Global stability of a generalized epidemic model

被引：3
|
作者：
Iwami, Shingo [1 ]
Hara, Tadayuki [2 ]
机构：
[1] Shizuoka Univ, Grad Sch Sci & Technol, Shizuoka 4228529, Japan
[2] Osaka Prefecture Univ, Dept Math Sci, Osaka, Japan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 362卷 / 02期
基金：
日本学术振兴会;
关键词：
SIRS model; Competitive exclusion; Globally asymptotically stable; Average Lyapunov function theorem; COMPETITIVE-EXCLUSION; PATHOGEN STRAINS; COEXISTENCE; PERMANENCE; SIR;
D O I：
10.1016/j.jmaa.2009.07.059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The competitive exclusion principle is one of the most interesting and important phenomena in both theoretical epidemiology and biology. We show that the equilibrium in which only the strain with the maximum basic reproductive number exists is globally asymptotically stable by using an average Lyapunov function theorem and some dynamical system theory. This result is anticipated by H.J. Bremermann and H.R. Thieme (1989) [6] where they showed that the equilibrium is locally stable - the global result has not been established previously. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：286 / 300
页数：15
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