Global Dynamics in a Predator-Prey Model with Allee Effect  

作　　者：Tianjing Wang Fuqin Sun Tianjing Wang;Fuqin Sun(School of Sciences, Tianjin University of Technology and Education, Tianjin, China)

机构地区：[1]School of Sciences, Tianjin University of Technology and Education, Tianjin, China

出　　处：《Journal of Applied Mathematics and Physics》2024年第7期2377-2385,共9页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Bazykin Allee Effect Hopf Bifurcation 

分 类 号：O17[理学—数学]