Global Stability of a Class of the Combination of SEIR and SEIS Epidemic Model with Saturating Contact Rate

被引：0

作者：

Shen, Suhui ^{[1
]}

Yuan, Sanling ^{[1
]}

Li, Pan ^{[1
]}

机构：

[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, 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; equilibrium; saturating contact rate; global stability; compound matrices;

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：

A class of the combination of SEIR and SETS epidemic model with saturating contact rate is studied. A basic reproductive number R-0 which determines the outcome of the disease is given and the existences of the equilibrium are discussed. If R-0 <= 1, the disease-free equilibrium is globally stable and the disease dies out. If R-0 > 1, the endemic equilibrium is globally stable when there's no disease-caused person.

引用

页码：546 / 551

页数：6