Logistic增长的时滞SIS模型分析  

Study on a Delay SIS Epidemic Model with Logistic Dynamics

作　　者：胡宝安[1] 陈博文[1] 夏爱生[1] 邹晓建[1] 鞠涛[1] 

机构地区：[1]天津军事交通学院数学教研室,天津300161

出　　处：《工程数学学报》2007年第2期373-376,共4页Chinese Journal of Engineering Mathematics

摘　　要：本文研究了一类具有生理阶段结构的Logistic增长的SIS传染病模型,给出了系统边界平衡点和正平衡点全局渐近稳定的条件。即得到了传染病最终消除和成为地方病的阈值。In this paper, an SIS epidemic model with logistic dynamics that consists immature and mature stage is studied. If the system has no positive equilibrium, the boundary equilibrium is asymptotically global stable; If the system has positive equilibrium, it is asymptotically global stable. Therefore, the threshold is found.

关 键 词：阶段结构 SIS模型 全局渐近稳定 阈值 

分 类 号：O175.1[理学—数学]