| 具Ⅱ类功能反应及捕获的两斑块扩散捕食系统多个周期解的存在性 |
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| 引用本文： | 魏凤英.具Ⅱ类功能反应及捕获的两斑块扩散捕食系统多个周期解的存在性[J].东北师大学报(自然科学版),2012,44(3):9-14. |
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| 作者姓名： | 魏凤英 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建福州,350108 |
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| 基金项目： | 国家自然科学基金资助项目(10726062);福建省自然科学基金资助项目(2010J01005,2011J05004);福州大学科技发展基金资助项目(2010-XQ-24) |
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| 摘 要： | 运用重合度理论中的延拓定理,研究了一类具有Ⅱ类功能反应及捕获的两斑块扩散捕食系统的多个周期解的存在性.得到了该系统至少存在8个不同正周期解的充分性条件,并举例说明所得结论的有效性.
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| 关 键 词： | 周期解 捕食者-食饵系统 重合度 HollingⅡ类功能反应 捕获 扩散 |
Existence of multiple positive periodic solutions for two-patch diffusive predator-prey system with harvesting and Holling Ⅱ type functional response |
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| WEI Feng-ying.Existence of multiple positive periodic solutions for two-patch diffusive predator-prey system with harvesting and Holling Ⅱ type functional response[J].Journal of Northeast Normal University (Natural Science Edition),2012,44(3):9-14. |
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| Authors: | WEI Feng-ying |
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| Institution: | WEI Feng-ying(College of Mathematics and Computer Science,Fuzhou University,Fuzhou 350108,China) |
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| Abstract: | By using of a continuation theorem in coincidence degree theory,the existence of multiple periodic solutions for two-patch predator-prey system with harvesting and diffusion was studied in this paper.Some sufficient conditions are established for the existence of at least eight positive periodic solutions of two-patch predator-prey system.A concrete example is given to illustrate the effectiveness of our results. |
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| Keywords: | periodic solution predator-prey system coincidence degree Holling Ⅱ type functional response harvesting diffusion |
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