| 具有脉冲扰动的比率相关功能性反应捕食者-食饵扩散模型的持续生存和周期解 |
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| 引用本文： | 钟敏玲,刘秀湘.具有脉冲扰动的比率相关功能性反应捕食者-食饵扩散模型的持续生存和周期解[J].应用数学,2010,23(3). |
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| 作者姓名： | 钟敏玲 刘秀湘 |
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| 作者单位： | 1. 广东外语外贸大学信息科学技术学院,广东,广州,510006
2. 华南师范大学数学科学学院,广东,广州,510631 |
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| 摘 要： | 本文考虑一类具有脉冲扰动的比率相关的捕食者一食饵扩散模型,利用比较原理研究了这类系统的持续生存和灭绝性,通过将脉冲反应扩散方程转化为相应的算子方程,并证明了解在适当空间的紧性,得到了周期解的存在性、唯一性和全局稳定性.最后分析了脉冲效应对系统性态的影响.
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| 关 键 词： | 比率相关功能性反应 持续生存 周期解 扩散捕食者-食饵模型 |
Permanence and Periodicity of a Diffusive Ratio-dependent Predator-prey Model with Impulsive Perturbations |
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| ZHONG Minling,LIU Xiuxiang.Permanence and Periodicity of a Diffusive Ratio-dependent Predator-prey Model with Impulsive Perturbations[J].Mathematica Applicata,2010,23(3). |
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| Authors: | ZHONG Minling LIU Xiuxiang |
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| Abstract: | This paper deals with a diffusive ratio-dependent predator-prey model with impulsive perturbations. The permanence and extinction of the system are investigated by comparison principles. The existence, uniqueness and globally asymptotic stability of positive periodic solutions are obtained. The presented results illustrate impulsive control is an important strategy in ecological resource management since it can transform the permanence of ecological system. |
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| Keywords: | Ratio-dependent Permanence Periodic solution Diffusive predator-prey system |
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