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Vaccination games in prevention of infectious diseases with application to COVID-19

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  • Ge, Jingwen
  • Wang, Wendi

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.

Suggested Citation

  • Ge, Jingwen & Wang, Wendi, 2022. "Vaccination games in prevention of infectious diseases with application to COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005045
    DOI: 10.1016/j.chaos.2022.112294
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    References listed on IDEAS

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    1. Bin Wu & Feng Fu & Long Wang, 2011. "Imperfect Vaccine Aggravates the Long-Standing Dilemma of Voluntary Vaccination," PLOS ONE, Public Library of Science, vol. 6(6), pages 1-7, June.
    2. Chris T Bauch & Samit Bhattacharyya, 2012. "Evolutionary Game Theory and Social Learning Can Determine How Vaccine Scares Unfold," PLOS Computational Biology, Public Library of Science, vol. 8(4), pages 1-12, April.
    3. Wang, Jianwei & He, Jialu & Yu, Fengyuan & Guo, Yuxin & Li, Meiyu & Chen, Wei, 2020. "Realistic decision-making process with memory and adaptability in evolutionary vaccination game," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
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