一类带有种痘年龄的流行病模型(英文)

被引：3

作者：

郭淑利 ^{[1
]}

丁凤霞 ^{[2
]}

机构：

[1] Department of Mathematics,Xinyang Normal University

[2] Department of Mathematics,North China Institute of Water Conservancy and Hydroelectric Power

来源：

数学季刊 | 2006年 / 04期

关键词：

D O I：

暂无

中图分类号：

O175.1 [常微分方程];

学科分类号：

070101 [基础数学];

摘要：

<正>A simple SI epidemic model with age of vaccination is discussed in this paper. Both varing birth rate,the mortality rate caused by disease and vaccine waning rate are considered in this model.We prove that the global dynamics is completely determined by the basic reproductive number R(Ψ)(Ψdenotes per capita vaccination rate).If R(0)＜1, the disease-free equilibrium is a global attractor;If R(Ψ)＜1,the disease-free equilibrium is locally asymptotically stable;If R(Ψ)＞1,an unique endemic equilibrium exists and is locally asymptotically stable under certain condition.

引用

页码：545 / 552

页数：8