Title: Dynamic behaviour of a predator-prey system with impulsive control strategy

Authors: Baodan Tian; Jiamei Li; Xue Wu; Yong Zhang

Addresses: School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang, Sichuan, 621010, China ' School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang, Sichuan, 621010, China ' School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang, Sichuan, 621010, China ' School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang, Sichuan, 621010, China

Abstract: In this paper, a class of predator-prey system with Beddington-DeAngelis functional response and Allee effect is studied, where impulsive effects are also considered in the model. By using small parameters perturbation skills, comparison theorem and Floquet theory for the impulsive equations, the globally asymptotical stability of the prey-eradication periodic solution and the persistence for the system are obtained. Finally, some numerical examples and simulations are presented by Matlab software to support the theoretical results. The influence of impulsive perturbation intensity and impulsive period on the persistence and periodic solution of the system are discussed.

Keywords: impulsive effects; Floquet theory; permanence; periodic solution; globally asymptotical stability.

DOI: 10.1504/IJDSDE.2022.128122

International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.6, pp.493 - 509

Accepted: 18 Nov 2021
Published online: 06 Jan 2023 *

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