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Deka A, Eksin C, Ndeffo-Mbah ML. Analyzing the use of non-pharmaceutical personal protective measures through self-interest and social optimum for the control of an emerging disease. Math Biosci 2024; 375:109246. [PMID: 38971368 DOI: 10.1016/j.mbs.2024.109246] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/19/2024] [Revised: 05/27/2024] [Accepted: 07/01/2024] [Indexed: 07/08/2024]
Abstract
Non-pharmaceutical personal protective (NPP) measures such as face masks use, and hand and respiratory hygiene can be effective measures for mitigating the spread of aerosol/airborne diseases, such as COVID-19, in the absence of vaccination or treatment. However, the usage of such measures is constrained by their inherent perceived cost and effectiveness for reducing transmission risk. To understand the complex interaction of disease dynamics and individuals decision whether to adopt NPP or not, we incorporate evolutionary game theory into an epidemic model such as COVID-19. To compare how self-interested NPP use differs from social optimum, we also investigated optional control from a central planner's perspective. We use Pontryagin's maximum principle to identify the population-level NPP uptake that minimizes disease incidence by incurring the minimum costs. The evolutionary behavior model shows that NPP uptake increases at lower perceived costs of NPP, higher transmission risk, shorter duration of NPP use, higher effectiveness of NPP, and shorter duration of disease-induced immunity. Though social optimum NPP usage is generally more effective in reducing disease incidence than self-interested usage, our analysis identifies conditions under which both strategies get closer. Our model provides new insights for public health in mitigating a disease outbreak through NPP.
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Affiliation(s)
- Aniruddha Deka
- Veterinary Integrative Biosciences, School of Veterinary Medicine, Texas A&M University, College Station, TX 77843, USA; Department of Population Health and Pathobiology, North Carolina State University, Raleigh, NC, USA.
| | - Ceyhun Eksin
- Industrial & Systems Engineering, College of Engineering, Texas A&M University, College Station, TX 77843, USA
| | - Martial L Ndeffo-Mbah
- Veterinary Integrative Biosciences, School of Veterinary Medicine, Texas A&M University, College Station, TX 77843, USA; Epidemiology & Biostatistics, School of Public Health, Texas A&M University, College Station, TX 77843, USA
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2
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Yang L, Fan M, Wang Y, Sun X, Zhu H. Effect of avian influenza scare on transmission of zoonotic avian influenza: A case study of influenza A (H7N9). Math Biosci 2024; 367:109125. [PMID: 38072124 DOI: 10.1016/j.mbs.2023.109125] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/10/2023] [Revised: 11/15/2023] [Accepted: 12/06/2023] [Indexed: 01/09/2024]
Abstract
Avian influenza scare is a human psychological factor that asserts both positive and negative effects on the transmission of zoonotic avian influenza. In order to study the dichotomous effect of avian influenza scare on disease transmission, taking H7N9 avian influenza as a typical case, a two-patch epidemic model is proposed. The global dynamics and the threshold criteria are established by LaSalle invariant principle and the theory of asymptotic autonomous system. To mitigate the negative effects and curb illegal poultry trade, a game-theoretic model is adopted to explore the optimal policy of culling subsidies to reasonably compensate stakeholders for their economic losses resulting from the scare. The optimal policy of culling subsidy is found to heavily depend on the penalty of illegal poultry trade, the stakeholders' income, the intensity of control measures, and the prevalence level of the disease. The negative effect of avian influenza scare on disease transmission is considerably more significant than the positive effect. In order to avoid a widespread outbreak of zoonotic avian influenza across the region, a comprehensive national global control strategy is essential and effective, even in the presence of the negative effect of the avian influenza scare.
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Affiliation(s)
- Liu Yang
- School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin, 130024, PR China; China Animal Health and Epidemiology Center, Qingdao, Shandong, 266032, PR China
| | - Meng Fan
- School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin, 130024, PR China.
| | - Youming Wang
- China Animal Health and Epidemiology Center, Qingdao, Shandong, 266032, PR China
| | - Xiangdong Sun
- China Animal Health and Epidemiology Center, Qingdao, Shandong, 266032, PR China
| | - Huaiping Zhu
- LAMPS, Department of Mathematics and Statistics, York university, 4700 Keele Street, Toronto, ON M3J 1P3, Canada
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3
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Rehman S, Rehman N, Li Z, Zhang Y. Potential determinants of parental hesitancy to vaccinate their children against COVID-19 infection: a cross-sectional investigation. Sci Rep 2023; 13:22161. [PMID: 38092826 PMCID: PMC10719250 DOI: 10.1038/s41598-023-47863-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/27/2023] [Accepted: 11/19/2023] [Indexed: 12/17/2023] Open
Abstract
Coronavirus disease 2019 (COVID-19) vaccination hesitancy has emerged as a substantial concern among the adult population globally. However, limited evidence is available about parental hesitancy to vaccinate their children against COVID-19 within the Pakistani context. Thus, the present investigation aimed to assess parental attitudes, perceptions, and willingness regarding vaccination hesitancy and associated predictors of getting their children vaccinated against COVID-19. We conducted a cross-sectional population-based, self-administered online questionnaire in Punjab, Pakistan, on randomly selected parents between October 2022 and February 2023. The data were collected based on socio-demographics, attitudes, perceptions, and willingness of parents regarding COVID-19 vaccine hesitancy for their children. Adjusted odds ratios with 95% confidence intervals were estimated to identify the predictors of vaccine hesitancy. The findings demonstrated that among 1,478 participants, a total of 40% believed that the COVID-19 vaccine may pose a greater risk to children than adults, while 38% exhibited no concerns. Around 13% of children were not vaccinated in our study sample. More than half expressed hesitancy toward vaccination, and only 35.25% were inclined to get their children vaccinated in our study sample. In addition, only 16% of the parents believed that the COVID-19 vaccination may cause an alteration in their children's DNA. A similar proportion of parents were aware of the significance of getting their children vaccinated and expressed their willingness to vaccinate their children to prevent the COVID-19 infection. However, a higher odds ratio was observed in females with a higher educational background and those in the healthcare profession. In conclusion, healthcare awareness-supporting programs for educating parents should be designed and implemented. These insights might aid in the development of strategies to eradicate barriers in existing coronavirus vaccination programs and may vaccinate a larger child population to reduce the adverse consequences of the pandemic.
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Affiliation(s)
- Shazia Rehman
- Department of Psychiatry, National Clinical Research Center for Mental Disorders, National Center for Mental Disorders, The Second Xiangya Hospital of Central South University, Changsha, 410011, Hunan, China
- China National Technology Institute on Mental Disorders, Hunan Technology Institute of Psychiatry, Hunan Key Laboratory of Psychiatry and Mental Health, Hunan Medical Center for Mental Health, Mental Health Institute of Central South University, Changsha, 410011, Hunan, China
| | - Nadia Rehman
- Department of Mathematics, COMSATS University, Wah Campus, Islamabad, Pakistan
| | - Zexuan Li
- Department of Psychiatry, National Clinical Research Center for Mental Disorders, National Center for Mental Disorders, The Second Xiangya Hospital of Central South University, Changsha, 410011, Hunan, China.
- China National Technology Institute on Mental Disorders, Hunan Technology Institute of Psychiatry, Hunan Key Laboratory of Psychiatry and Mental Health, Hunan Medical Center for Mental Health, Mental Health Institute of Central South University, Changsha, 410011, Hunan, China.
| | - Yan Zhang
- Department of Psychiatry, National Clinical Research Center for Mental Disorders, National Center for Mental Disorders, The Second Xiangya Hospital of Central South University, Changsha, 410011, Hunan, China
- China National Technology Institute on Mental Disorders, Hunan Technology Institute of Psychiatry, Hunan Key Laboratory of Psychiatry and Mental Health, Hunan Medical Center for Mental Health, Mental Health Institute of Central South University, Changsha, 410011, Hunan, China
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Zhou Y, Rahman MM, Khanam R, Taylor BR. Individual preferences, government policy, and COVID-19: A game-theoretic epidemiological analysis. APPLIED MATHEMATICAL MODELLING 2023; 122:401-416. [PMID: 37325082 PMCID: PMC10257574 DOI: 10.1016/j.apm.2023.06.014] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/10/2023] [Revised: 05/06/2023] [Accepted: 06/09/2023] [Indexed: 06/17/2023]
Abstract
Purpose The ongoing COVID-19 pandemic imposes serious short-term and long-term health costs on populations. Restrictive government policy measures decrease the risks of infection, but produce similarly serious social, mental health, and economic problems. Citizens have varying preferences about the desirability of restrictive policies, and governments are thus forced to navigate this tension in making pandemic policy. This paper analyses the situation facing government using a game-theoretic epidemiological model. Methodology We classify individuals into health-centered individuals and freedom-centered individuals to capture the heterogeneous preferences of citizens. We first use the extended Susceptible-Exposed-Asymptomatic-Infectious-Recovered (SEAIR) model (adding individual preferences) and the signaling game model (adding government) to analyze the strategic situation against the backdrop of a realistic model of COVID-19 infection. Findings We find the following: 1. There exists two pooling equilibria. When health-centered and freedom-centered individuals send anti-epidemic signals, the government will adopt strict restrictive policies under budget surplus or balance. When health-centered and freedom-centered individuals send freedom signals, the government chooses not to implement restrictive policies. 2. When governments choose not to impose restrictions, the extinction of an epidemic depends on whether it has a high infection transmission rate; when the government chooses to implement non-pharmacological interventions (NPIs), whether an epidemic will disappear depends on how strict the government's restrictions are. Originality/value Based on the existing literature, we add individual preferences and put the government into the game as a player. Our research extends the current form of combining epidemiology and game theory. By using both we get a more realistic understanding of the spread of the virus and combine that with a richer understanding of the strategic social dynamics enabled by game theoretic analysis. Our findings have important implications for public management and government decision-making in the context of COVID-19 and for potential future public health emergencies.
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Affiliation(s)
- Yuxun Zhou
- School of Business, University of Southern Queensland, Toowoomba, Australia
| | | | - Rasheda Khanam
- School of Business, University of Southern Queensland, Toowoomba, Australia
| | - Brad R Taylor
- School of Business, University of Southern Queensland, Toowoomba, Australia
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Chu YM, Rashid S, Akdemir AO, Khalid A, Baleanu D, Al-Sinan BR, Elzibar OAI. Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. RESULTS IN PHYSICS 2023; 49:106467. [PMID: 37153140 PMCID: PMC10140436 DOI: 10.1016/j.rinp.2023.106467] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/12/2023] [Revised: 04/13/2023] [Accepted: 04/17/2023] [Indexed: 05/09/2023]
Abstract
The SARSCoV-2 virus, also known as the coronavirus-2, is the consequence of COVID-19, a severe acute respiratory syndrome. Droplets from an infectious individual are how the pathogen is transmitted from one individual to another and occasionally, these particles can contain toxic textures that could also serve as an entry point for the pathogen. We formed a discrete fractional-order COVID-19 framework for this investigation using information and inferences from Thailand. To combat the illnesses, the region has implemented mandatory vaccination, interpersonal stratification and mask distribution programs. As a result, we divided the vulnerable people into two groups: those who support the initiatives and those who do not take the influence regulations seriously. We analyze endemic problems and common data while demonstrating the threshold evolution defined by the fundamental reproductive quantity R 0 . Employing the mean general interval, we have evaluated the configuration value systems in our framework. Such a framework has been shown to be adaptable to changing pathogen populations over time. The Picard Lindelöf technique is applied to determine the existence-uniqueness of the solution for the proposed scheme. In light of the relationship between the R 0 and the consistency of the fixed points in this framework, several theoretical conclusions are made. Numerous numerical simulations are conducted to validate the outcome.
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Affiliation(s)
- Yu-Ming Chu
- Department of Mathematics, Huzhou University, Huzhou, 313000, China
| | - Saima Rashid
- Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
| | - Ahmet Ocak Akdemir
- Department of Mathematics, Faculty of Science and Arts, Agri Ibrahim Cecen University, Agrı, Turkey
| | - Aasma Khalid
- Department of Mathematics, Government College women University, Faisalabad, Pakistan
| | - Dumitru Baleanu
- Department of Mathematics, Cankaya University, Ankara, Turkey
- Institute of Space Sciences, 06530 Bucharest, Romania
- Department of Natural Sciences, School of Arts and Sciences, Lebanese American University, Beirut 11022801, Lebanon
| | - Bushra R Al-Sinan
- University of Hafr Al-Batin, Nairiyah College, Department of Administrative and Financial Sciences, Saudi Arabia
| | - O A I Elzibar
- Department of Mathematics, Turabah University College, Taif University, P.O. Box 1109, Taif 21944, Saudi Arabia
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Make it or break it: On-time vaccination intent at the time of Covid-19. Vaccine 2023; 41:2063-2072. [PMID: 36803893 PMCID: PMC9905100 DOI: 10.1016/j.vaccine.2023.02.014] [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: 06/27/2021] [Revised: 05/04/2022] [Accepted: 02/05/2023] [Indexed: 02/10/2023]
Abstract
On-time effective vaccination is critical to curbing a pandemic, but this is often hampered by citizens' hesitancy to get quickly vaccinated. This research concentrates on the hypothesis that, besides traditional factors in the literature, vaccination success would hinge on two dimensions: a) addressing a broader set of risk perception factors than health-related issues only, and b) securing sufficient social and institutional trust at the time of vaccination campaign launch. We test this hypothesis regarding Covid-19 vaccination preferences in six European countries and at the early stage of the pandemic by April 2020. We find that addressing the two roadblock dimensions could further boost Covid-19 vaccination coverage by 22%. The study also offers three extra innovations. The first is that the traditional segmentation logic between vaccine "acceptors", "hesitants" and "refusers" is further justified by the fact that segments have different attitudes: refusers care less about health issues than they are worried about family tensions and finance (dimension 1 of our hypothesis). In contrast, hesitants are the battlefield for more transparency by media and government actions (dimension 2 of our hypothesis). The second added value is that we extend our hypothesis testing with a supervised non-parametric machine learning technique (Random Forests). Again, consistent with our hypothesis, this method picks up higher-order interaction between risk and trust variables that strongly predict on-time vaccination intent. We finally explicitly adjust survey responses to account for possible reporting bias. Among others, vaccine-reluctant citizens may under-report their limited will to get vaccinated.
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Blasioli E, Mansouri B, Tamvada SS, Hassini E. Vaccine Allocation and Distribution: A Review with a Focus on Quantitative Methodologies and Application to Equity, Hesitancy, and COVID-19 Pandemic. OPERATIONS RESEARCH FORUM 2023; 4:27. [PMCID: PMC10028329 DOI: 10.1007/s43069-023-00194-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 03/24/2023]
Abstract
This review focuses on vaccine distribution and allocation in the context of the current COVID-19 pandemic. The implications discussed are in the areas of equity in vaccine distribution and allocation (at a national level as well as worldwide), vaccine hesitancy, game-theoretic modeling to guide decision-making and policy-making at a governmental level, distribution and allocation barriers (in particular in low-income countries), and operations research (OR) mathematical models to plan and execute vaccine distribution and allocation. To conduct this review, we adopt a novel methodology that consists of three phases. The first phase deploys a bibliometric analysis; the second phase concentrates on a network analysis; and the last phase proposes a refined literature review based on the results obtained by the previous two phases. The quantitative techniques utilized to conduct the first two phases allow describing the evolution of the research in this area and its potential ramifications in future. In conclusion, we underscore the significance of operations research (OR)/management science (MS) research in addressing numerous challenges and trade-offs connected to the current pandemic and its strategic impact in future research.
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Affiliation(s)
- Emanuele Blasioli
- grid.25073.330000 0004 1936 8227DeGroote School of Business, McMaster University, Hamilton, Canada
| | - Bahareh Mansouri
- grid.412362.00000 0004 1936 8219Sobey School of Business, Saint Mary’s University, Halifax, Canada
| | - Srinivas Subramanya Tamvada
- grid.29857.310000 0001 2097 4281Department of Industrial and Manufacturing Engineering, Pennsylvania State University, State College, PA, USA, PennsyIvania, USA
| | - Elkafi Hassini
- grid.25073.330000 0004 1936 8227DeGroote School of Business, McMaster University, Hamilton, Canada
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Bliman PA, Carrozzo-Magli A, d’Onofrio A, Manfredi P. Tiered social distancing policies and epidemic control. Proc Math Phys Eng Sci 2022. [DOI: 10.1098/rspa.2022.0175] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
Tiered social distancing policies have been adopted by many governments to mitigate the harmful consequences of COVID-19. Such policies have a number of well-established features, i.e. they are short-term, adaptive (to the changing epidemiological conditions), and based on a multiplicity of indicators of the prevailing epidemic activity. Here, we use ideas from Behavioural Epidemiology to represent tiered policies in an SEIRS model by using a composite information index including multiple indicators of current and past epidemic activity mimicking those used by governments during the COVID-19 pandemic, such as transmission intensity, infection incidence and hospitals’ occupancy. In its turn, the dynamics of the information index is assumed to endogenously inform the governmental social distancing interventions. The resulting model is described by a hereditary system showing a noteworthy property, i.e. a dependency of the endemic levels of epidemiological variables from initial conditions. This is a consequence of the need to normalize the different indicators to pool them into a single index. Simulations suggest a rich spectrum of possible results. These include policy suggestions and identify pitfalls and undesired outcomes, such as a worsening of epidemic control, that can arise following such types of approaches to epidemic responses.
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Affiliation(s)
- Pierre-Alexandre Bliman
- Inria, Sorbonne Université, Université Paris-Diderot SPC, CNRS, Laboratoire Jacques-Louis Lions, équipe Mamba, Paris, France
| | | | - Alberto d’Onofrio
- Department of Mathematics and Geosciences, University of Trieste, Trieste, Italy
| | - Piero Manfredi
- Department of Economics and Management, University of Pisa, Pisa, Italy
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9
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Thongtha A, Modnak C. Optimal COVID-19 epidemic strategy with vaccination control and infection prevention measures in Thailand. Infect Dis Model 2022; 7:835-855. [PMID: 36438694 PMCID: PMC9678212 DOI: 10.1016/j.idm.2022.11.002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/09/2022] [Revised: 09/14/2022] [Accepted: 11/03/2022] [Indexed: 11/23/2022] Open
Abstract
COVID-19 is a severe acute respiratory syndrome caused by the Coronavirus-2 virus (SARS-CoV-2). The virus spreads from one to another through droplets from an infected person, and sometimes these droplets can contaminate surfaces that may be another infection pathway. In this study, we developed a COVID-19 model based on data and observations in Thailand. The country has strictly distributed masks, vaccination, and social distancing measures to control the disease. Hence, we have classified the susceptible individuals into two classes: one who follows the measures and another who does not take the control guidelines seriously. We conduct epidemic and endemic analyses and represent the threshold dynamics characterized by the basic reproduction number. We have examined the parameter values used in our model using the mean general interval (GI). From the calculation, the value is 5.5 days which is the optimal value of the COVID-19 model. Besides, we have formulated an optimal control problem to seek guidelines maintaining the spread of COVID-19. Our simulations suggest that high-risk groups with no precaution to prevent the disease (maybe due to lack of budgets or equipment) are crucial to getting vaccinated to reduce the number of infections. The results also indicate that preventive measures are the keys to controlling the disease.
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Affiliation(s)
- Adison Thongtha
- Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand
| | - Chairat Modnak
- Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand
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Teslya A, Nunner H, Buskens V, Kretzschmar ME. The effect of competition between health opinions on epidemic dynamics. PNAS NEXUS 2022; 1:pgac260. [PMID: 36712334 PMCID: PMC9802282 DOI: 10.1093/pnasnexus/pgac260] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/09/2022] [Accepted: 11/08/2022] [Indexed: 11/18/2022]
Abstract
Past major epidemic events showed that when an infectious disease is perceived to cause severe health outcomes, individuals modify health behavior affecting epidemic dynamics. To investigate the effect of this feedback relationship on epidemic dynamics, we developed a compartmental model that couples a disease spread framework with competition of two mutually exclusive health opinions (health-positive and health-neutral) associated with different health behaviors. The model is based on the assumption that individuals switch health opinions as a result of exposure to opinions of others through interpersonal communications. To model opinion switch rates, we considered a family of functions and identified the ones that allow health opinions to coexist. Finally, the model includes assortative mixing by opinions. In the disease-free population, either the opinions cannot coexist and one of them is always dominating (mono-opinion equilibrium) or there is at least one stable coexistence of opinions equilibrium. In the latter case, there is multistability between the coexistence equilibrium and the two mono-opinion equilibria. When two opinions coexist, it depends on their distribution whether the infection can invade. If presence of the infection leads to increased switching to a health-positive opinion, the epidemic burden becomes smaller than indicated by the basic reproduction number. Additionally, a feedback between epidemic dynamics and health opinion dynamics may result in (sustained) oscillatory dynamics and a switch to a different stable opinion distribution. Our model captures feedback between spread of awareness through social interactions and infection dynamics and can serve as a basis for more elaborate individual-based models.
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Affiliation(s)
- Alexandra Teslya
- Julius Center for Health Sciences and Primary Care, University Medical Center Utrecht, Utrecht University, Universiteitsweg 100, 3584 CX Utrecht, The Netherlands
| | - Hendrik Nunner
- Department of Sociology/ICS, Utrecht University, Padualaan 14, 3584 CH Utrecht, The Netherlands
- Centre for Complex System Studies (CCSS), Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands
| | - Vincent Buskens
- Department of Sociology/ICS, Utrecht University, Padualaan 14, 3584 CH Utrecht, The Netherlands
- Centre for Complex System Studies (CCSS), Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands
| | - Mirjam E Kretzschmar
- Julius Center for Health Sciences and Primary Care, University Medical Center Utrecht, Utrecht University, Universiteitsweg 100, 3584 CX Utrecht, The Netherlands
- Centre for Complex System Studies (CCSS), Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands
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11
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Campo VN, Palacios JL, Nagahashi H, Oh H, Rychtář J, Taylor D. A game-theoretic model of rabies in domestic dogs with multiple voluntary preventive measures. J Math Biol 2022; 85:57. [PMID: 36264390 PMCID: PMC9583067 DOI: 10.1007/s00285-022-01826-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/12/2022] [Revised: 08/14/2022] [Accepted: 10/02/2022] [Indexed: 11/26/2022]
Abstract
Game theory is now routinely applied to quantitatively model the decision making of individuals presented with various voluntary actions that can prevent a given disease. Most models consider only a single preventive strategy and the case where multiple preventative actions are available is severely understudied. In our paper, we consider a very simple SI compartmental model of rabies in the domestic dog population. We study two choices of the dog owners: to vaccinate their dogs or to restrict the movements of unvaccinated dogs. We analyze the relatively rich patterns of Nash equilibria (NE). We show that there is always at least one NE at which the owners utilize only one form of prevention. However, there can be up to three different NEs at the same time: two NEs at which the owners use exclusively only the vaccination or movement restriction, and the third NE when the owners use both forms of prevention simultaneously. However, we also show that, unlike the first two types of NEs, the third kind of NE is not convergent stable.
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Affiliation(s)
- Vince N. Campo
- School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85281 USA
| | - John Lawrence Palacios
- Division of Mathematics and Computer Science, University of Guam, Mangilao, GU 96913 USA
- Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284 USA
| | - Hideo Nagahashi
- Division of Mathematics and Computer Science, University of Guam, Mangilao, GU 96913 USA
| | - Hyunju Oh
- Division of Mathematics and Computer Science, University of Guam, Mangilao, GU 96913 USA
| | - Jan Rychtář
- Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284 USA
| | - Dewey Taylor
- Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284 USA
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12
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Ge J, Wang W. Vaccination games in prevention of infectious diseases with application to COVID-19. CHAOS, SOLITONS, AND FRACTALS 2022; 161:112294. [PMID: 35702367 PMCID: PMC9186443 DOI: 10.1016/j.chaos.2022.112294] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 04/24/2022] [Revised: 05/30/2022] [Accepted: 05/31/2022] [Indexed: 06/15/2023]
Abstract
Vaccination coverage is crucial for disease prevention and control. An appropriate combination of compulsory vaccination with voluntary vaccination is necessary to achieve the goal of herd immunity for some epidemic diseases such as measles and COVID-19. A mathematical model is proposed that incorporates both compulsory vaccination and voluntary vaccination, where a decision of voluntary vaccination is made on the basis of game evaluation by comparing the expected returns of different strategies. It is shown that the threshold of disease invasion is determined by the reproduction numbers, and an over-response in magnitude or information interval in the dynamic games could induce periodic oscillations from the Hopf bifurcation. The theoretical results are applied to COVID-19 to find out the strategies for protective immune barrier against virus variants.
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Affiliation(s)
- Jingwen Ge
- School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
| | - Wendi Wang
- School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
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13
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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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14
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Rachaniotis NP, Dasaklis TK, Fotopoulos F, Chouzouris M, Sypsa V, Lyberaki A, Tinios P. Is Mandatory Vaccination in Population over 60 Adequate to Control the COVID-19 Pandemic in E.U.? Vaccines (Basel) 2022; 10:vaccines10020329. [PMID: 35214788 PMCID: PMC8880699 DOI: 10.3390/vaccines10020329] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/30/2022] [Revised: 02/08/2022] [Accepted: 02/14/2022] [Indexed: 12/13/2022] Open
Abstract
Vaccine hesitancy, which potentially leads to the refusal or delayed acceptance of COVID-19 vaccines, is considered a key driver of the increasing death toll from the pandemic in the EU. The European Commission and several member states’ governments are either planning or have already directly or indirectly announced mandatory vaccination for individuals aged over 60, the group which has repeatedly proved to be the most vulnerable. In this paper, an assessment of this strategy’s benefits is attempted by deriving a metric for the potential gains of vaccination mandates that can be used to compare EU member states. This is completed by examining the reduction in Standard Expected Years of Life Lost (SEYLL) per person for the EU population over 60 as a function of the member states’ vaccination percentage in these ages. The publicly available data and results of the second iteration of the SHARE COVID-19 survey on the acceptance of COVID-19 vaccines, conducted during the summer of 2021, are used as inputs.
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Affiliation(s)
- Nikolaos P. Rachaniotis
- Department of Industrial Management and Technology, University of Piraeus, 18534 Piraeus, Greece
- Correspondence:
| | - Thomas K. Dasaklis
- School of Social Sciences, Hellenic Open University, 26335 Patras, Greece;
| | | | - Michalis Chouzouris
- Department of Statistics and Insurance Science, University of Piraeus, 18534 Piraeus, Greece; (M.C.); (P.T.)
| | - Vana Sypsa
- Department of Hygiene, Epidemiology and Medical Statistics, School of Medicine, National and Kapodistrian University of Athens, 11527 Athens, Greece;
| | - Antigone Lyberaki
- Department of Economic & Regional Development, Panteion University, 17671 Athens, Greece;
| | - Platon Tinios
- Department of Statistics and Insurance Science, University of Piraeus, 18534 Piraeus, Greece; (M.C.); (P.T.)
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15
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Buonomo B, Della Marca R, d'Onofrio A, Groppi M. A behavioural modelling approach to assess the impact of COVID-19 vaccine hesitancy. J Theor Biol 2022; 534:110973. [PMID: 34896166 PMCID: PMC8651553 DOI: 10.1016/j.jtbi.2021.110973] [Citation(s) in RCA: 11] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/22/2021] [Revised: 10/22/2021] [Accepted: 11/17/2021] [Indexed: 12/13/2022]
Abstract
We introduce a compartmental epidemic model to describe the spread of COVID-19 within a population, assuming that a vaccine is available, but vaccination is not mandatory. The model takes into account vaccine hesitancy and the refusal of vaccination by individuals, which take their decision on vaccination based on both the present and past information about the spread of the disease. Theoretical analysis and simulations show that voluntary vaccination can certainly reduce the impact of the disease but is unable to eliminate it. We also demonstrate how the information-related parameters affect the dynamics of the disease. In particular, vaccine hesitancy and refusal are better contained in case of widespread information coverage and short-term memory. Finally, the possible impact of seasonality on the spread of the disease is investigated.
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Affiliation(s)
- Bruno Buonomo
- Department of Mathematics and Applications, University of Naples Federico II, via Cintia, I-80126 Naples, Italy.
| | - Rossella Della Marca
- Department of Mathematics and Applications, University of Naples Federico II, via Cintia, I-80126 Naples, Italy.
| | | | - Maria Groppi
- Department of Mathematical, Physical and Computer Sciences, University of Parma, Parco Area delle Scienze 53/A, 43124 Parma, Italy.
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16
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Xie R, Jia Y, Wu Y, Zhang P. Four-party evolutionary game analysis of supervision for vaccine quality in major epidemics. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2022. [DOI: 10.3233/jifs-212146] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
During major epidemics, monitoring vaccine quality can ensure the public health and social stability. Considering that social media has become an important way for the public to obtain external information during the epidemic. We developed a dual regulatory system of vaccine quality with the government in the leading role and the participation of We Media, and constructed a four-party evolutionary game model (government regulatory agency, We Media, vaccine industry groups, and the public) and analyzed the stability of each game player’s strategy choice. The system’s possible equilibrium points are identified using Lyapunov’s first law. Then the game trajectory between stakeholders is simulated by MATLAB, the effects of initial intention and parameters on the evolution process and results are analyzed. The results show that to ensure the quality and safety of vaccines and stabilize network public opinion during epidemics, the government should invest in an effective supervision mechanism. By strengthening responsibility, increasing penalties, and reducing supervision costs, the probability of vaccine industry groups providing high-quality vaccines is effectively enhanced. Restricting the behavior of We Media and supervising vaccine industry groups to reduce speculation reduces the cost of government supervision and improves its efficiency.
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Affiliation(s)
- Rongjian Xie
- Business School, Nanjing University of Information Science & Technology, Nanjing, China
- School of Economics and Management, Anhui Polytechnic University, Wuhu, China
| | - Yucai Jia
- School of Economics and Management, Anhui Polytechnic University, Wuhu, China
| | - Yuanmei Wu
- School of Economics and Management, Anhui Polytechnic University, Wuhu, China
| | - Peiyun Zhang
- School of Computer and Software, Nanjing University of Information Science & Technology, Nanjing, China
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17
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Angina J, Bachhu A, Talati E, Talati R, Rychtář J, Taylor D. Game-Theoretical Model of the Voluntary Use of Insect Repellents to Prevent Zika Fever. DYNAMIC GAMES AND APPLICATIONS 2022; 12:133-146. [PMID: 35127230 PMCID: PMC8800840 DOI: 10.1007/s13235-021-00418-8] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 12/10/2021] [Indexed: 05/14/2023]
Abstract
Zika fever is an emerging mosquito-borne disease. While it often causes no or only mild symptoms that are similar to dengue fever, Zika virus can spread from a pregnant woman to her baby and cause severe birth defects. There is no specific treatment or vaccine, but the disease can be mitigated by using several control strategies, generally focusing on the reduction in mosquitoes or mosquito bites. In this paper, we model Zika virus transmission and incorporate a game-theoretical approach to study a repeated population game of DEET usage to prevent insect bites. We show that the optimal use effectively leads to disease elimination. This result is robust and not significantly dependent on the cost of the insect repellents.
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Affiliation(s)
- Jabili Angina
- Department of Biology, Virginia Commonwealth University, Richmond, VA 23284-2012 USA
| | - Anish Bachhu
- Department of Biology, Virginia Commonwealth University, Richmond, VA 23284-2012 USA
| | - Eesha Talati
- Department of Biology, Virginia Commonwealth University, Richmond, VA 23284-2012 USA
| | - Rishi Talati
- Department of Biology, Virginia Commonwealth University, Richmond, VA 23284-2012 USA
| | - Jan Rychtář
- Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284-2014 USA
| | - Dewey Taylor
- Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284-2014 USA
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18
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Barnes B, Ackora-Prah J, Boateng FO, Amanor L. Mathematical modelling of the epidemiology of COVID-19 infection in Ghana. SCIENTIFIC AFRICAN 2021; 15:e01070. [PMID: 34961847 PMCID: PMC8683386 DOI: 10.1016/j.sciaf.2021.e01070] [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: 07/09/2021] [Revised: 10/26/2021] [Accepted: 12/09/2021] [Indexed: 10/29/2022] Open
Abstract
In this paper, Covid-19 patients with self-immunity is incorporated in the Susceptible-Exposed-Infected-Quarantined-Recovered ( S E I Q R ) model is applied to describe the epidemiology of Covid-19 infection in Ghana. Based on data on the epidemiology of the Covid-19 infection in Ghana, we observed that, on an average, three persons contract the Covid-19 infection from an infected person daily based using the basic reproductive number ( R o ) derived from the SEIQR model. In addition, the threshold condition for the long term stability of the Covid-19 infection in Ghana is derived from this model. Based on the Dulac criterion, it was observed that for a long period of time the epidemiology of Covid-19 in Ghana will be under control. Again, we observed that both the transmission rate natural death rate of a person in the various classes mostly influence the spread of Covid-19 infection followed by the exposed rate from exposure class to the infected class, then the rate at which an infected person is quarantined and finally, the rate at an exposed person is quarantined. On the other hand, the rate at which an exposed person recovers from his/her have least influence on the spread of Covid-19 infection in the country. Nevertheless, the rates of birth, transmission of Covid-19 infection to a susceptible person, exposure to Covid-19 infection and Covid-19 patient who is quarantined by the facilities provided by the Ghana Health Service ( G H S ) are in direct relationship with R o . However, the rates at which a quarantiner dies from a Covid-19 infection, an infected person dies from a Covid-19 infection, natural death from each class and the recoveries from an infected class, exposed class and quarantined class are in relationship with R o .
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Affiliation(s)
- Benedict Barnes
- Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana
| | - Joseph Ackora-Prah
- Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana
| | - Francis Ohene Boateng
- Department of Mathematics Education, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana
| | - Leticia Amanor
- Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana
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19
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Parents' Decisions to Vaccinate Children against COVID-19: A Scoping Review. Vaccines (Basel) 2021; 9:vaccines9121476. [PMID: 34960221 PMCID: PMC8705627 DOI: 10.3390/vaccines9121476] [Citation(s) in RCA: 34] [Impact Index Per Article: 11.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/17/2021] [Revised: 12/03/2021] [Accepted: 12/10/2021] [Indexed: 12/13/2022] Open
Abstract
Since 2019, the COVID-19 pandemic has resulted in sickness, hospitalizations, and deaths of the old and young and impacted global social and economy activities. Vaccination is one of the most important and efficient ways to protect against the COVID-19 virus. In a review of the literature on parents’ decisions to vaccinate their children, we found that widespread vaccination was hampered by vaccine hesitancy, especially for children who play an important role in the coronavirus transmission in both family and school. To analyze parent vaccination decision-making for children, our review of the literature on parent attitudes to vaccinating children, identified the objective and subjective influencing factors in their vaccination decision. We found that the median rate of parents vaccinating their children against COVID-19 was 59.3% (IQR 48.60~73.90%). The factors influencing parents’ attitudes towards child vaccination were heterogeneous, reflecting country-specific factors, but also displaying some similar trends across countries, such as the education level of parents. The leading reason in the child vaccination decision was to protect children, family and others; and the fear of side effects and safety was the most important reason in not vaccinating children. Our study informs government and health officials about appropriate vaccination policies and measures to improve the vaccination rate of children and makes specific recommendations on enhancing child vaccinate rates.
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20
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Alarid-Escudero F, Gracia V, Luviano A, Roa J, Peralta Y, Reitsma MB, Claypool AL, Salomon JA, Studdert DM, Andrews JR, Goldhaber-Fiebert JD. Dependence of COVID-19 Policies on End-of-Year Holiday Contacts in Mexico City Metropolitan Area: A Modeling Study. MDM Policy Pract 2021; 6:23814683211049249. [PMID: 34660906 PMCID: PMC8512280 DOI: 10.1177/23814683211049249] [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: 03/01/2021] [Accepted: 08/28/2021] [Indexed: 11/16/2022] Open
Abstract
Background. Mexico City Metropolitan Area (MCMA) has the largest number of COVID-19 (coronavirus disease 2019) cases in Mexico and is at risk of exceeding its hospital capacity in early 2021. Methods. We used the Stanford-CIDE Coronavirus Simulation Model (SC-COSMO), a dynamic transmission model of COVID-19, to evaluate the effect of policies considering increased contacts during the end-of-year holidays, intensification of physical distancing, and school reopening on projected confirmed cases and deaths, hospital demand, and hospital capacity exceedance. Model parameters were derived from primary data, literature, and calibrated. Results. Following high levels of holiday contacts even with no in-person schooling, MCMA will have 0.9 million (95% prediction interval 0.3-1.6) additional COVID-19 cases between December 7, 2020, and March 7, 2021, and hospitalizations will peak at 26,000 (8,300-54,500) on January 25, 2021, with a 97% chance of exceeding COVID-19-specific capacity (9,667 beds). If MCMA were to control holiday contacts, the city could reopen in-person schools, provided they increase physical distancing with 0.5 million (0.2-0.9) additional cases and hospitalizations peaking at 12,000 (3,700-27,000) on January 19, 2021 (60% chance of exceedance). Conclusion. MCMA must increase COVID-19 hospital capacity under all scenarios considered. MCMA's ability to reopen schools in early 2021 depends on sustaining physical distancing and on controlling contacts during the end-of-year holiday.
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Affiliation(s)
- Fernando Alarid-Escudero
- Division of Public Administration, Center for Research and Teaching in Economics (CIDE), Aguascalientes, Mexico
| | - Valeria Gracia
- Center for Research and Teaching in Economics (CIDE), Aguascalientes, Mexico
| | - Andrea Luviano
- Center for Research and Teaching in Economics (CIDE), Aguascalientes, Mexico
| | - Jorge Roa
- Center for Research and Teaching in Economics (CIDE), Aguascalientes, Mexico
| | - Yadira Peralta
- Division of Economics, Center for Research and Teaching in Economics (CIDE), Aguascalientes, Mexico
| | - Marissa B Reitsma
- Center for Health Policy and the Center for Primary Care and Outcomes Research, Department of Health Policy and The Freeman Spogli Institute, Stanford University, Stanford, California
| | - Anneke L Claypool
- Department of Management Science and Engineering, Stanford University, Stanford, California
| | - Joshua A Salomon
- Center for Health Policy and the Center for Primary Care and Outcomes Research, Department of Health Policy and The Freeman Spogli Institute, Stanford University, Stanford, California
| | - David M Studdert
- Stanford Law School and Stanford Health Policy, Stanford University, Stanford, California
| | - Jason R Andrews
- Division of Infectious Diseases and Geographic Medicine, Stanford University School of Medicine, Stanford, California
| | - Jeremy D Goldhaber-Fiebert
- Center for Health Policy and the Center for Primary Care and Outcomes Research, Department of Health Policy and The Freeman Spogli Institute, Stanford University, Stanford, California
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21
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Abstract
The COVID-19 pandemic and subsequent lockdowns highlight the close and delicate relationship between a country’s public health and economic health. Models that combine macroeconomic factors with traditional epidemic dynamics to calculate the impacts of a disease outbreak are therefore extremely useful for policymakers seeking to evaluate the best course of action in such a crisis. We developed a macroeconomic SIR model that considers herd immunity, behavior-dependent transmission rates, remote workers, and the indirect externalities of lockdowns. It is formulated as an exit time control problem where a social planner is able to prescribe separate levels of the lockdown low-risk and high-risk portions of the adult population. The model predicts that by considering the possibility of reaching herd immunity, high-risk individuals are able to leave lockdown sooner than in models where herd immunity is not considered. Additionally, a behavior-dependent transmission rate (which represents increased personal caution in response to increased infection levels) can lower both output loss and total mortality. Overall, the model-determined optimal lockdown strategy, combined with individual actions to slow virus transmission, is able to reduce total mortality to one-third of the model-predicted no-lockdown level of mortality.
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22
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Rachaniotis NP, Dasaklis TK, Fotopoulos F, Tinios P. A Two-Phase Stochastic Dynamic Model for COVID-19 Mid-Term Policy Recommendations in Greece: A Pathway towards Mass Vaccination. INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH 2021; 18:2497. [PMID: 33802501 PMCID: PMC7967634 DOI: 10.3390/ijerph18052497] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/28/2021] [Revised: 02/24/2021] [Accepted: 02/26/2021] [Indexed: 12/23/2022]
Abstract
From 7 November 2020, Greece adopted a second nationwide lockdown policy to mitigate the transmission of SARS-CoV-2 (the first took place from 23 March to 4 May 2020), just as the second wave of COVID-19 was advancing, as did other European countries. To secure the full benefits of mass vaccination, which started in early January 2021, it is of utmost importance to complement it with mid-term non-pharmaceutical interventions (NPIs). The objective was to minimize human losses and to limit social and economic costs. In this paper a two-phase stochastic dynamic network compartmental model (a pre-vaccination SEIR until 15 February 2021 and a post-vaccination SVEIR from 15 February 2021 to 30 June 2021) is developed. Three scenarios are assessed for the first phase: (a) A baseline scenario, which lifts the national lockdown and all NPIs in January 2021; (b) a "semi-lockdown" scenario with school opening, partial retail sector operation, universal mask wearing, and social distancing/teleworking in January 2021; and (c) a "rolling lockdown" scenario combining a partial lifting of measures in January 2021 followed by a third nationwide lockdown in February 2021. In the second phase three scenarios with different vaccination rates are assessed. Publicly available data along with some first results of the SHARE COVID-19 survey conducted in Greece are used as input. The results regarding the first phase indicate that the "semi-lockdown" scenario clearly outperforms the third lockdown scenario (5.7% less expected fatalities); the second phase is extremely sensitive on the availability of sufficient vaccine supplies and high vaccination rates.
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Affiliation(s)
- Nikolaos P. Rachaniotis
- Department of Industrial Management and Technology, University of Piraeus, 18534 Piraeus, Greece;
| | - Thomas K. Dasaklis
- Department of Industrial Management and Technology, University of Piraeus, 18534 Piraeus, Greece;
| | | | - Platon Tinios
- Department of Statistics and Insurance Science, University of Piraeus, 18534 Piraeus, Greece;
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23
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Sinha S, Nath D, Roy S. Mass Testing and Proactiveness Affect Epidemic Spreading. J Indian Inst Sci 2021; 101:371-380. [PMID: 34393389 PMCID: PMC8345261 DOI: 10.1007/s41745-021-00247-z] [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: 05/25/2021] [Accepted: 06/04/2021] [Indexed: 02/07/2023]
Abstract
The detection and management of diseases become quite complicated when pathogens contain asymptomatic phenotypes amongst their ranks, as evident during the recent COVID-19 pandemic. Spreading of diseases has been studied extensively under the paradigm of susceptible-infected-recovered-deceased (SIRD) dynamics. Various game-theoretic approaches have also addressed disease spread, many of which consider S , I , R , and D as strategies rather than as states. Remarkably, most studies from the above approaches do not account for the distinction between the symptomatic or asymptomatic aspect of the disease. It is well-known that precautionary measures like washing hands, wearing masks and social distancing significantly mitigate the spread of many contagious diseases. Herein, we consider the adoption of such precautions as strategies and treat S , I , R , and D as states. We also attempt to capture the differences in epidemic spreading arising from symptomatic and asymptomatic diseases on various network topologies. Through extensive computer simulations, we examine that the cost of maintaining precautionary measures as well as the extent of mass testing in a population affects the final fraction of socially responsible individuals. We observe that the lack of mass testing could potentially lead to a pandemic in case of asymptomatic diseases. Network topology also seems to play an important role. We further observe that the final fraction of proactive individuals depends on the initial fraction of both infected as well as proactive individuals. Additionally, edge density can significantly influence the overall outcome. Our findings are in broad agreement with the lessons learnt from the ongoing COVID-19 pandemic.
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Affiliation(s)
- Saptarshi Sinha
- grid.418423.80000 0004 1768 2239Department of Physics, Bose Institute, 93/1 Acharya Prafulla Chandra Road, Kolkata, 700009 India
| | - Deep Nath
- grid.418423.80000 0004 1768 2239Department of Physics, Bose Institute, 93/1 Acharya Prafulla Chandra Road, Kolkata, 700009 India
| | - Soumen Roy
- grid.418423.80000 0004 1768 2239Department of Physics, Bose Institute, 93/1 Acharya Prafulla Chandra Road, Kolkata, 700009 India
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24
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Alarid-Escudero F, Gracia V, Luviano A, Peralta Y, Reitsma MB, Claypool AL, Salomon JA, Studdert DM, Andrews JR, Goldhaber-Fiebert JD. How do Covid-19 policy options depend on end-of-year holiday contacts in Mexico City Metropolitan Area? A Modeling Study. MEDRXIV : THE PREPRINT SERVER FOR HEALTH SCIENCES 2020:2020.12.21.20248597. [PMID: 33398301 PMCID: PMC7781344 DOI: 10.1101/2020.12.21.20248597] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
BACKGROUND With more than 20 million residents, Mexico City Metropolitan Area (MCMA) has the largest number of Covid-19 cases in Mexico and is at risk of exceeding its hospital capacity in late December 2020. METHODS We used SC-COSMO, a dynamic compartmental Covid-19 model, to evaluate scenarios considering combinations of increased contacts during the holiday season, intensification of social distancing, and school reopening. Model parameters were derived from primary data from MCMA, published literature, and calibrated to time-series of incident confirmed cases, deaths, and hospital occupancy. Outcomes included projected confirmed cases and deaths, hospital demand, and magnitude of hospital capacity exceedance. FINDINGS Following high levels of holiday contacts even with no in-person schooling, we predict that MCMA will have 1·0 million (95% prediction interval 0·5 - 1·7) additional Covid-19 cases between December 7, 2020 and March 7, 2021 and that hospitalizations will peak at 35,000 (14,700 - 67,500) on January 27, 2021, with a >99% chance of exceeding Covid-19-specific capacity (9,667 beds). If holiday contacts can be controlled, MCMA can reopen in-person schools provided social distancing is increased with 0·5 million (0·2 - 1·0) additional cases and hospitalizations peaking at 14,900 (5,600 - 32,000) on January 23, 2021 (77% chance of exceedance). INTERPRETATION MCMA must substantially increase Covid-19 hospital capacity under all scenarios considered. MCMA's ability to reopen schools in mid-January 2021 depends on sustaining social distancing and that contacts during the end-of-year holiday were well controlled. FUNDING Society for Medical Decision Making, Gordon and Betty Moore Foundation, and Wadhwani Institute for Artificial Intelligence Foundation. RESEARCH IN CONTEXT Evidence before this study: As of mid-December 2020, Mexico has the twelfth highest incidence of confirmed cases of Covid-19 worldwide and its epidemic is currently growing. Mexico's case fatality ratio (CFR) - 9·1% - is the second highest in the world. With more than 20 million residents, Mexico City Metropolitan Area (MCMA) has the highest number and incidence rate of Covid-19 confirmed cases in Mexico and a CFR of 8·1%. MCMA is nearing its current hospital capacity even as it faces the prospect of increased social contacts during the 2020 end-of-year holidays. There is limited Mexico-specific evidence available on epidemic, such as parameters governing time-dependent mortality, hospitalization and transmission. Literature searches required supplementation through primary data analysis and model calibration to support the first realistic model-based Covid-19 policy evaluation for Mexico, which makes this analysis relevant and timely.Added value of this study: Study strengths include the use of detailed primary data provided by MCMA; the Bayesian model calibration to enable evaluation of projections and their uncertainty; and consideration of both epidemic and health system outcomes. The model projects that failure to limit social contacts during the end-of-year holidays will substantially accelerate MCMA's epidemic (1·0 million (95% prediction interval 0·5 - 1·7) additional cases by early March 2021). Hospitalization demand could reach 35,000 (14,700 - 67,500), with a >99% chance of exceeding current capacity (9,667 beds). Controlling social contacts during the holidays could enable MCMA to reopen in-person schooling without greatly exacerbating the epidemic provided social distancing in both schools and the community were maintained. Under all scenarios and policies, current hospital capacity appears insufficient, highlighting the need for rapid capacity expansion.Implications of all the available evidence: MCMA officials should prioritize rapid hospital capacity expansion. MCMA's ability to reopen schools in mid-January 2021 depends on sustaining social distancing and that contacts during the end-of-year holiday were well controlled.
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Affiliation(s)
- Fernando Alarid-Escudero
- Division of Public Administration, Center for Research and Teaching in Economics (CIDE), Circuito Tecnopolo Norte 117, Col. Tecnopolo Pocitos II, Aguascalientes, Aguascalientes, 20313, Mexico
| | - Valeria Gracia
- Center for Research and Teaching in Economics (CIDE), Circuito Tecnopolo Norte 117, Col. Tecnopolo Pocitos II, Aguascalientes, Aguascalientes, 20313, Mexico
| | - Andrea Luviano
- Center for Research and Teaching in Economics (CIDE), Circuito Tecnopolo Norte 117, Col. Tecnopolo Pocitos II, Aguascalientes, Aguascalientes, 20313, Mexico
| | - Yadira Peralta
- Division of Economics, Center for Research and Teaching in Economics (CIDE), Circuito Tecnopolo Norte 117, Col. Tecnopolo Pocitos II, Aguascalientes, Aguascalientes, 20313, Mexico
| | - Marissa B. Reitsma
- Center for Health Policy and the Center for Primary Care and Outcomes Research, Department of Medicine, Stanford University School of Medicine, 615 Crothers Way, Stanford, CA, 94305, USA
| | - Anneke L. Claypool
- Department of Management Science and Engineering, Stanford University, 475 Via Ortega, Stanford, CA, 94305, USA
| | - Joshua A. Salomon
- Center for Health Policy and the Center for Primary Care and Outcomes Research, Department of Medicine, Stanford University School of Medicine, 615 Crothers Way, Stanford, CA, 94305, USA
| | - David M. Studdert
- Stanford Law School and Stanford Health Policy and the Department of Medicine, Stanford University School of Medicine, 615 Crothers Way, Stanford, CA, 94305, USA
| | - Jason R. Andrews
- Division of Infectious Diseases and Geographic Medicine, Stanford University School of Medicine, 615 Crothers Way, Stanford, CA, 94305, USA
| | - Jeremy D. Goldhaber-Fiebert
- Center for Health Policy and the Center for Primary Care and Outcomes Research, Department of Medicine, Stanford University School of Medicine, 615 Crothers Way, Stanford, CA, 94305, USA
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25
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LeBlanc Z, Waterhouse P, Bally J. Plant-Based Vaccines: The Way Ahead? Viruses 2020; 13:E5. [PMID: 33375155 PMCID: PMC7822169 DOI: 10.3390/v13010005] [Citation(s) in RCA: 21] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/21/2020] [Revised: 12/16/2020] [Accepted: 12/19/2020] [Indexed: 12/20/2022] Open
Abstract
Severe virus outbreaks are occurring more often and spreading faster and further than ever. Preparedness plans based on lessons learned from past epidemics can guide behavioral and pharmacological interventions to contain and treat emergent diseases. Although conventional biologics production systems can meet the pharmaceutical needs of a community at homeostasis, the COVID-19 pandemic has created an abrupt rise in demand for vaccines and therapeutics that highlight the gaps in this supply chain's ability to quickly develop and produce biologics in emergency situations given a short lead time. Considering the projected requirements for COVID-19 vaccines and the necessity for expedited large scale manufacture the capabilities of current biologics production systems should be surveyed to determine their applicability to pandemic preparedness. Plant-based biologics production systems have progressed to a state of commercial viability in the past 30 years with the capacity for production of complex, glycosylated, "mammalian compatible" molecules in a system with comparatively low production costs, high scalability, and production flexibility. Continued research drives the expansion of plant virus-based tools for harnessing the full production capacity from the plant biomass in transient systems. Here, we present an overview of vaccine production systems with a focus on plant-based production systems and their potential role as "first responders" in emergency pandemic situations.
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Affiliation(s)
- Zacharie LeBlanc
- Centre for Agriculture and the Bioeconomy, Queensland University of Technology (QUT), Brisbane, QLD 4000, Australia;
| | - Peter Waterhouse
- Centre for Agriculture and the Bioeconomy, Queensland University of Technology (QUT), Brisbane, QLD 4000, Australia;
- ARC Centre of Excellence for Plant Success in Nature and Agriculture, Queensland University of Technology (QUT), Brisbane, QLD 4000, Australia
| | - Julia Bally
- Centre for Agriculture and the Bioeconomy, Queensland University of Technology (QUT), Brisbane, QLD 4000, Australia;
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DeepSOCIAL: Social Distancing Monitoring and Infection Risk Assessment in COVID-19 Pandemic. APPLIED SCIENCES-BASEL 2020. [DOI: 10.3390/app10217514] [Citation(s) in RCA: 45] [Impact Index Per Article: 11.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Abstract
Social distancing is a recommended solution by the World Health Organisation (WHO) to minimise the spread of COVID-19 in public places. The majority of governments and national health authorities have set the 2-m physical distancing as a mandatory safety measure in shopping centres, schools and other covered areas. In this research, we develop a hybrid Computer Vision and YOLOv4-based Deep Neural Network (DNN) model for automated people detection in the crowd in indoor and outdoor environments using common CCTV security cameras. The proposed DNN model in combination with an adapted inverse perspective mapping (IPM) technique and SORT tracking algorithm leads to a robust people detection and social distancing monitoring. The model has been trained against two most comprehensive datasets by the time of the research—the Microsoft Common Objects in Context (MS COCO) and Google Open Image datasets. The system has been evaluated against the Oxford Town Centre dataset (including 150,000 instances of people detection) with superior performance compared to three state-of-the-art methods. The evaluation has been conducted in challenging conditions, including occlusion, partial visibility, and under lighting variations with the mean average precision of 99.8% and the real-time speed of 24.1 fps. We also provide an online infection risk assessment scheme by statistical analysis of the spatio-temporal data from people’s moving trajectories and the rate of social distancing violations. We identify high-risk zones with the highest possibility of virus spread and infection. This may help authorities to redesign the layout of a public place or to take precaution actions to mitigate high-risk zones. The developed model is a generic and accurate people detection and tracking solution that can be applied in many other fields such as autonomous vehicles, human action recognition, anomaly detection, sports, crowd analysis, or any other research areas where the human detection is in the centre of attention.
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