具有标准发生率和因病死亡率的离散SIS传染病模型的全局稳定性分析

Global Stability of Discrete-Time SIS Epidemic Model with Standard Incidence and Disease-Induced Mortality

主要研究了具有标准发生率和因病死亡率的离散SIS传染病模型的动力学性质,利用构造Lyapunov函数,得到模型无病平衡点和地方性平衡点的全局稳定性,即无病平衡点是全局渐近稳定的当且仅当基本再生数R_0≤1,地方病平衡点是全局渐近稳定的当且仅当R_0>1.

In this paper, we study the discrete-time SIS epidemic model with standard inci- dence and disease-induced mortality. Global stability of disease-free equilibrium and endemic equilibrium for this model are established by constructing suitable Lyapunov functions. That is, the disease-free equilibrium is globally asymptotically stable if and only if the basic repro- duction number R0 ≤ 1, and the endemic equilibrium is globally asymptotically stable if and only if the basic reproduction number R0 〉 1.