TITLE:
Global Dynamics in a Predator-Prey Model with Allee Effect
AUTHORS:
Tianjing Wang, Fuqin Sun
KEYWORDS:
Bazykin, Allee Effect, Hopf Bifurcation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.7,
July
16,
2024
ABSTRACT: Since the last century, various predator-prey systems have garnered widespread attention. In particular, the predator-prey systems have sparked significant interest among applied mathematicians and ecologists. From the perspectives of both mathematics and biology, a predator-prey system with the Allee effect and featuring the Bazykin functional response has been established. For this model, analyses have been conducted on its boundedness, the properties of its solutions, the existence of equilibrium points, as well as its local stability and Hopf bifurcations.