| Holling IV捕食-食饵时滞系统的多个周期解 |
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| 引用本文： | 田德生,朱长青,朱永松.Holling IV捕食-食饵时滞系统的多个周期解[J].纯粹数学与应用数学,2009(2):339-345. |
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| 作者姓名： | 田德生 朱长青 朱永松 |
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| 作者单位： | 湖北工业大学理学院,湖北武汉430068 |
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| 摘 要： | 应用重合度定理研究了一类具有Holling IV类功能性反应时滞捕食-食饵系统的周期解的存在性问题，建立了该系统具有至少两个正周期解的充分条件．
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| 关 键 词： | 捕食-食饵模型 Holling Ⅳ 多个周期解 重合度 |
Multiple periodic solutions of a delayed predator-prey system with Holling IV |
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| TIAN De-sheng,ZHU Chang-qing,ZHU Yong-song.Multiple periodic solutions of a delayed predator-prey system with Holling IV[J].Pure and Applied Mathematics,2009(2):339-345. |
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| Authors: | TIAN De-sheng ZHU Chang-qing ZHU Yong-song |
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| Institution: | (College of Sciences, Hubei University of Technology, Wuhan 430068, China) |
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| Abstract: | By means of the coincidence degree theory, we study the existence of positive periodic solutions for a delayed predator-prey system with HoUing IV functional response. A set of suficient conditions for this system to have at least two positive periodic solutions is established. |
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| Keywords: | predator-prey model Holling IV multiple periodic solutions coincidence degree |
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