文献类型：期刊文献

英文题名：Uniqueness of periodic solutions of a nonautonomous density-dependent predator-prey system

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]

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.

年份：2015

卷号：422

期号：2

起止页码：886-905

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：;Scopus(收录号：2-s2.0-84908200556);WOS:【SCI-EXPANDED(收录号:WOS:000344911800008)】；

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; Brouwer fixed-point theorem; Global attractiveness; Uniqueness of periodic solutions

摘要：In this present paper, we investigate the uniqueness of periodic solutions of a nonautonomous density-dependent and ratio-dependent predator-prey system, 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 start with a sufficient condition for the permanence of the system and then construct a weaker sufficient condition by introducing a specific set, denoted as Gamma. Based on this Gamma and the Brouwer fixed-point theorem, we obtain the existence condition of positive periodic solutions. Moreover, since the uniqueness of positive periodic solutions can be ensured by global attractiveness, we alternatively introduce a sufficient condition for global attractiveness. Similarly, we also provide a sufficient condition for the uniqueness of non-negative periodic solutions. (C) 2014 Elsevier Inc. All rights reserved.