Global analysis of an epidemic model with nonmonotone incidence rate

In this paper we study an epidemic model with nonmonotonic incidence rate, which describes the psychological effect of certain serious diseases on the community when the number of infectives is getting larger. By carrying out a global analysis of the model and studying the stability of the disease-f...

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Detalles Bibliográficos
Autores principales: Xiao, Dongmei, Ruan, Shigui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Published by Elsevier B.V. 2007
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7094627/
https://www.ncbi.nlm.nih.gov/pubmed/17303186
http://dx.doi.org/10.1016/j.mbs.2006.09.025
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author Xiao, Dongmei
Ruan, Shigui
author_facet Xiao, Dongmei
Ruan, Shigui
author_sort Xiao, Dongmei
collection PubMed
description In this paper we study an epidemic model with nonmonotonic incidence rate, which describes the psychological effect of certain serious diseases on the community when the number of infectives is getting larger. By carrying out a global analysis of the model and studying the stability of the disease-free equilibrium and the endemic equilibrium, we show that either the number of infective individuals tends to zero as time evolves or the disease persists.
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spelling pubmed-70946272020-03-25 Global analysis of an epidemic model with nonmonotone incidence rate Xiao, Dongmei Ruan, Shigui Math Biosci Article In this paper we study an epidemic model with nonmonotonic incidence rate, which describes the psychological effect of certain serious diseases on the community when the number of infectives is getting larger. By carrying out a global analysis of the model and studying the stability of the disease-free equilibrium and the endemic equilibrium, we show that either the number of infective individuals tends to zero as time evolves or the disease persists. Published by Elsevier B.V. 2007-08 2006-12-12 /pmc/articles/PMC7094627/ /pubmed/17303186 http://dx.doi.org/10.1016/j.mbs.2006.09.025 Text en Copyright © 2007 Published by Elsevier B.V. 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
Xiao, Dongmei
Ruan, Shigui
Global analysis of an epidemic model with nonmonotone incidence rate
title Global analysis of an epidemic model with nonmonotone incidence rate
title_full Global analysis of an epidemic model with nonmonotone incidence rate
title_fullStr Global analysis of an epidemic model with nonmonotone incidence rate
title_full_unstemmed Global analysis of an epidemic model with nonmonotone incidence rate
title_short Global analysis of an epidemic model with nonmonotone incidence rate
title_sort global analysis of an epidemic model with nonmonotone incidence rate
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7094627/
https://www.ncbi.nlm.nih.gov/pubmed/17303186
http://dx.doi.org/10.1016/j.mbs.2006.09.025
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