一类具有接种和饱和发生率的SIR-SVS传染病模型的全局稳定性

摘要

研究一类具有接种和饱和发生率的SIR-SVS传染病模型.通过构造适当的Lyapunov函数证明了当基本再生数＜1时,无病平衡点是全局渐近稳定的；当基本再生数＞1时,给出了地方病平衡点全局渐近稳定的充分条件.%In this paper,an epidemic model with vaccination and saturation incidence is studied. By constructing appropriate Lyapunov functions,it is shown that the disease-free equilibrium is globally asymptotically stable when the basic reproduction number is less than unity. When the basic reproduction number is greater than unity,sufficient conditions are derived for the global stability of the endemic equilibrium.