Dynamic analysis of a Leslie-Gower predator-prey model with the fear effect and nonlinear harvesting-Reference-Cited by-同舟云学术

Dynamic analysis of a Leslie-Gower predator-prey model with the fear effect and nonlinear harvesting

Published:2023 Issue:10 Volume:20 Page:18592-18629
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Wu Hongqiuxue¹,Li Zhong¹,He Mengxin²

Affiliation:

1. School of Mathematics and Statistics, Fuzhou University, Fuzhou 350108, Fujian, China

2. College of Mathematics and Data Science, Minjiang University, Fuzhou 350108, Fujian, China

Abstract

<abstract><p>In this paper, we investigate the stability and bifurcation of a Leslie-Gower predator-prey model with a fear effect and nonlinear harvesting. We discuss the existence and stability of equilibria, and show that the unique equilibrium is a cusp of codimension three. Moreover, we show that saddle-node bifurcation and Bogdanov-Takens bifurcation can occur. Also, the system undergoes a degenerate Hopf bifurcation and has two limit cycles (i.e., the inner one is stable and the outer is unstable), which implies the bistable phenomenon. We conclude that the large amount of fear and prey harvesting are detrimental to the survival of the prey and predator.</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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