GLOBAL STABILITY OF AN SVIR EPIDEMIC MODEL WITH VACCINATION

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2011,（2）
• 页码范围: 162-168
• 页数: 7页
• 分类号: O17

摘要

In this paper, an SIR epidemic model with vaccination for both the newborns and susceptibles is investigated, where it is assumed that the vaccinated individuals have the temporary immunity. The basic reproduction number determining the extinction or persistence of the infection is found. By constructing a Lyapunov function, it is proved that the disease free equilibrium is globally stable when the basic reproduction number is less than or equal to one, and that the endemic equilibrium is globally stable wh...