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| 捕食者与食饵都染病的捕食-被捕食模型分析 | |
| 引用本文： | 李庆,李有文. 捕食者与食饵都染病的捕食-被捕食模型分析[J]. 数学的实践与认识, 2009, 39(9) |
| 作者姓名： | 李庆 李有文 |
| 作者单位： | 中北大学数学系,山西,太原,030051 |
| 基金项目： | 山西省青年科学基金，山西省高校科技研究开发项目 |
| 摘 要： | 建立并分析了一个捕食者和食饵都染病的捕食-被捕食模型,求得了它的非负平衡点.利用Hurwitz判据,用特征根的方法得到了边界平衡点局部渐近稳定的充分条件.进一步利用LaSalle不变性原理获得了正平衡点全局渐近稳定的充分条件. |
| 关 键 词： | 捕食-被捕食系统 渐近稳定性 平衡点 传染病 |
Analysis of an Prey-predator Model with Diseases in the Prey and Predator |
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| LI Qing,LI You-wen. Analysis of an Prey-predator Model with Diseases in the Prey and Predator[J]. Mathematics in Practice and Theory, 2009, 39(9) | |
| Authors: | LI Qing LI You-wen |
| Abstract: | We analyze and formulate the prey-predator model with diseases in the prey and predator,we study the existence of the non-negative equilibria,obtain the sufficient conditions of locally asymptotical stability of the equilibria by the Hurwitz criterion,then we analyze the global stability of the positive equilibria by constructing appropriate Lyapunov functions. |
| Keywords: | prey-predator model asymptotically stable equilibria disease |
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