Complexity Analysis of a Modified Predator-Prey System with Beddington-DeAngelis Functional Response and Allee-Like Effect on Predator

被引:7
作者
Wang, Shuangte [1 ]
Yu, Hengguo [1 ]
机构
[1] Wenzhou Univ, Coll Math & Phys, Wenzhou, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1155/2021/5618190
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, complex dynamical behaviors of a predator-prey system with the Beddington-DeAngelis functional response and the Allee-like effect on predator were studied by qualitative analysis and numerical simulations. Theoretical derivations have given some sufficient and threshold conditions to guarantee the occurrence of transcritical, saddle-node, pitchfork, and nondegenerate Hopf bifurcations. Computer simulations have verified the feasibility and effectiveness of the theoretical results. In short, we hope that these works could provide a theoretical basis for future research of complexity in more predator-prey ecosystems.
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收藏
页数:18
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