一类带有脉冲接种的类年龄结构SEIR流行病模型

A Kind of SEIR Epidemic Model with Impulsive Vaccinationand Class Age-Structure

建立了一类新的带有脉冲接种的类年龄结构SEIR流行病模型,并考虑其具有非线性传染率.该模型既含有常微分方程,又含有偏微分方程.证明了当传染病再生数小于1时,无病周期解是全局吸引的.

In this paper, we establish a kind of new class age-structure SEIR epidemic model with impulsive vaccination and nonlinear infectivity, which contains ODEs and PDEs at the same time. We demonstrate that the disease-free periodic solution is a global attraction if the reproductive number of infective is less than one.