摘要
研究具有时滞的媒介传播的传染病模型.确定了疾病是否流行的阈值R0.当R0≤1时,通过构造Lyapunov泛函证明了系统无病平衡点的全局渐近稳定性.
A vector-borne disease model with time delay is studied. The threshold Ro is obtained which determines whether the disease is extinct or not. If R0 ≤1, by using Lyapunov function, it is proved that the disease-free equilibrium is global asymptotically stable and the disease dies out.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第16期104-108,共5页
Mathematics in Practice and Theory
基金
山西省自然科学基金(2007011019)
山西高校科技研究开发项目(20061025)
关键词
西尼罗病毒
媒介传播
时滞
全局渐近稳定
west nile virus
vector-borne
delay
global asymptotic stability
