| 一类具有时滞功能反应的两种群捕食-食饵脉冲扩散系统的周期解 |
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| 引用本文： | 潘康,李必文.一类具有时滞功能反应的两种群捕食-食饵脉冲扩散系统的周期解[J].数学杂志,2010,30(1). |
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| 作者姓名： | 潘康 李必文 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北,黄石,435002 |
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| 基金项目： | 湖北省自然科学基金资助项目，湖北省教育厅重大项目，青年科研基金项目 |
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| 摘 要： | 本文研究了一类具有脉冲的时滞功能反应的两种群捕食-食饵扩散模型的周期解存在性问题.应用重合度理论方法和不等式的分析理论,得到该系统正周期解存在的充分条件.
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| 关 键 词： | 周期解 重含度 扩散性 延拓定理 捕食-食饵 |
EXISTENCE OF POSITIVE PERIODIC SOLUTION FOR TWO-PATCHES PREDATOR-PREY IMPULSIVE DIFFUSION DELAY SYSTEMS WITH FUNCTIONAL RESPONSE |
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| PAN Kang,LI Bi-wen.EXISTENCE OF POSITIVE PERIODIC SOLUTION FOR TWO-PATCHES PREDATOR-PREY IMPULSIVE DIFFUSION DELAY SYSTEMS WITH FUNCTIONAL RESPONSE[J].Journal of Mathematics,2010,30(1). |
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| Authors: | PAN Kang LI Bi-wen |
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| Institution: | PAN Kang,LI Bi-wen (College of Mathematics , Statistics,Hubei Normal University,Huangshi 435002,China) |
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| Abstract: | In this article,we study the existence of positive periodic solution for two-patches predator-prey impulsive diffusion delay systems with functional response.By using the method of coincidence degree theorem and the differential inequality technique,we conclude the sufficient conditions for the existence of positive periodic solution. |
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| Keywords: | periodic solution coincidence degree continuation diffusion predator-prey |
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