A Simple SIRS Epidemic Model with Multiple Endemic Equilibria and Hopf Bifurcation

被引：0

作者：

Li, Jianquan ^{[1
]}

Yang, Yali ^{[1
]}

Yan, Long ^{[1
]}

机构：

[1] Air Force Engn Univ, Dept Appl Math & Phys, Xian 710051, Peoples R China

来源：

PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS | 2008年

关键词：

epidemic model; nonlinear incidence; Hopf bifurcation; periodic solution;

D O I：

暂无

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A simple SIRS epidemic model with nonlinear incidence is studied. The basic reproductive number is defined and the threshold of existence of multiple endemic equilibria is determined. It is found that Hopf bifurcation may happen for this model. The stable or unstable periodic solution is shown by numerical simulation.

引用

页码：248 / 251

页数：4

共 7 条

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