TY - JOUR
T1 - Dynamics of an $n$-Patch Predator-Prey Model with Allee Effect
AU - Zhu , Zhaolei
AU - Yang , Zhichun
AU - Zhou , Weisong
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 414
EP - 428
PY - 2025
DA - 2025/04
SN - 7
DO - http://doi.org/10.12150/jnma.2025.414
UR - https://global-sci.org/intro/article_detail/jnma/23981.html
KW - $n$-patch, stability, Allee effect, predation-prey model.
AB - <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>