@Article{JNMA-6-392,
author = {Cao , QianBao , Xiongxiong and Yi , Xuan},
title = {Dynamics of a Predator-Prey Model with Allee Effect and Herd Behavior},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {2},
pages = {392--412},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.392},
url = {http://global-sci.org/intro/article_detail/jnma/23182.html}
}