Bifurcation analysis and chaos control of a discrete-time prey-predator model with fear factor-Reference-Cited by-同舟云学术

Bifurcation analysis and chaos control of a discrete-time prey-predator model with fear factor

Published:2022 Issue:7 Volume:19 Page:6659-6679
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Lei Ceyu¹,Han Xiaoling¹,Wang Weiming²

Affiliation:

1. Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

2. School of Mathematics Science, Huaiyin Normal University, Huaian 223300, China

Abstract

<abstract><p>In this paper, we investigate the complex dynamics of a classical discrete-time prey-predator system with the cost of anti-predator behaviors. We first give the existence and stability of fixed points of this system. And by using the central manifold theorem and bifurcation theory, we prove that the system will experience flip bifurcation and Neimark-Sacker bifurcation at the equilibrium points. Furthermore, we illustrate the bifurcation phenomenon and chaos characteristics via numerical simulations. The results may enrich the dynamics of the prey-predator systems.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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