| 一类具有比率依赖密度制约的离散非自治捕食-被捕食系统周期解的存在性 |
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| 引用本文： | 李玉红,李海银.一类具有比率依赖密度制约的离散非自治捕食-被捕食系统周期解的存在性[J].云南大学学报(自然科学版),2012,34(5):497-502. |
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| 作者姓名： | 李玉红 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(60774041);河南省软科学研究计划资助项目(029200430002) |
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| 摘 要： | 利用Gains和Mawhin重合度理论中的延拓定理,得到了一类具有比率依赖密度制约的离散非自治捕食-被捕食系统周期解的存在性和保证周期解存在的充分条件,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 比率依赖 周期解 延拓定理 |
Periodic solution of a discrete time nonautonomous predator-prey system with density dependentce and ratio-dependence |
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| LI Yu-hong,LI Hai-yin.Periodic solution of a discrete time nonautonomous predator-prey system with density dependentce and ratio-dependence[J].Journal of Yunnan University(Natural Sciences),2012,34(5):497-502. |
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| Authors: | LI Yu-hong LI Hai-yin |
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| Institution: | (Department of Mathematics and Information,Henan University of Economics and Law,Zhengzhou 450002,China) |
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| Abstract: | By using the continuation theorem based on Gaines and Mawhin’s coincidence degree,sufficient and realistic conditions are obtained for the existence of positive periodic solutions for a discrete time nonautonomous predator-prey system with density dependence and ratio-dependence,and extend and improve some previous results.Our results are applicable to distributed delays and deviating arguments. |
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| Keywords: | density dependent predator ratio-dependence periodic solution continution theorem |
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