文章基本信息

标题：Global Hopf bifurcation analysis of an susceptible-infective-removed epidemic model incorporating media coverage with time delay
本地全文：下载
作者：Huitao Zhao ; Miaochan Zhao
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2017
卷号：11
期号：1
页码：8-24
DOI：10.1080/17513758.2016.1229050
出版社：Taylor & Francis
摘要：An susceptible-infective-removed epidemic model incorporating media coverage with time delay is proposed. The stability of the disease-free equilibrium and endemic equilibrium is studied. And then, the conditions which guarantee the existence of local Hopf bifurcation are given. Furthermore, we show that the local Hopf bifurcation implies the global Hopf bifurcation after the second critical value of delay. The obtained results show that the time delay in media coverage can not affect the stability of the disease-free equilibrium when the basic reproduction number is less than unity. However, the time delay affects the stability of the endemic equilibrium and produces limit cycle oscillations while the basic reproduction number is greater than unity. Finally, some examples for numerical simulations are included to support the theoretical prediction.
关键词：SIR epidemic model ; media coverage ; stability ; global Hopf bifurcation