| 具有时变时滞和Holling-N类功能反应的脉冲捕食系统的周期解 |
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| 引用本文： | 杨志春. 具有时变时滞和Holling-N类功能反应的脉冲捕食系统的周期解[J]. 数学的实践与认识, 2008, 38(16) |
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| 作者姓名： | 杨志春 |
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| 作者单位： | 重庆师范大学数学与计算机学院,重庆,400047;中国科学院数学与系统科学研究院,北京,100190 |
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| 基金项目： | 国家自然科学基金,中国博士后科学基金,重庆市教委资助项目 |
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| 摘 要： | 考虑具有时变时滞、Holling-N类功能反应和脉冲效应的捕食-食饵系统的数学模型.利用Mawhin重合度理论,并结合同伦不变性质,以及Young不等式,获得该系统正周期解存在的充分条件,推广和改进(正)最近一些文献的结果.
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| 关 键 词： | 脉冲 时滞 功能反应 捕食-食饵系统 周期解 重合度 同伦 |
Periodic Solutions of Impulsive Predator-Prey System with Time-Varying Delays and Holing-N Functional Response |
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| YAN Zhi-chun. Periodic Solutions of Impulsive Predator-Prey System with Time-Varying Delays and Holing-N Functional Response[J]. Mathematics in Practice and Theory, 2008, 38(16) |
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| Authors: | YAN Zhi-chun |
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| Abstract: | A class model of impulsive predator-prey system with variable delays and Holing-N functional response is considered.By using the continuation theorem of coincidence degree theory,homotopy invariance property and Young′s inequality,some sufficient conditions ensuring the existence of positive periodic solutions of the system are obtained.The results improve and extend some recent works. |
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| Keywords: | impulses delays holling functional response periodic solution predator-prey system coincidence degree homotopy |
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