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Evolutionary game dynamics and the phase portrait diversity in a pandemic scenario

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  • Mendonça, J.P.
  • Brum, Arthur A.
  • Lyra, M.L.
  • Lira, Sérgio A.

Abstract

Modeling the time evolution of a pandemic in distinct social and economic environments has proven to be a great challenge for scientists due to the strong coupling of infection dynamics to complex collective human behavior. In this work, we propose a relatively simple extension of the classical Susceptible-Infected-Recovered (SIR) model that encompasses evolutionary game imitation dynamics and is capable of reproducing basic features of real data such as recurrent waves with suppression and re-bounce of cases. In particular, we depict different quantitative and qualitative aspects of the infection time series by representing them as trajectories in a modified phase portrait.

Suggested Citation

  • Mendonça, J.P. & Brum, Arthur A. & Lyra, M.L. & Lira, Sérgio A., 2024. "Evolutionary game dynamics and the phase portrait diversity in a pandemic scenario," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    • Handle: RePEc:eee:apmaco:v:475:y:2024:i:c:s0096300324002212
    DOI: 10.1016/j.amc.2024.128749
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    References listed on IDEAS

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    1. Kreps, David M., 1990. "Game Theory and Economic Modelling," OUP Catalogue, Oxford University Press, number 9780198283812.
    2. Timothy C Reluga, 2010. "Game Theory of Social Distancing in Response to an Epidemic," PLOS Computational Biology, Public Library of Science, vol. 6(5), pages 1-9, May.
    3. 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).
    4. Wang, Zhishuang & Guo, Quantong & Sun, Shiwen & Xia, Chengyi, 2019. "The impact of awareness diffusion on SIR-like epidemics in multiplex networks," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 134-147.
    5. 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.
    6. Gabriel G Katul & Assaad Mrad & Sara Bonetti & Gabriele Manoli & Anthony J Parolari, 2020. "Global convergence of COVID-19 basic reproduction number and estimation from early-time SIR dynamics," PLOS ONE, Public Library of Science, vol. 15(9), pages 1-22, September.
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