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| 具有接种疫苗年龄和媒介发生率的SIVS模型分析 | |
| 引用本文： | 杨俊元,王晓燕,李学志,张凤琴.具有接种疫苗年龄和媒介发生率的SIVS模型分析[J].应用数学,2011,24(2). |
| 作者姓名： | 杨俊元 王晓燕 李学志 张凤琴 |
| 作者单位： | 1. 北京信息与控制研究所,北京100037;运城学院应用数学系,山西运城044000 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 |
| 基金项目： | 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Ro ＜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. |
| 关 键 词： | 流行病模型 接种疫苗年龄 媒介发生率 基本再生数 |
Analysis of an SIVS Epidemic Models with Media Incidence and Vaccinated Age |
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| YANG Junyuan , WANG Xiaoyan , LI Xuezhi , ZHANG Fengqin.Analysis of an SIVS Epidemic Models with Media Incidence and Vaccinated Age[J].Mathematica Applicata,2011,24(2). | |
| Authors: | YANG Junyuan WANG Xiaoyan LI Xuezhi ZHANG Fengqin |
| Institution: | YANG Junyuan1,2,WANG Xiaoyan2LI Xuezhi3,ZHANG Fengqin2 (1.Beijing Institute of Information and Control,Beijing 100037,China,2.Department of Applied Mathematics,Yuncheng University,Yuncheng 044000,3.Department of Mathematics,Xinyang Normal University,Xinyang 464000,China) |
| Abstract: | 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. |
| Keywords: | Epidemic model Vaccinated age Media incidence Reproductive number |
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