具有时滞与Beddington-DeAngelis发生率的多易感种群的传染病模型研究

Study on Differential Susceptibility Epidemic Models with Delays and Beddington-DeAngelis Incidence Rate

主要研究一类具有时滞与Beddington-DeAngelis发生率的多易感群体的传染病模型,得到基本再生数■.通过构造Lyapunov泛函和LaSalle不变原理对系统的稳定性进行了研究,得到了平衡点的全局渐近稳定条件.进行系统的数值仿真分析对结果验证.

This paper investigates a class of differential susceptibility epidemic model with delays and Beddington-DeAngelis incidence rate and,the basic reproduction number ■0 is given.By constructing Lyapunov functional and using the LaSalle invariable principle,some sufficient conditions ensuring the stability of the system are obtained.Also we give a systematic analysis of numerical simulation for the model.