GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS

作     者：靳祯 马知恩 韩茂安 

作者机构：Department of Mathematics North University of ChinaTaiyuan 030051China Department of Mathematics Shanghai Normal UniversityShanghai 200234China Department of Applied Mathematics Shanghai Jiaotong UniversityShanghai 200030China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2006年第26卷第2期

页      面：291-306页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work is supported by the National Sciences Foundation of China (10471040)the Youth Science Foundations of Shanxi Province (20021003) 

主　　题：SIRS epidemic model time delay global asymptotic stability lyapunov functional 

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.