Emergence of Hopf bifurcation in an extended SIR dynamic

Arash Roostaei, Hadi Barzegar and Fakhteh Ghanbarnejad

PLOS ONE, 2022, vol. 17, issue 10, 1-19

Abstract: In this paper, the original SIR model is improved by considering a new compartment, representing the hospitalization of critical cases. A system of differential equations with four blocks is developed to analyze the treatment of severe cases in an Intensive Care Unit (ICU). The outgoing rate of the infected individuals who survive is divided into nI and b I I + b where the second term represents the transition rate of critical cases that are hospitalized in ICU. The findings demonstrate the existence of forward, backward and Hopf bifurcations in various ranges of parameters.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0276969

DOI: 10.1371/journal.pone.0276969

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