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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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