TY - JOUR
T1 - Stability and Bifurcation Analysis in a Nonlocal Diffusive Predator-Prey Model with Hunting Cooperation
AU - Zhu , Chaozhi
AU - Peng , Yahong
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 95
EP - 107
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.95
UR - https://global-sci.org/intro/article_detail/jnma/21918.html
KW - Predator-prey system, Nonlocal competition, Stability, Hopf bifurcation, Turing bifurcation.
AB - <p style="text-align: justify;">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.</p>