北华大学学报（自然科学版）2017，Vol.18Issue(1)：6-12,7.DOI:10.11713/j.issn.1009-4822.2017.01.002
具有标准发生率和因病死亡率的离散SIRS传染病模型的全局稳定性
Global Stability of a Discrete SIRS Epidemic Model with Standard Incidence and Disease-induced Mortality
摘要
Abstract
We study a discrete SIRS epidemic model with standard incidence and disease-induced mortality. By using the method of discrete Lyapunov function,the globally asymptotical stability of disease-free equilibrium and endemic equilibrium for the model is established. Particularly,when disease-induced death rate equals to zero,it is shown that the endemic equilibrium is globally asymptotically stable if and only if the basic reproduction number is greater than one.关键词
离散SIRS传染病模型/标准发生率/基本再生数/全局稳定性/Lyapunov函数Key words
discrete SIRS epidemic model/standard incidence/basic reproduction number/global stability/Lyapunov function分类
数理科学引用本文复制引用
王蕾,王凯..具有标准发生率和因病死亡率的离散SIRS传染病模型的全局稳定性[J].北华大学学报（自然科学版）,2017,18(1):6-12,7.基金项目
新疆维吾尔自治区自然科学基金项目(2014211C014) （2014211C014）
