Global stability of an sirs epidemic model with delays

被引：85

作者：

Zhen, J ^{[1
]}

Ma, Z

Han, M

机构：

[1] N Univ China, Dept Math, Taiyuan 030051, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[3] Shanghai Jiao Tong Univ, Dept Appl Math, Shanghai 200030, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2006年 / 26卷 / 02期

关键词：

SIRS epidemic model; time delay; global asymptotic stability; lyapunov functional;

D O I：

10.1016/S0252-9602(06)60051-9

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

In this article, an SIRS epidemic model spread by vectors (mosquitoes) which have an incubation time to become infectious is formulated. It is shown that a disease-free equilibrium point is globally stable if no endemic equilibrium point exists. Further, the endemic equilibrium point (if it exists) is globally stable with a respect "weak delay". Some known results are generalized.

引用

页码：291 / 306

页数：16

共 11 条

[1]

Global asymptotic stability of an SIR epidemic model with distributed time delay [J].