一类带有非线性感染率传染病模型的动力学性质(英文)

Dynamic Property of An Epidemic Model with Nonlinear Incidence Rate

主要介绍了一类带有非线性感染率的传染病模型.并且证明了当基本再生数Ro≤1时,无病平衡点是全局稳定的,当基本再生数R_0>1时,疾病持续.

An epidemic model with nonlinear incidence rate was introduced in this paper.We prove that the disease is eradicated when the basic reproduction number R_0≤1,and the disease-free equilibrium is globally asymptotically stable and in such a case the endemic equilibrium does not exist.Moreover,we show that the disease is uniformly permanent when the basic reproduction number R_0 1.