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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:
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
Descripción
Sumario: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.