摘要
建立了具有一般接触率的SIR(Susceptible-Infected-Removed)传染病模型.结合具有常数移民和指数出生的一般情形对所建传染病模型进行了分析研究,给出了基本再生数R0,当R0≤1时,无病平衡点全局渐近稳定;当R0>1时,无病平衡点不稳定并且地方病全局渐近稳定.
An SIR epidemic model with general contact rate was considered. After analysis of epidemic model in constant recruitment and exponential born conditions, the basic reproductive rate was identifled. The disease-free equilibrium is globally asymptotically stable if Ro≤1. The disease-free equilibrium is unstable and the endemic equilibrium is globally asymptotically stable if Ro〉1.
出处
《中北大学学报（自然科学版）》
EI
CAS
2007年第1期18-21,共4页
Journal of North University of China(Natural Science Edition)
基金
国家自然科学基金资助项目(10471040)
关键词
流行病模型
平衡点
稳定性
基本再生数
epidemic model
equilibrium
stability
basic reproductive rate
