文献类型：期刊文献

英文题名：Dynamics of the density dependent predator-prey system with Beddington-DeAngelis functional response

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

第一作者：李海银

通讯作者：Takeuchi, Y[1]

机构：[1]Shizuoka Univ, Grad Sch Sci & Technol, Shizuoka 4228529, Japan;[2]Henan Univ Finance & Econ, Dept Math & Informat, Zhengzhou, Peoples R China

第一机构：Shizuoka Univ, Grad Sch Sci & Technol, Shizuoka 4228529, Japan

通讯机构：[1]corresponding author), Shizuoka Univ, Grad Sch Sci & Technol, Shizuoka 4228529, Japan.

年份：2011

卷号：374

期号：2

起止页码：644-654

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：;Scopus(收录号：2-s2.0-77957768633);WOS:【SCI-EXPANDED(收录号:WOS:000283965000026)】；

基金：Supported by the National Natural Science Foundation of China (No. 60774041) and by the Grant-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 dependence; Beddington-DeAngelis functional response; Permanence; Stability; Lyapunov function

摘要：Two models of a density dependent predator-prey system with Beddington-DeAngelis functional response are systematically considered. One includes the time delay in the functional response and the other does not. The explorations involve the permanence, local asymptotic stability and global asymptotic stability of the positive equilibrium for the models by using stability theory of differential equations and Lyapunov functions. For the permanence, the density dependence for predators is shown to give some negative effect for the two models. Further the permanence implies the local asymptotic stability for a positive equilibrium point of the model without delay. Also the global asymptotic stability condition, which can be easily checked for the model is obtained. For the model with time delay, local and global asymptotic stability conditions are obtained. (C) 2010 Elsevier Inc. All rights reserved.