文献类型：期刊文献

英文题名：Dynamics of Stage-Structured Predator-Prey Model with Beddington-DeAngelis Functional Response and Harvesting

作者：Li, Haiyin[1];Cheng, Xuhua[2]

第一作者：李海银

通讯作者：Cheng, XH[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat, Zhengzhou 450046, Peoples R China;[2]Hebei Univ Technol, Sch Sci, Tianjin 300401, Peoples R China

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), Hebei Univ Technol, Sch Sci, Tianjin 300401, Peoples R China.

年份：2021

卷号：9

期号：17

外文期刊名：MATHEMATICS

收录：;Scopus(收录号：2-s2.0-85114611132);WOS:【SCI-EXPANDED(收录号:WOS:000694260900001)】；

基金：This research is partially supported by National Natural Science Foundation of China (Grant No. 11601257) and Natural Science Foundation of Hebei Province (Grant No. A2019202342).

语种：英文

外文关键词：density-dependent predation; stage-structure; harvesting; Beddington-DeAngelis functional response

摘要：In this paper, we investigate the stability of equilibrium in the stage-structured and density-dependent predator-prey system with Beddington-DeAngelis functional response. First, by checking the sign of the real part for eigenvalue, local stability of origin equilibrium and boundary equilibrium are studied. Second, we explore the local stability of the positive equilibrium for tau=0 and tau not equal 0 (time delay tau is the time taken from immaturity to maturity predator), which shows that local stability of the positive equilibrium is dependent on parameter tau. Third, we qualitatively analyze global asymptotical stability of the positive equilibrium. Based on stability theory of periodic solutions, global asymptotical stability of the positive equilibrium is obtained when tau=0; by constructing Lyapunov functions, we conclude that the positive equilibrium is also globally asymptotically stable when tau not equal 0. Finally, examples with numerical simulations are given to illustrate the obtained results.