@Article{JNMA-7-2,
author = {Zhu, Zhaolei and Zhichun, Yang and Zhou, Weisong},
title = {Dynamics of an $n$-Patch Predator-Prey Model with Allee Effect},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {2},
pages = {414--428},
abstract = {<p style="text-align: justify;">A class of $n$-patch predator-prey diffusion models with the Allee
effect is established. The influence of the Allee effect and diffusion of prey on
the existence and stability of the equilibrium point are investigated. Firstly,
sufficient conditions for the permanence and extinction of the system are analyzed. Secondly, by constructing a new Lyapunov function in terms of graph
theory, we obtain a sufficient condition of the global asymptotical stability for
the positive equilibrium point. Finally, our results of this paper are verified
by Matlab simulation.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.414},
url = {https://global-sci.com/article/91804/dynamics-of-an-n-patch-predator-prey-model-with-allee-effect}
}