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

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.

关键词： epidemic model nonlinear incidence Hopf bifurcation periodic solution

作者: Jianquan Li Yali Yang Long Yan

作者单位: Department of Applied Mathematics and Physics, Air Force Engineering University, Xian 710051, China

会议类型: 国际会议

会议名称: 中国数学会生物数学分会第六届学术年会

会议地点: 山东泰安

会议语种:英文

页码: 248-251

在线出版日期: 2008-07-25（万方平台首次上网日期，不代表论文的发表时间）