STABILITY AND BIFURCATION IN A PREDATOR–PREY MODEL WITH PREY REFUGE-Reference-Cited by-同舟云学术

STABILITY AND BIFURCATION IN A PREDATOR–PREY MODEL WITH PREY REFUGE

Published:2023-05-26 Issue:02 Volume:31 Page:417-435
ISSN:0218-3390
Container-title:Journal of Biological Systems
language:en
Short-container-title:J. Biol. Syst.

Author:

CHEN WENCHANG¹,YU HENGGUO¹,DAI CHUANJUN²,GUO QING²³,LIU HE²⁴,ZHAO MIN²⁵

Affiliation:

1. School of Mathematics and Physics, Wenzhou University, Wenzhou, Zhejiang 325035, P. R. China

2. School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, P. R. China

3. Environmental Engineering Program, University of Northern British Columbia, Prince George Canada V2N 4Z9, Canada

4. Environmental Engineering Program, University of Northern British Columbia, Prince George, Canada V2N 4Z9, Canada

5. Key Laboratory for Subtropical, Oceans and Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou, Zhejiang 325035, P. R. China

Abstract

In this paper, a predator–prey model with prey refuge was developed to investigate how prey refuge affect the dynamics of predator–prey interaction. We studied the existence and stability of equilibria, and then derived the sufficient conditions for the bifurcation such as saddle-node, transcritical, Hopf and Bogdanov–Takens bifurcation. In addition, a series of numerical simulations were carried out to illustrate the theoretical analysis, and the numerical results are consistent with the analytical results. Our results demonstrate that prey refuge has a great impact on the predator–prey dynamics.

Funder

the National Key Research and Development Program of China

the National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology,Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218339023500146

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