TY - JOUR
T1 - Dynamics of a Predator-Prey Model with Allee Effect and Herd Behavior
AU - Cao , Qian
AU - Bao , Xiongxiong
AU - Yi , Xuan
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 392
EP - 412
PY - 2024
DA - 2024/06
SN - 6
DO - http://doi.org/10.12150/jnma.2024.392
UR - https://global-sci.org/intro/article_detail/jnma/23182.html
KW - Allee effect, herd behavior, stability analysis, Hopf bifurcation,
numerical simulations.
AB - <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>