Stability and Bifurcation Analysis in a Nonlocal Diffusive Predator-Prey Model with Hunting Cooperation
Year: 2023
Author: Chaozhi Zhu, Yahong Peng
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 1 : pp. 95–107
Abstract
In this paper, we propose a diffusive predator-prey model with hunting cooperation and nonlocal competition. Under a rather general selection of the kernel function, we first study the stability of the positive equilibrium of the model. Then, we obtain the conditions which Hopf bifurcation and Turing bifurcation occur. Our results show that nonlocal competition plays an important role in determining the dynamics of the model.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.95
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 1 : pp. 95–107
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Predator-prey system Nonlocal competition Stability Hopf bifurcation Turing bifurcation.