The overall effectiveness of disinfection was 81.7% in buses and 66.5% in coaches. Dry fog fumigation with peracetic acid is an effective method of disinfecting public transport vehicles.
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Affiliation(s)
- Ewelina Kruszewska
- Department of Infectious Diseases and Neuroinfections, Medical University of Białystok, Żurawia 14, 15-540 Białystok, Poland; (P.C.); (S.P.); (A.M.-M.)
- Correspondence:
| | - Piotr Czupryna
- Department of Infectious Diseases and Neuroinfections, Medical University of Białystok, Żurawia 14, 15-540 Białystok, Poland; (P.C.); (S.P.); (A.M.-M.)
| | - Sławomir Pancewicz
- Department of Infectious Diseases and Neuroinfections, Medical University of Białystok, Żurawia 14, 15-540 Białystok, Poland; (P.C.); (S.P.); (A.M.-M.)
| | - Diana Martonik
- Department of Infectious Diseases and Hepatology, Medical University of Białystok, Żurawia 14, 15-540 Białystok, Poland;
| | - Anna Bukłaha
- Department of Microbiological Diagnostics and Infectious Immunology, Medical University of Białystok, Waszyngtona 15A, 15-269 Białystok, Poland;
| | - Anna Moniuszko-Malinowska
- Department of Infectious Diseases and Neuroinfections, Medical University of Białystok, Żurawia 14, 15-540 Białystok, Poland; (P.C.); (S.P.); (A.M.-M.)
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Mahata A, Paul S, Mukherjee S, Das M, Roy B. Dynamics of Caputo Fractional Order SEIRV Epidemic Model with Optimal Control and Stability Analysis. INTERNATIONAL JOURNAL OF APPLIED AND COMPUTATIONAL MATHEMATICS 2022; 8:28. [PMID: 35071697 PMCID: PMC8761852 DOI: 10.1007/s40819-021-01224-x] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Accepted: 12/15/2021] [Indexed: 12/16/2022]
Abstract
In mid-March 2020, the World Health Organization declared COVID-19, a worldwide public health emergency. This paper presents a study of an SEIRV epidemic model with optimal control in the context of the Caputo fractional derivative of order \documentclass[12pt]{minimal}
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\begin{document}$$0 < \nu \le 1$$\end{document}0<ν≤1. The stability analysis of the model is performed. We also present an optimum control scheme for an SEIRV model. The real time data for India COVID-19 cases have been used to determine the parameters of the fractional order SEIRV model. The Adam-Bashforth-Moulton predictor–corrector method is implemented to solve the SEIRV model numerically. For analyzing COVID-19 transmission dynamics, the fractional order of the SEIRV model is found to be better than the integral order. Graphical demonstration and numerical simulations are presented using MATLAB (2018a) software.
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Affiliation(s)
- Animesh Mahata
- Mahadevnagar High School, Maheshtala, Kolkata, West Bengal 700141 India
| | - Subrata Paul
- Department of Mathematics, Arambagh Government Polytechnic, Arambagh, West Bengal India
| | - Supriya Mukherjee
- Department of Mathematics, Gurudas College, Kolkata, West Bengal 700054 India
| | - Meghadri Das
- Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal 711103 India
| | - Banamali Roy
- Department of Mathematics, Bangabasi Evening College, Kolkata, West Bengal 700009 India
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10
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Bhattacharyya A, Chakraborty T, Rai SN. Stochastic forecasting of COVID-19 daily new cases across countries with a novel hybrid time series model. NONLINEAR DYNAMICS 2022; 107:3025-3040. [PMID: 35039713 PMCID: PMC8754528 DOI: 10.1007/s11071-021-07099-3] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 04/25/2021] [Accepted: 11/20/2021] [Indexed: 06/14/2023]
Abstract
An unprecedented outbreak of the novel coronavirus (COVID-19) in the form of peculiar pneumonia has spread globally since its first case in Wuhan province, China, in December 2019. Soon after, the infected cases and mortality increased rapidly. The future of the pandemic's progress was uncertain, and thus, predicting it became crucial for public health researchers. These predictions help the effective allocation of health-care resources, stockpiling, and help in strategic planning for clinicians, government authorities, and public health policymakers after understanding the extent of the effect. The main objective of this paper is to develop a hybrid forecasting model that can generate real-time out-of-sample forecasts of COVID-19 outbreaks for five profoundly affected countries, namely the USA, Brazil, India, the UK, and Canada. A novel hybrid approach based on the Theta method and autoregressive neural network (ARNN) model, named Theta-ARNN (TARNN) model, is developed. Daily new cases of COVID-19 are nonlinear, non-stationary, and volatile; thus, a single specific model cannot be ideal for future prediction of the pandemic. However, the newly introduced hybrid forecasting model with an acceptable prediction error rate can help healthcare and government for effective planning and resource allocation. The proposed method outperforms traditional univariate and hybrid forecasting models for the test datasets on an average.
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Affiliation(s)
- Arinjita Bhattacharyya
- Department of Bioinformatics and Biostatistics, University of Louisville, Louisville, KY USA
| | - Tanujit Chakraborty
- Department of Science and Engineering, Sorbonne University Abu Dhabi, Abu Dhabi, UAE
| | - Shesh N. Rai
- Department of Bioinformatics and Biostatistics, University of Louisville, Louisville, KY USA
- Biostatistics and Bioinformatics Facility, JG Brown Cancer Center, University of Louisville, Louisville, KY USA
- The Christina Lee Brown Envirome Institute, University of Louisville, Louisville, KY USA
- University of Louisville Alcohol Research Center, University of Louisville, Louisville, KY USA
- University of Louisville Hepatobiology & Toxicology Center, University of Louisville, Louisville, KY USA
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11
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Ghosh M, Das S, Das P. Dynamics and control of delayed rumor propagation through social networks. JOURNAL OF APPLIED MATHEMATICS & COMPUTING 2021; 68:3011-3040. [PMID: 34744546 PMCID: PMC8559145 DOI: 10.1007/s12190-021-01643-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 01/25/2021] [Revised: 07/23/2021] [Accepted: 09/26/2021] [Indexed: 06/13/2023]
Abstract
Investigation of rumor spread dynamics and its control in social networking sites (SNS) has become important as it may cause some serious negative effects on our society. Here we aim to study the rumor spread mechanism and the influential factors using epidemic like model. We have divided the total population into three groups, namely, ignorant, spreader and aware. We have used delay differential equations to describe the dynamics of rumor spread process and studied the stability of the steady-state solutions using the threshold value of influence which is analogous to the basic reproduction number in disease model. Global stability of rumor prevailing state has been proved by using Lyapunov function. An optimal control system is set up using media awareness campaign to minimize the spreader population and the corresponding cost. Hopf bifurcation analyses with respect to time delay and the transmission rate of rumors are discussed here both analytically and numerically. Moreover, we have derived the stability region of the system corresponding to change of transmission rate and delay values.
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Affiliation(s)
- Moumita Ghosh
- Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711103 India
| | - Samhita Das
- Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711103 India
| | - Pritha Das
- Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711103 India
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12
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Hametner C, Kozek M, Böhler L, Wasserburger A, Du ZP, Kölbl R, Bergmann M, Bachleitner-Hofmann T, Jakubek S. Estimation of exogenous drivers to predict COVID-19 pandemic using a method from nonlinear control theory. NONLINEAR DYNAMICS 2021; 106:1111-1125. [PMID: 34511723 PMCID: PMC8419820 DOI: 10.1007/s11071-021-06811-7] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/12/2021] [Accepted: 08/09/2021] [Indexed: 06/01/2023]
Abstract
The currently ongoing COVID-19 pandemic confronts governments and their health systems with great challenges for disease management. Epidemiological models play a crucial role, thereby assisting policymakers to predict the future course of infections and hospitalizations. One difficulty with current models is the existence of exogenous and unmeasurable variables and their significant effect on the infection dynamics. In this paper, we show how a method from nonlinear control theory can complement common compartmental epidemiological models. As a result, one can estimate and predict these exogenous variables requiring the reported infection cases as the only data source. The method allows to investigate how the estimates of exogenous variables are influenced by non-pharmaceutical interventions and how imminent epidemic waves could already be predicted at an early stage. In this way, the concept can serve as an "epidemometer" and guide the optimal timing of interventions. Analyses of the COVID-19 epidemic in various countries demonstrate the feasibility and potential of the proposed approach. The generic character of the method allows for straightforward extension to different epidemiological models.
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Affiliation(s)
- Christoph Hametner
- Institute of Mechanics and Mechatronics, TU Wien, Getreidemarkt 9, 1060 Vienna, Austria
| | - Martin Kozek
- Institute of Mechanics and Mechatronics, TU Wien, Getreidemarkt 9, 1060 Vienna, Austria
| | - Lukas Böhler
- Institute of Mechanics and Mechatronics, TU Wien, Getreidemarkt 9, 1060 Vienna, Austria
| | | | - Zhang Peng Du
- Institute of Mechanics and Mechatronics, TU Wien, Getreidemarkt 9, 1060 Vienna, Austria
| | - Robert Kölbl
- Institute of Mechanics and Mechatronics, TU Wien, Getreidemarkt 9, 1060 Vienna, Austria
| | - Michael Bergmann
- Division of Visceral Surgery, Department of General Surgery, Medical University of Vienna, Vienna, Austria
- Comprehensive Cancer Center, Medical University of Vienna, Vienna, Austria
| | - Thomas Bachleitner-Hofmann
- Division of Visceral Surgery, Department of General Surgery, Medical University of Vienna, Vienna, Austria
- Comprehensive Cancer Center, Medical University of Vienna, Vienna, Austria
| | - Stefan Jakubek
- Institute of Mechanics and Mechatronics, TU Wien, Getreidemarkt 9, 1060 Vienna, Austria
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13
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Das P, Upadhyay RK, Misra AK, Rihan FA, Das P, Ghosh D. Mathematical model of COVID-19 with comorbidity and controlling using non-pharmaceutical interventions and vaccination. NONLINEAR DYNAMICS 2021; 106:1213-1227. [PMID: 34031622 PMCID: PMC8133070 DOI: 10.1007/s11071-021-06517-w] [Citation(s) in RCA: 28] [Impact Index Per Article: 9.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/25/2021] [Accepted: 05/04/2021] [Indexed: 05/06/2023]
Abstract
Pandemic is an unprecedented public health situation, especially for human beings with comorbidity. Vaccination and non-pharmaceutical interventions only remain extensive measures carrying a significant socioeconomic impact to defeating pandemic. Here, we formulate a mathematical model with comorbidity to study the transmission dynamics as well as an optimal control-based framework to diminish COVID-19. This encompasses modeling the dynamics of invaded population, parameter estimation of the model, study of qualitative dynamics, and optimal control problem for non-pharmaceutical interventions (NPIs) and vaccination events such that the cost of the combined measure is minimized. The investigation reveals that disease persists with the increase in exposed individuals having comorbidity in society. The extensive computational efforts show that mean fluctuations in the force of infection increase with corresponding entropy. This is a piece of evidence that the outbreak has reached a significant portion of the population. However, optimal control strategies with combined measures provide an assurance of effectively protecting our population from COVID-19 by minimizing social and economic costs.
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Affiliation(s)
- Parthasakha Das
- Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah India
| | - Ranjit Kumar Upadhyay
- Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, India
| | - Arvind Kumar Misra
- Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India
| | - Fathalla A. Rihan
- Department of Mathematical Sciences, United Arab Emirates University Al Ain, Abu Dhabi, UAE
| | - Pritha Das
- Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah India
| | - Dibakar Ghosh
- Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata, 700108 India
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Lacarbonara W, Tenreiro Machado J, Ma J, Nataraj C. Preface. NONLINEAR DYNAMICS 2021; 106:1129-1131. [PMCID: PMC8488916 DOI: 10.1007/s11071-021-06900-7] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/06/2021] [Accepted: 09/06/2021] [Indexed: 06/14/2023]
Affiliation(s)
| | | | - Jun Ma
- Lanzhou University of Technology, Lanzhou, China
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