一类具有Logistic增长和病程的SIR模型

A Class SIR Epidemic Model with Logistic Growth and Infection Age

研究具有Logistic增长和病程的SIR流行病模型.运用微分、积分方程理论,得到再生数R0<1时,无病平衡点E0是全局渐近稳定的;而当R0>1时,地方病平衡点E*是局部渐近稳定的.

It is diseussed a SIR epidemic model with Logistic growth and infection age. The disease-free equilibrium E0 is globally asymptotically stable if R0 〈 1, and also the endemic equilibrium E^＊ is locally asymptotically stable if R0 〉 1, by using the theory of differential and integral equation.