The stability of an SIR epidemic model with time delays

被引：0
|
作者：
Jin, Z [1 ]
Ma, Z
机构：
[1] N Univ China, Dept Math, Taiyuan 030051, Peoples R China
[2] Xian Jiaotong Univ, Dept Appl Math, Xian 710049, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2006年 / 3卷 / 01期
关键词：
SIR epidemic model; time delay; global asymptotic stability; Lyapunov functional;
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：
In this paper, an SIR epidemic model for the spread of an infectious disease transmitted by direct contact among humans and 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 respect to a "weak delay". Some known results are generalized.
引用
收藏
页码：101 / 109
页数：9
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