Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action

In this paper, we study the bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action, which describes the psychological effects of the community on certain serious diseases when the number of infective is getting larger. By carrying out the bifurcation analysis of...

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Detalles Bibliográficos
Autores principales: Zhou, Yugui, Xiao, Dongmei, Li, Yilong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2007
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7127769/
https://www.ncbi.nlm.nih.gov/pubmed/32288358
http://dx.doi.org/10.1016/j.chaos.2006.01.002
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author Zhou, Yugui
Xiao, Dongmei
Li, Yilong
author_facet Zhou, Yugui
Xiao, Dongmei
Li, Yilong
author_sort Zhou, Yugui
collection PubMed
description In this paper, we study the bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action, which describes the psychological effects of the community on certain serious diseases when the number of infective is getting larger. By carrying out the bifurcation analysis of the model, we show that there exist some values of the model parameters such that numerous kinds of bifurcation occur for the model, such as Hopf bifurcation, Bogdanov–Takens bifurcation.
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spelling pubmed-71277692020-04-08 Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action Zhou, Yugui Xiao, Dongmei Li, Yilong Chaos Solitons Fractals Article In this paper, we study the bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action, which describes the psychological effects of the community on certain serious diseases when the number of infective is getting larger. By carrying out the bifurcation analysis of the model, we show that there exist some values of the model parameters such that numerous kinds of bifurcation occur for the model, such as Hopf bifurcation, Bogdanov–Takens bifurcation. Elsevier Ltd. 2007-06 2006-02-21 /pmc/articles/PMC7127769/ /pubmed/32288358 http://dx.doi.org/10.1016/j.chaos.2006.01.002 Text en Copyright © 2006 Elsevier Ltd. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Zhou, Yugui
Xiao, Dongmei
Li, Yilong
Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action
title Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action
title_full Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action
title_fullStr Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action
title_full_unstemmed Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action
title_short Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action
title_sort bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7127769/
https://www.ncbi.nlm.nih.gov/pubmed/32288358
http://dx.doi.org/10.1016/j.chaos.2006.01.002
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AT xiaodongmei bifurcationsofanepidemicmodelwithnonmonotonicincidencerateofsaturatedmassaction
AT liyilong bifurcationsofanepidemicmodelwithnonmonotonicincidencerateofsaturatedmassaction

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