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| 具有时滞的媒介传播模型的稳定性分析 | |
| 引用本文： | 王建军,薛亚奎,张晋珠.具有时滞的媒介传播模型的稳定性分析[J].数学的实践与认识,2008,38(16). |
| 作者姓名： | 王建军 薛亚奎 张晋珠 |
| 作者单位： | 1. 太原工业学院基础部,山西,太原,030008 2. 中北大学数学系,山西,太原,030051 3. 太原工业学院基础部,山西,太原,030008;中北大学数学系,山西,太原,030051 |
| 基金项目： | 山西省自然科学基金，山西省高等学校科研开发基金 |
| 摘 要： | 研究具有时滞的媒介传播的传染病模型.确定了疾病是否流行的阈值R0.当R0≤1时,通过构造Lyapunov泛函证明了系统无病平衡点的全局渐近稳定性. |
| 关 键 词： | 西尼罗病毒 媒介传播 时滞 全局渐近稳定 |
Analysis of Stability for Vector-borne Disease Model with Time Delay |
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| WANG Jian-jun,XUE Ya-kui,ZHAN Gin-zhu.Analysis of Stability for Vector-borne Disease Model with Time Delay[J].Mathematics in Practice and Theory,2008,38(16). | |
| Authors: | WANG Jian-jun XUE Ya-kui ZHAN Gin-zhu |
| Abstract: | A vector-borne disease model with time delay is studied.The threshold R0 is obtained which determines whether the disease is extinct or not.If R01,by using Lyapunov function,it is proved that the disease-free equilibrium is global asymptotically stable and the disease dies out. |
| Keywords: | west nile virus vector-borne delay global asymptotic stability |
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