具有急慢性阶段SEIVR流行病模型的全局稳定性分析

Global Analysis of an SEIVR Epidemic Model with Acute and Chronic Stages

摘要: 研究了具有急慢性阶段SEIVR流行病模型.首先,给出了基本再生数R0,证明了:当R01时,无病平衡点P0是全局稳定的;否则,P0不稳定.其次,当R01时,利用LaSalle不变原理证明了唯一地方病平衡点P*的全局稳定性

Abstract: An SEIVR epidemic model with acute and chronic stages was discussed. Firstly, the reproductive numberR₀was given and it was proved that the disease-free equilibrium R₀is globally stable if R₀＜1，otherwise,P₀ is unstable. Secondly, by using LaSalle invariable principle, it was proved that the unique endemic equilibrium P*is globally stable if R₀＞1. 