Year: 2024
Author: Qian Cao, Xiongxiong Bao, Xuan Yi
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 2 : pp. 392–412
Abstract
This paper deals with dynamics of a predator-prey model with Allee effect and herd behavior. We first study the stability of non-negative constant solutions for such system. We also establish the existence of Hopf bifurcation solutions for such predator-prey model. The stability and bifurcation direction of Hopf bifurcation solution in the case of spatial homogeneity are further discussed. At the same time, several examples are given by MATLAB. Finally, the numerical simulations of the system are carried out through MATLAB, which intuitively verifies and supplements the theoretical analysis results.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.392
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 2 : pp. 392–412
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Allee effect herd behavior stability analysis Hopf bifurcation numerical simulations.