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Emergence of Hopf bifurcation in an extended SIR dynamic

Roostaei, A ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1371/journal.pone.0276969
  3. Publisher: Public Library of Science , 2022
  4. Abstract:
  5. 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 bI/1+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. © 2022 Roostaei et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited
  6. Keywords:
  7. Adult ; Hospitalization ; Human ; Intensive care unit ; Susceptible infected recovered model
  8. Source: PLoS ONE ; Volume 17, Issue 10 October , 2022 ; 19326203 (ISSN)
  9. URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0276969