带脉冲免疫和时滞的传染病模型分析

Analysis of an Epidemic Model with Impulsive Vaccination and Delay

研究一类带脉冲免疫和时滞的传染病模型.运用脉冲微分方程和积分方程的理论和方法,得到了系统的无病周期解,并证明了当阈值小于1即R*<1时,系统的无病周期解是全局吸引的.

An epidemic model with impulsive vaccination and delay was described. The explicit formula of the disease-free periodic solution was obtained by using the theory and the method of impulsive differential equation and integral equation. The results demonstrated that the disease-free periodic solution is a global attractor if R＊〈1.