文献类型：期刊文献

英文题名：DYNAMICS OF THE DENSITY DEPENDENT AND NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

作者：Li, Haiyin[1];Takeuchi, Yasuhiro[2]

第一作者：李海银

通讯作者：Li, HY[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat, Zhengzhou, Peoples R China;[2]Aoyama Gakuin Univ, Coll Sci & Engn, Sagamihara, Kanagawa, Japan

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Dept Math & Informat, Zhengzhou, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2015

卷号：20

期号：4

起止页码：1117-1134

外文期刊名：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

收录：;Scopus(收录号：2-s2.0-84922801474);WOS:【SCI-EXPANDED(收录号:WOS:000350309500008)】；

基金：This work was supported by NSF Grant 61203050 and 61143002, Grand-in-Aid for Scientific Research (C) No. 22540122, Japan Society for the Promotion of Science.

语种：英文

外文关键词：Density dependent predator; Beddington-DeAngelis functional response; permanence; periodic solution

摘要：We investigate the dynamics of a non-autonomous and density dependent predator-prey system with Beddington-DeAngelis functional response, where not only the prey density dependence but also the predator density dependence are considered. First, we derive a sufficient condition of permanence by comparison theorem, at the same time we propose a weaker condition ensuring some positive bounded set to be positive invariant. Next, we obtain two existence conditions for positive periodic solution by Brouwer fixed-point theorem and by continuation theorem, where the second condition is weaker than the first and gives the existence range of periodic solution. Further we show the global attractivity of the bounded positive solution by constructing Lyapunov function. Similarly, we have sufficient condition of global attractivity of boundary periodic solution.