一类在幼年时期传播的SIS传染病模型分析  

Analysis of a kind of SIS epidemic model disseminated in childhood

作　　者：苏丹丹[1] 

机构地区：[1]罗定职业技术学院教育系,广东罗定527200

出　　处：《西南民族大学学报（自然科学版）》2014年第2期249-255,共7页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金重大项目(10990011)

摘　　要：利用微分方程的稳定性理论与传染病模型的理论知识,研究了一类仅在幼年时期传播的SIS传染病模型,讨论了系统在平衡点处的稳定性态.并通过构造Liapunov函数,得到了系统在无病平衡点与地方病平衡点处全局渐近稳定的阈值.The stability and the epidemic model theory of the differential equation are used in this paper, and a kind of SIS epidemic model only disseminated in childhood is studied. The stable condition of system in equilibrium point is discussed, In addition, by constructing Liapunov function, the global asymptotic thresholds of disease flee and the endemic equilibrium are obtained.

关 键 词：传染病模型 平衡点 局部渐近稳定 全局渐近稳定 

分 类 号：O175[理学—数学]