具有无症状感染和饱和发生率的SEIARV模型
A SEIARV Model with Asymptomatic Infection and Saturation Rates
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摘要: 研究了一类具有无症状感染和饱和发生率的SEIARV模型,定义了模型的基本再生数,得到了系统平衡点的存在性及局部稳定性。通过构造Lyapunov函数,证明了当基本再生数R0 < 1时,无病平衡点是全局渐近稳定的;当R0>1时,地方病平衡点是全局渐近稳定的。Abstract: A SEIARV model with asymptomatic infection and saturation incidence rate is studied. The basic reproduction number is defined, and the existence and local stability of equilibrium are obtained. By constructing Lyapunov function, it is proved that the disease-free equilibrium is globally asymptotically stable when the basic reproduction number R0 < 1. When R0>1, the endemic equilibrium is globally asymptotically stable.