具有接种疫苗年龄和媒介发生率的SIVS模型分析(英文)  

Analysis of an SIVS Epidemic Models with Media Incidence and Vaccinated Age

作　　者：杨俊元[1,2] 王晓燕[2] 李学志[3] 张凤琴[2] 

机构地区：[1]北京信息与控制研究所,北京100037 [2]运城学院应用数学系,山西运城044000 [3]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《应用数学》2011年第2期391-398,共8页Mathematica Applicata

基　　金：Supported by the Sciences Exploited Foundation of Shanxi (20081045);the University Foundation of Yuncheng University (20060218)

摘　　要：本文研究了一类带有接种疫苗年龄和媒介发生率的SIVS流行病模型.运用微分和积分方程理论,如果R0<β1/[b(1-p)+λ]<1,得到无病平衡点是全局渐近稳定的;如果R0>1 ,地方病平衡点是全局渐近稳定的.An SIVS epidemic model with media incidence and vaccinated age has been formulated in this paper. Using the theory of differential and integral equation,we show that the infection-free equilibrium is globally asymptotical stable if the reproductive number R0〈 1, and the endemic equilibrium is existence and locally asymptotically stable if R0 〉 1.

关 键 词：流行病模型 接种疫苗年龄 媒介发生率 基本再生数 

分 类 号：O175.2[理学—数学]