An SIRS epidemic model of two competitive species

被引：18

作者：

Han, LT ^{[1
]}

Ma, Z ^{[1
]}

Shi, T ^{[1
]}

机构：

[1] Xian Jiaotong Univ, Dept Math, Xian 710049, Shaanxi, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2003年 / 37卷 / 1-2期

关键词：

epidemic model; interinfection of disease; global asymptotic stability; uniform persistence;

D O I：

10.1016/S0895-7177(03)80008-0

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An autonomous SIRS epidemic model of two competitive species with interinfection of disease is formulated and analyzed. Some thresholds are identified and global asymptotic stability results of the bounded equilibria are proved. To the interior equilibrium, its local asymptotic stability is obtained. And under suitable conditions, it is proved that the model is uniformly persistent. Moreover, it is discovered that the interinfection of disease is crucial to the dynamical behavior of the system, namely, when the two species coexist and the disease persists in both of them, and if the interinfection is removed, then three different cases may occur. (1) The disease still persists in both species. (2) The disease persists in one species, but dies out in the other species. (3) The disease dies out in both species. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：87 / 108

页数：22

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