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| 一类捕食者存在疾病的捕食系统传染病模型 | |
| 引用本文： | 杨亚莉,李建全,赵伟.一类捕食者存在疾病的捕食系统传染病模型[J].数学的实践与认识,2009,39(17). |
| 作者姓名： | 杨亚莉 李建全 赵伟 |
| 作者单位： | 1. 西安交通大学理学院,应用数学系,陕西,西安,710049;空军工程大学理学院,应用数学物理系,陕西,西安,710051 2. 空军工程大学理学院,应用数学物理系,陕西,西安,710051 3. 西安交通大学理学院,应用数学系,陕西,西安,710049 |
| 摘 要： | 建立并分析一类捕食者存在疾病的捕食系统传染病模型,模型中不考虑疾病对捕获率的影响.通过极限系统理论、Lyapunov稳定性理论分析和Bendixson判据,给出了各类平衡点存在及其全局稳定的条件,并得到了捕食者绝灭和疾病成为地方病的充分必要条件. |
| 关 键 词： | 捕食系统 传染病模型 基本再生数 平衡点 全局渐近稳定性 |
A Predator-prey SEIR Epidemic Model with Infected Predator |
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| YANG Ya-li,LI Jian-quan,ZHAO Wei.A Predator-prey SEIR Epidemic Model with Infected Predator[J].Mathematics in Practice and Theory,2009,39(17). | |
| Authors: | YANG Ya-li LI Jian-quan ZHAO Wei |
| Abstract: | A predator-pry epidemic model with infected predator is studied, and the effects of the disease on predation for the infected predator are not considered. Limit system theory, Lyapunov's stability and Bendixson criterion were used in the study. The necessary and sufficient conditions that guarantee the global asymptotic stability of disease-free equilibrium and endemic equilibrium are obtained. |
| Keywords: | predator-prey model epidemic model basic reproduction equilibrium Global asymptotic stability |
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