一类非终身免疫传染病模型的全局稳定性  

Global Stability of a Class of Infectious Disease Models with Nonlifelong Immunity

作　　者：索淑文[1] 郭晓君[1] 李大治[1] 

机构地区：[1]南通大学理学院,江苏南通226007

出　　处：《南通大学学报（自然科学版）》2007年第3期16-18,共3页Journal of Nantong University(Natural Science Edition)　

基　　金：南通大学自然科学基金资助项目(06Z008)

摘　　要：文章讨论了采取预防接种的非终身免疫传染病的数学模型,得到了决定疾病流行与否的阈值R0,当R0≤1时,仅存在无病平衡点E0′,是全局渐近稳定的;当R0>1时,存在两个平衡点,其中无病平衡点E0′不稳定,地方病平衡点E+′全局渐近稳定.A class of infectious disease models with nonlifelong immunity and vaccinal immunity are analyzed in this paper. The threshold R0 is obtained, which determines the existence of an infectious disease. When R0≤1, there only exists disease free equilibrium point E0, which is globally asymptotically stable. When R〉1, there exist two equilibrium points,the disease free equilibrium point E. which is unstable and the endemic equilibrium point which is globally asymptotically stable.

关 键 词：阚值 平衡点 全局渐近稳定 

分 类 号：O175.13[理学—数学]