GLOBAL STABILITY AND HOPF BIFURCATION OF AN SIS EPIDEMIC MODEL WITH TIME DELAYS

被引：5
|
作者：
YUAN Sanling MA Zhien (Department of Applied Mathematics
机构：
来源：
Journal of Systems Science & Complexity | 2001年 / 03期
基金：
中国国家自然科学基金;
关键词：
Time delay; Liapunov functional; equilibria; global stability; bifurcation;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
An SIS epidemic model with a discrete delay has been investigated in this article. By means of Liapunov functional, some sufficient conditions of global stability to endemic equilibrium and disease free equilibrium have been obtained. The influence of time delay on the stability of equilibria is displayed. The switch of stability and the Hopf bifurcation from the endemic equilibrium have been discussed.
引用
收藏
页码：327 / 336
页数：10
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