| 具有时滞的离散捕食者-食饵系统的分析 |
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| 引用本文： | 侯强. 具有时滞的离散捕食者-食饵系统的分析[J]. 数学的实践与认识, 2014, 0(2) |
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| 作者姓名： | 侯强 |
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| 作者单位： | 中北大学数学系; |
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| 摘 要： | 建立了具有Holling I功能反应的离散时滞捕食与被捕食模型,引用已有的结论证明了系统的永久持续性,并且构造Lyapunov函数证明了系统正解的全局吸引性.
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| 关 键 词： | 捕食者-食饵模型 持续性 全局吸引 |
The Analysis of the Discrete Predator-Prey System with Time Delay |
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| Abstract: | In this paper,a discrete predator-prey model with time delay incorporating Holling I functional response is investigated,and permanence of the system is argued via citing previous results,and that the global attractivity of positive solutions of the system are testified by constructing a Lyapunov function. |
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| Keywords: | predator-prey model Permanence Global attractivity |
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