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Vaccination behavior by coupling the epidemic spreading with the human decision under the game theory

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  • Wang, Xinyu
  • Jia, Danyang
  • Gao, Shupeng
  • Xia, Chengyi
  • Li, Xuelong
  • Wang, Zhen

Abstract

When confronting the epidemics or pandemics, there often exists an interplay between epidemic incidence and the vaccination strategies of individuals. Recently, the characteristics of human behaviors, such as imitating nature or bandwagon effect, have been proven critical to the final herd immunity. In this paper, by establishing a two-layered multiplex network model which combines SIR epidemic process, vaccination decision-making and imitating human nature, we discover that imitating behavior would restrain the increase of herd immunity, which is verified by Monte Carlo simulations and mean-field equations, respectively. Interestingly, a suitable quantity of conformity motivated individual, counter-intuitively, could be beneficial to save the social costs. At the same time, we analytically determine the precise conditions for the minimum total social costs. The current results can help to understand the behavior of social group in depth and then explore public attitudes concerning the vaccine, which usually has a tremendous impact on social vaccine take-up within the population.

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  • Wang, Xinyu & Jia, Danyang & Gao, Shupeng & Xia, Chengyi & Li, Xuelong & Wang, Zhen, 2020. "Vaccination behavior by coupling the epidemic spreading with the human decision under the game theory," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    • Handle: RePEc:eee:apmaco:v:380:y:2020:i:c:s0096300320302010
    DOI: 10.1016/j.amc.2020.125232
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    1. Xia, Cheng-yi & Wang, Zhen & Sanz, Joaquin & Meloni, Sandro & Moreno, Yamir, 2013. "Effects of delayed recovery and nonuniform transmission on the spreading of diseases in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(7), pages 1577-1585.
    2. López-Pintado, Dunia, 2008. "Diffusion in complex social networks," Games and Economic Behavior, Elsevier, vol. 62(2), pages 573-590, March.
    3. Nicola Perra & Duygu Balcan & Bruno Gonçalves & Alessandro Vespignani, 2011. "Towards a Characterization of Behavior-Disease Models," PLOS ONE, Public Library of Science, vol. 6(8), pages 1-15, August.
    4. Alison P. Galvani & Robert M. May, 2005. "Dimensions of superspreading," Nature, Nature, vol. 438(7066), pages 293-295, November.
    5. Zhu, Peican & Wang, Xinyu & Li, Shudong & Guo, Yangming & Wang, Zhen, 2019. "Investigation of epidemic spreading process on multiplex networks by incorporating fatal properties," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 512-524.
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    13. Wang, Jingrui & Zhang, Huizhen & Jin, Xing & Ma, Leyu & Chen, Yueren & Wang, Chao & Zhao, Jian & An, Tianbo, 2023. "Subsidy policy with punishment mechanism can promote voluntary vaccination behaviors in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    14. Wu, Bingjie & Huo, Liang'an, 2024. "The influence of different government policies on the co-evolution of information dissemination, vaccination behavior and disease transmission in multilayer networks," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
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