Complicate dynamical analysis of a discrete predator-prey model with a prey refuge-Reference-Cited by-同舟云学术

Complicate dynamical analysis of a discrete predator-prey model with a prey refuge

Published:2023 Issue:7 Volume:8 Page:15035-15057
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Khan A. Q.¹,Alsulami Ibraheem M.²

Affiliation:

1. Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan

2. Department of Mathematical Science, Faculty of Applied Science, Umm Al-Qura University, Makkah 21955, Saudi Arabia

Abstract

<abstract><p>In this paper, some complicated dynamic characteristics are formulated for a discrete predator-prey model with a prey refuge. After studying the local dynamical properties about fixed points, our main purpose is to investigate condition(s) for the occurrence of flip and hopf bifurcations, respectively. Further, by the bifurcation theory, we have studied flip bifurcation at boundary fixed point, and flip and hopf bifurcations at interior fixed point of the discrete model. We have also studied chaos by state feedback control strategy. Furthermore, theoretical results are numerically verified. Finally, we have also discussed the influence of prey refuge in the discrete model.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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