| B-D功能反应密度制约的离散非自治捕食者—食饵系统的周期解 |
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| 引用本文： | 李海银.B-D功能反应密度制约的离散非自治捕食者—食饵系统的周期解[J].郑州大学学报(理学版),2011(3). |
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| 作者姓名： | 李海银 |
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| 作者单位： | 河南财经政法大学数学与信息科学系; |
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| 基金项目： | 国家自然科学基金资助项目,编号60774041 |
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| 摘 要： | 利用Gains和Mawhin重合度理论中的延拓定理,得到了一类具有Beddington-DeAngelis功能反应密度制约的离散非自治捕食者—食饵系统周期解存在性的充分条件,推广了某些已知的相关结果.这个结论不仅适用于离散时滞,同样也适用于分布时滞和偏差变元.
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| 关 键 词： | 捕食者密度制约 B-D功能反应函数 周期解 重合度理论 延拓定理 |
Periodic Solution of Discrete Time Nonautonomous Density Dependent Predator-Prey System with B-D Functional Response |
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| LI Hai-yin.Periodic Solution of Discrete Time Nonautonomous Density Dependent Predator-Prey System with B-D Functional Response[J].Journal of Zhengzhou University:Natural Science Edition,2011(3). |
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| Authors: | LI Hai-yin |
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| Institution: | LI Hai-yin(Department of Mathematics and Information,Henan University of Economics and Law,Zhengzhou 450002,China) |
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| Abstract: | By using the continution theorem based on Gaines and Mawhin's coincidence degree,sufficient and realistic conditions were obtained for the existence of positive periodic solutions for a discrete time nonautonomous density dependence predator-prey system with Beddington-DeAngelis functional response,and the results were improved.The results were applicable to distribute delays and deviating arguments. |
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| Keywords: | density dependent predator Beddington-DeAngelis functional response periodic solution coincidence degree continution theorem |
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