文献类型：期刊文献

英文题名：A DENSITY-DEPENDENT PREDATOR-PREY MODEL OF BEDDINGTON-DEANGELIS TYPE

作者：Li, Haiyin[1,2,3];She, Zhikun[2,4]

第一作者：Li, Haiyin;李海银

通讯作者：Li, HY[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;[4]Beihang Univ, LMIB, SKLSDE, Beijing 100191, 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：2014

卷号：2014

外文期刊名：ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

收录：;Scopus(收录号：2-s2.0-84907694739);WOS:【SCI-EXPANDED(收录号:WOS:000342141200003)】；

基金：This work was supported by grants NSFC-11422111, NSFC-11290141, NSFC-11371047, SKLSDE-2013ZX-10, and by the Innovation Foundation of BUAA for PhD Granduates.

语种：英文

外文关键词：Density dependence; global attractiveness; omega-limit set; permanence

摘要：In this article, we study the dynamics of a density-dependent predator-prey system of Beddington-DeAngelis type. We obtain sufficient and necessary conditions for the existence of a unique positive equilibrium, the global attractiveness of the boundary equilibrium, and the permanence of the system, respectively. Moreover, we derive a sufficient condition for the locally asymptotic stability of the positive equilibrium by the Lyapunov function theory and a sufficient condition for the global attractiveness of the positive equilibrium by the comparison theory.