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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.

Suggested Citation

  • 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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    References listed on IDEAS

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    Cited by:

    1. Wang, Jingrui & Li, Juan & Wang, Zhen, 2025. "Impact of infectious sources on the vaccination dilemma in networked population," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).
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    4. Amaral, Marco A. & Oliveira, Marcelo M. de & Javarone, Marco A., 2021. "An epidemiological model with voluntary quarantine strategies governed by evolutionary game dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
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    7. Meng, Xueyu & Han, Sijie & Wu, Leilei & Si, Shubin & Cai, Zhiqiang, 2022. "Analysis of epidemic vaccination strategies by node importance and evolutionary game on complex networks," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    8. Zuo, Chao & Ling, Yuting & Zhu, Fenping & Ma, Xinyu & Xiang, Guochun, 2023. "Exploring epidemic voluntary vaccinating behavior based on information-driven decisions and benefit-cost analysis," Applied Mathematics and Computation, Elsevier, vol. 447(C).
    9. Wang, Jun & Cai, Shimin & Wang, Wei & Zhou, Tao, 2023. "Link cooperation effect of cooperative epidemics on complex networks," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    10. Meng, Xueyu & Lin, Jianhong & Fan, Yufei & Gao, Fujuan & Fenoaltea, Enrico Maria & Cai, Zhiqiang & Si, Shubin, 2023. "Coupled disease-vaccination behavior dynamic analysis and its application in COVID-19 pandemic," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    11. Wang, Chaoqian & Pan, Qiuhui & Ju, Xinxiang & He, Mingfeng, 2021. "Public goods game with the interdependence of different cooperative strategies," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    12. Huo, Liang’an & Zhang, Panpan & Gu, Jiafeng, 2025. "The effect of economic and environmental pressure factors on individuals' vaccination strategies in multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 675(C).
    13. Etherton, Berea A. & Choudhury, R.A. & Alcalá-Briseño, R.I. & Xing, Y. & Plex Sulá, A.I. & Carrillo, D. & Wasielewski, J. & Stelinski, L.L. & Grogan, K.A. & Ballen, F. & Blare, T. & Crane, J. & Garret, 2023. "Are avocados toast? A framework to analyze decision-making for emerging epidemics, applied to laurel wilt," Agricultural Systems, Elsevier, vol. 206(C).
    14. 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).
    15. Kumar, Viney & Bhattacharyya, Samit, 2023. "Nonlinear effect of sentiments and opinion sharing on vaccination decision in face of an outbreak: A multiplex network approach," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    16. He, Jialu & Lan, Xue & Zheng, Yupeng & Zhang, Han & Liu, Chunhe, 2025. "The impact of preference selection based on influence in spatial evolutionary vaccination game," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    17. Chaoqian Wang & Hamdi Kavak, 2022. "A General Epidemic Model and Its Application to Mask Design Considering Different Preferences towards Masks," Complexity, John Wiley & Sons, vol. 2022(1).
    18. Wang, Chaoqian & Lin, Zongzhe & Rothman, Dale S., 2022. "Public goods game on coevolving networks driven by the similarity and difference of payoff," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    19. Gamboa, M. & López-García, M. & Lopez-Herrero, M.J., 2024. "On the exact and population bi-dimensional reproduction numbers in a stochastic SVIR model with imperfect vaccine," Applied Mathematics and Computation, Elsevier, vol. 468(C).
    20. Li, Ling & Dong, Gaogao & Zhu, Huaiping & Tian, Lixin, 2024. "Impact of multiple doses of vaccination on epidemiological spread in multiple networks," Applied Mathematics and Computation, Elsevier, vol. 472(C).
    21. Wu, Bingjie & Huo, Liang’an, 2025. "Studying the impact of individual emotional states on the co-evolution of information, behavior and disease in multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 665(C).
    22. Peng, Hao & Peng, Wangxin & Zhao, Dandan & Wang, Wei, 2020. "Impact of the heterogeneity of adoption thresholds on behavior spreading in complex networks," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    23. 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).
    24. Zhang, Rongping & Liu, Maoxing & Xie, Boli, 2022. "The analysis of discrete-time epidemic model on networks with protective measures on game theory," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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