摘要
研究了一类疫苗有效性具有阶段性特征的传染病模型,得到了决定传染病流行与否的阈值:基本再生数R_0.证明了当R_0<1时,无病平衡点是全局稳定的;当R_0>1时,地方病平衡点是全局稳定的.
An epidemic model with phased characteristics of vaccine efficacy was dealt with in this paper. The basic reproduction number, which characterizes the extinction or persistence of an infection, was obtained. By constructing the Lyapunov function, it was proved that the disease free equilibrium of the system was globally stable when the basic reproduction number was less than one, and the unique endemic equilibrium of the system was globally stable when the basic reproduction number was greater than one.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2016年第3期371-374,共4页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金项目(11371369
11301320)
陕西省自然科学基金项目(2013JM1003)
关键词
疫苗有效性
基本再生数
预防接种
全局稳定
vaccine efficacy
basic reproduction number
vaccination
globally stable
