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

Shuangte Wang, Hengguo Yu and Rodica Luca

Discrete Dynamics in Nature and Society, 2021, vol. 2021, 1-18

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:5618190

DOI: 10.1155/2021/5618190

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