@Article{JNMA-7-1,
author = {Miqin, Chen and Yang, Wensheng},
title = {Role of Cooperative Hunting among Predators and Predator-Dependent Prey Refuge Behavior in a Predator-Prey Model},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {1},
pages = {209--228},
abstract = {<p style="text-align: justify;">The investigation of predator cooperative hunting and prey refuge
is crucial for understanding ecological dynamics. In recent years, the role
of cooperative hunting or prey refuge in predator-prey systems has received
much attention from researchers. However, the study on the combined effects
of predator cooperation and predator-dependent prey refuge in the predation
system has not yet been investigated. Therefore, in this paper, we propose a
prey-predator model with both the factors of predator-dependent prey refuge
and cooperative hunting. The positivity and boundedness of the system’s
solutions are investigated, followed by the existence and local stability of the
equilibrium points. Sufficient conditions for the existence of Hopf bifurcation
of the system are obtained. The direction of Hopf bifurcation in the system is
investigated by using the center manifold theorem and normal form method.
From the analysis of the model, we find that the dependence coefficient $m$ of
the prey refuge ratio on the number of predators may be responsible for the
stability of the system. The results also indicate that suitable competition
coefficients $s$ and cooperative hunting coefficients $\alpha$ between predators may
enable the species to coexist in the long run. Furthermore, we observe two limit
cycles of the system when the parameters satisfy certain conditions. Finally,
the dynamical behavior of the model is performed through intriguing numerical
simulations.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.209},
url = {https://global-sci.com/article/91688/role-of-cooperative-hunting-among-predators-and-predator-dependent-prey-refuge-behavior-in-a-predator-prey-model}
}