摘要
提出一类含有分布时滞和隔离的传染病模型,利用构造李亚普诺夫泛函的方法,得到无病平衡点和地方平衡点全局渐近稳定性的结论,并讨论了永久免疫时,系统无病平衡点的指数稳定性.
In this paper,A SIORS epidemic model with qurantine and distribution delay is studied.By means of constructing Liapunov functions,some sufficient conditions of global stability to endemic equilibrium and disease-free equilibrium have been obtained.And this paper also discusses the exponential stability of the disease-free equilibrium when the model with perment immunity.
出处
《生物数学学报》
2014年第2期354-360,共7页
Journal of Biomathematics
关键词
传染病模型
分布时滞
平衡点
稳定性
指数稳定
Epidemic model
Distribution delay
Equilibrium
Stability
Exponential stability
