文献类型：期刊文献

英文题名：Dynamics of a non-autonomous density-dependent predator-prey model with Beddington-DeAngelis type

作者：Li, Haiyin[1,2,3];She, Zhikun[1,2]

第一作者：Li, Haiyin;李海银

通讯作者：She, ZK[1];She, ZK[2]

机构：[1]Beihang Univ, LMIB, Beijing 100191, Peoples R China;[2]Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China;[3]Henan Univ Econ & Law, Dept Math & Informat, Zhengzhou, Peoples R China

第一机构：Beihang Univ, LMIB, Beijing 100191, Peoples R China

通讯机构：[1]corresponding author), Beihang Univ, LMIB, Beijing 100191, Peoples R China;[2]corresponding author), Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China.

年份：2016

卷号：9

期号：4

外文期刊名：INTERNATIONAL JOURNAL OF BIOMATHEMATICS

收录：;Scopus(收录号：2-s2.0-84946771241);WOS:【SCI-EXPANDED(收录号:WOS:000375048600002)】；

基金：This work was partly supported by NSFC-11422111, NSFC-11371047 and NSFC-11290141.

语种：英文

外文关键词：Permanence; Beddington-DeAngelis functional response; global attractiveness; uniqueness of periodic solutions

摘要：The goal of this paper is to investigate the dynamics of a non-autonomous 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, such that the studied predator-prey system conforms to the realistically biological environment. We firstly introduce a sufficient condition for the permanence of the system and then use a specific set to obtain a weaker sufficient condition. Afterward, we provide corresponding conditions for the extinction of the system and the existence of boundary periodical solutions, respectively. Further, we get a sufficient condition for global attractiveness of the boundary periodic solution by constructing a Lyapunov function, arriving at the uniqueness of boundary periodic solutions since the uniqueness of boundary periodic solutions can be ensured by global attractiveness. Finally, based on the existence of positive periodic solutions, which can be ensured by the Brouwer fixed-point theorem, we provide a sufficient condition for the uniqueness of positive periodic solutions.