文献类型：期刊文献

中文题名：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

英文题名：Periodic Solution of Discrete Time Nonautonomous Density Dependent Predator-Prey System with B-D Functional Response

作者：李海银[1]

第一作者：李海银

机构：[1]河南财经政法大学数学与信息科学系,河南郑州450002

第一机构：河南财经政法大学数学与信息科学学院

年份：2011

卷号：43

期号：3

起止页码：38-42

中文期刊名：郑州大学学报：理学版

外文期刊名：Journal of Zhengzhou University(Natural Science Edition)

收录：CSTPCD;;北大核心:【北大核心2008】；

基金：国家自然科学基金资助项目,编号60774041

语种：中文

中文关键词：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

外文关键词：density dependent predator; Beddington-DeAngelis functional response; periodic solution;coincidence degree; continution theorem

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.
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 predatorprey system with Beddington-DeAngelis functional response, and the results were improved. The results were applicable to distribute delays and deviating arguments.