Stability Analysis of a Delayed SIR Epidemic Model with Stage Structure and Nonlinear Incidence

被引：4

作者：

Tian, Xiaohong ^{[1
]}

Xu, Rui ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, Shijiazhuang 050003, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2009年 / 2009卷

基金：

中国国家自然科学基金;

关键词：

GLOBAL ASYMPTOTIC STABILITY; PREDATOR-PREY MODEL; DYNAMICAL BEHAVIOR; TIME-DELAY; PERMANENCE; DISEASE; SYSTEM;

D O I：

10.1155/2009/979217

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the stability of an SIR epidemic model with stage structure and time delay. By analyzing the eigenvalues of the corresponding characteristic equation, the local stability of each feasible equilibrium of the model is established. By using comparison arguments, it is proved when the basic reproduction number is less than unity, the disease free equilibrium is globally asymptotically stable. When the basic reproduction number is greater than unity, sufficient conditions are derived for the global stability of an endemic equilibrium of the model. Numerical simulations are carried out to illustrate the theoretical results. Copyright (C) 2009 X. Tian and R. Xu.

引用

页数：17

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