一类具有时滞的传染病模型Hopf分支及稳定性分析

Hopf Bifurcation and Stability Analysis of Epidemic Model with Time Delay

研究了一类具有非线性传染率的传染病模型,确定了模型的基本再生数R0,分析了模型无病平衡点和地方病平衡点的稳定性,以时滞为参数,得到了在地方病平衡点处Hopf分支存在的条件、最后数值模拟以验证结果。

It studied an epidemic model with nonlinear infection rate was,determined the basic reproductive number of regenerations for the model,and analyzed the stability of the model disease-free balance point and the local disease balance point.The conditions for Hopf bifurcation at the local disease balance point are obtained on the parameter of time delay,numerical simulation to verify the results.