一类具有时滞和接种疫苗年龄的SIS模型

A Class SIS Epidemic Model with Delay and Vaccinated Age

研究具有时滞和接种疫苗年龄的SIS流行病模型.运用微分、积分方程理论,得到再生数R(ψ)<1,且γτ<eμτ时,无病平衡点E0是全局渐近稳定的;而当R(ψ)>1时,地方病平衡点E*的存在性.

It is discussed a SIS epidemic model with delay and vaccinated age. The disease-free equilibrium E0 is locally asymptotically stable if R（ψ） 〈 1, and γτ〈e^μτ, With the Lyapunov method, the disease-free equlibrium is globally asymptotically stable. There is the endemic equilibrium E^＊ if R（ψ） 〉 1, with the theory of differential and integral equation.