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Modeling and investigating the dilemma of early and delayed vaccination driven by the dynamics of imitation and aspiration

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  • Kulsum, Umma
  • Alam, Muntasir
  • Kamrujjaman, Md.

Abstract

This study aims to evaluate mankind’s vaccination behavior for two alternative vaccines through the incorporation of imitation and aspiration dynamics in an existing setup of the mean-field approximation. Individuals may be immunized in advance of an outbreak to prevent infection. However, due to the immunization’s imperfections, expense, or people’s reluctance to get immunized, a number of individuals might opt to be immunized later. Our model can simulate two scenarios of social conundrums, one caused by early vaccination and operating on a global time scale. The other is driven by delayed vaccination and working on a local time scale. The epidemic scenario gets worse as the strategy updating interval gets longer. This work provides a comparative analysis between the dynamics of imitation and aspiration. We integrate the imitation dynamics with various cost and efficacy variations of these vaccines. Then, we demonstrate the impact of symmetric and asymmetric level of expectations for both vaccines on aspiration dynamics. The symmetric expectations for both vaccines continue to have a negative relationship with their cost and a positive association with the efficacy of the vaccines. If one of the vaccines is more expensive, the consumer may opt for another. However, fewer aspiration for the early vaccine can improve the total vaccine coverage and hence help to limit epidemic disease in the case of an asymmetric degree of aspiration for the early-delayed vaccination model.

Suggested Citation

  • Kulsum, Umma & Alam, Muntasir & Kamrujjaman, Md., 2024. "Modeling and investigating the dilemma of early and delayed vaccination driven by the dynamics of imitation and aspiration," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    • Handle: RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012663
    DOI: 10.1016/j.chaos.2023.114364
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    1. Lei Shi & Ivan Romić & Yongjuan Ma & Zhen Wang & Boris Podobnik & H. Eugene Stanley & Petter Holme & Marko Jusup, 2020. "Freedom of choice adds value to public goods," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 117(30), pages 17516-17521, July.
    2. 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.
    3. 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.
    4. Kabir, K.M. Ariful, 2021. "How evolutionary game could solve the human vaccine dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    5. Kabir, K.M. Ariful & Tanimoto, Jun, 2019. "Dynamical behaviors for vaccination can suppress infectious disease – A game theoretical approach," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 229-239.
    6. Iwamura, Yoshiro & Tanimoto, Jun, 2018. "Realistic decision-making processes in a vaccination game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 236-241.
    7. Yin, Lu & Lu, YiKang & Du, ChunPeng & Shi, Lei, 2022. "Effect of vaccine efficacy on disease transmission with age-structured," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    8. Alam, Muntasir & Kuga, Kazuki & Tanimoto, Jun, 2019. "Three-strategy and four-strategy model of vaccination game introducing an intermediate protecting measure," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 408-422.
    9. Lu, Yikang & Geng, Yini & Gan, Wen & Shi, Lei, 2019. "Impacts of conformist on vaccination campaign in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    10. Kabir, K.M. Ariful & Kuga, Kazuki & Tanimoto, Jun, 2019. "Effect of information spreading to suppress the disease contagion on the epidemic vaccination game," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 180-187.
    11. Fukuda, Eriko & Kokubo, Satoshi & Tanimoto, Jun & Wang, Zhen & Hagishima, Aya & Ikegaya, Naoki, 2014. "Risk assessment for infectious disease and its impact on voluntary vaccination behavior in social networks," Chaos, Solitons & Fractals, Elsevier, vol. 68(C), pages 1-9.
    12. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
    13. Du, Chunpeng & Guo, Keyu & Lu, Yikang & Jin, Haoyu & Shi, Lei, 2023. "Aspiration driven exit-option resolves social dilemmas in the network," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    14. Hammerstein, Peter & Selten, Reinhard, 1994. "Game theory and evolutionary biology," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 28, pages 929-993, Elsevier.
    15. Bin Wu & Lei Zhou, 2018. "Individualised aspiration dynamics: Calculation by proofs," PLOS Computational Biology, Public Library of Science, vol. 14(9), pages 1-15, September.
    16. Alam, Muntasir & Tanaka, Masaki & Tanimoto, Jun, 2019. "A game theoretic approach to discuss the positive secondary effect of vaccination scheme in an infinite and well-mixed population," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 201-213.
    17. Kabir, K.M. Ariful & Tanimoto, Jun, 2019. "Evolutionary vaccination game approach in metapopulation migration model with information spreading on different graphs," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 41-55.
    18. Nagashima, Keisuke & Tanimoto, Jun, 2019. "A stochastic Pairwise Fermi rule modified by utilizing the average in payoff differences of neighbors leads to increased network reciprocity in spatial prisoner's dilemma games," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 661-669.
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