具有非线性发生率的多易感群体的传染病模型研究

Study on Epidemic Models with Nonlinear Incidence Rate and Differential Susceptibility

本文主要研究一类具有Beddington-DeAngelis发生率的多易感群体的传染病模型.首先得到基本再生数R_0,然后通过构造Lyapunov泛函和LaSalle不变原理得到了平衡点的全局渐近稳定条件.

This paper investigates a class of epidemic model with Beddington-DeAngelis incidence rate and differential susceptibility. The basic reproduction number R0 is first given, after which some sufficient conditions ensuring the stability of the system are obtained by constructing Lyapunov functional and using the LaSalle invaria-ble principle.