一类媒介-宿主传染病模型的稳定性分析(英文)  

Stability Analysis of a Kind of Vector-host Epidemic Model

作　　者：蔡礼明[1] 罗庆红[1] 

机构地区：[1]信阳师范学院数学与信息科学院,河南信阳464000

出　　处：《信阳师范学院学报（自然科学版）》2010年第1期1-6,共6页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：National Natural Science Foundation of China (10971178);the Program for the Cadreman Youthful Teacher in University of Henan Province(2009)

摘　　要：考虑一类带有混合型发生率的媒介-宿主传染病模型.理论结果显示,基本再生数R0完全确定了模型中平衡态的稳定性.当R0≤1时,无病平衡态是全局渐近稳定的,地方病平衡态不存在;而当R0>1时,疾病将持续且唯一的地方病平衡态是全局渐近稳定的.A kind of vector-host epidemic model with hybridzing incidence is investigated.It is shown that the stability of the equilibria in this model is completely controlled by the basic reproduction number R0.If R0 is less than or equals to one,the disease-free equilibrium is globally asymptotically stable and in such a case the endemic equilibrium does not exist.If R0 is greater than one,then the disease persists and the unique endemic equilibrium is globally asymptotically stable.

关 键 词：媒介-宿主 全局稳定 传染病模型 基本再生数 

分 类 号：O175[理学—数学]