The Dynamic of Discrete SIR Epidemic Model with Immunity

被引：0
|
作者：
Cao, Hui [1 ]
Huang, Yingfen [1 ]
机构：
[1] Xi An Jiao Tong Univ, Dept Math, Xian 710049, Peoples R China
来源：
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年
关键词：
basic reproduction number; discrete epidemic model; global stability;
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：
This paper discusses a discrete SIR epidemic model with immunity. The basic reproduction number is established. It is shown that the disease-free equilibrium is globally stable if the basic reproduction number is less than one, and the positive equilibrium exists if the basic reproduction number is more than one. The global stability of the positive equilibrium is obtained in the case where the immunization rate is equal to the removed rate.
引用
收藏
页码：42 / 47
页数：6
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