| 具有Hassell-Varley型功能性反应的捕食者-食饵系统周期解的存在性 |
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| 引用本文： | 温绍雄,范猛.具有Hassell-Varley型功能性反应的捕食者-食饵系统周期解的存在性[J].东北师大学报(自然科学版),2011,43(1):10-15. |
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| 作者姓名： | 温绍雄 范猛 |
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| 作者单位： | 东北师范大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(NSFC10971022); 教育部“新世纪优秀人才支持计划”资助项目(NCET-08-0755) |
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| 摘 要： | 利用重合度理论中的延拓定理,讨论了一类时标动力学方程所刻画的具有Hassell-Varley型功能性反应的捕食者-食饵系统周期解的存在性,得到了该系统存在周期解的充分条件.
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| 关 键 词： | 时标 捕食者-食饵系统 Hassell-Varley型功能性反应 重合度 周期解 |
Existence of periodic soluton of a predator-prey system with Hassell-Varley functional response |
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| WEN Shao-xiong,FAN Meng.Existence of periodic soluton of a predator-prey system with Hassell-Varley functional response[J].Journal of Northeast Normal University (Natural Science Edition),2011,43(1):10-15. |
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| Authors: | WEN Shao-xiong FAN Meng |
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| Institution: | WEN Shao-xiong,FAN Meng(School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China) |
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| Abstract: | With the help of a continuation theorem in coincidence degree theory,some sufficient criteria are established for the existence of positive periodic solution to a periodic predator-prey system with Hassell-Varley type functional response governed by a dynamic equation on general time scales. |
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| Keywords: | time scales predator-prey system Hassell-Varley functional response coincidence degree periodic solution |
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