Emergence of Hopf bifurcation in an extended SIR dynamic

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...

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Autores principales: Roostaei, Arash, Barzegar, Hadi, Ghanbarnejad, Fakhteh
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9621462/
https://www.ncbi.nlm.nih.gov/pubmed/36315479
http://dx.doi.org/10.1371/journal.pone.0276969
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author Roostaei, Arash
Barzegar, Hadi
Ghanbarnejad, Fakhteh
author_facet Roostaei, Arash
Barzegar, Hadi
Ghanbarnejad, Fakhteh
author_sort Roostaei, Arash
collection PubMed
description 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 [Image: see text] 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.
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spelling pubmed-96214622022-11-01 Emergence of Hopf bifurcation in an extended SIR dynamic Roostaei, Arash Barzegar, Hadi Ghanbarnejad, Fakhteh PLoS One Research Article 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 [Image: see text] 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. Public Library of Science 2022-10-31 /pmc/articles/PMC9621462/ /pubmed/36315479 http://dx.doi.org/10.1371/journal.pone.0276969 Text en © 2022 Roostaei et al https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Roostaei, Arash
Barzegar, Hadi
Ghanbarnejad, Fakhteh
Emergence of Hopf bifurcation in an extended SIR dynamic
title Emergence of Hopf bifurcation in an extended SIR dynamic
title_full Emergence of Hopf bifurcation in an extended SIR dynamic
title_fullStr Emergence of Hopf bifurcation in an extended SIR dynamic
title_full_unstemmed Emergence of Hopf bifurcation in an extended SIR dynamic
title_short Emergence of Hopf bifurcation in an extended SIR dynamic
title_sort emergence of hopf bifurcation in an extended sir dynamic
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9621462/
https://www.ncbi.nlm.nih.gov/pubmed/36315479
http://dx.doi.org/10.1371/journal.pone.0276969
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AT ghanbarnejadfakhteh emergenceofhopfbifurcationinanextendedsirdynamic

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