| 一类具有Hassell-Varley型功能反应和脉冲的扩散捕食系统的正周期解存在性 |
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| 引用本文： | 沈柳平,姚晓洁,杨继昌.一类具有Hassell-Varley型功能反应和脉冲的扩散捕食系统的正周期解存在性[J].数学的实践与认识,2011,41(13). |
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| 作者姓名： | 沈柳平 姚晓洁 杨继昌 |
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| 作者单位： | 广西柳州师范高等专科学校数学与计算机科学系,广西柳州,545004 |
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| 摘 要： | 考虑了一类具有Hassell-Varley型功能反应和脉冲的扩散捕食系统,利用Mawhin延拓引理建立了这类系统周期解存在性的充分性条件.
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| 关 键 词： | Hassell-Varley型功能反应 脉冲 扩散 正周期解 Mawhin延拓引理 |
Existence of Periodic Solutions for a Class of a Kind of Impulsive Predator- Prey System with Hassell-Varley Functional Response and Diffusion |
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| SHEN Liu-ping,YAO Xiao-jie,YANG Ji-chang.Existence of Periodic Solutions for a Class of a Kind of Impulsive Predator- Prey System with Hassell-Varley Functional Response and Diffusion[J].Mathematics in Practice and Theory,2011,41(13). |
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| Authors: | SHEN Liu-ping YAO Xiao-jie YANG Ji-chang |
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| Institution: | SHEN Liu-ping,YAO Xiao-jie,YANG Ji-chang (Department of Mathematics and computer science,Liuzhou Teachers College,Liuzhou 545004,China) |
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| Abstract: | This paper investigates the existence of periodic solutions for a kind of impulsive predator-prey system with Hassell-Varley functional response and diffusion.By using a continuation theorem based on coincidence degree theory,some new sufficient conditions of positive periodic solutions of the system are established.Which modifies and generalizes some corresponding publishing results. |
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| Keywords: | Hassell-Varley functional response impulsive positive periodic solutions coincidence degree |
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