Global Stability for an SEIR Epidemic Model with Vaccination

被引：0
|
作者：
Yang, Yali [1 ]
Li, Jianquan [1 ]
Qin, Yan
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; basic reproduction number; vaccination; 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：
An SEIR epidemic model with vaccination and the disease-related death is considered. The basic reproduction number is found to be a sharp threshold which completely determines the global dynamics and the outcome of the disease. Global stability of the disease-free equilibrium is proved by using the limit system theorem and constructing Lyapunov function. Global stability of the endemic equilibrium is proved by constructing Lyapunov function and using analysis skill.
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收藏
页码：691 / 694
页数：4
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