Bifurcationing Analysis of Predator-Prey Diffusive System Based on Bazykin Functional Response  

作　　者：Mingyang Zhao Fuqin Sun Mingyang Zhao;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》2022年第12期3836-3842,共7页应用数学与应用物理（英文）

摘　　要：A predator-prey diffusion system with a Bazykin functional response is studied. The existence of equilibrium points, the stability of normal number equilibrium points and the existence of Hopf bifurcationes are investigated for the proposed system, the existence of positive solutions in the system is discussed under Neumann boundary conditions, and the stability of constant equilibrium points is focused on under the condition of Hurwitz criterion. The results show that there exist positive equilibrium points in the system under Neumann boundary conditions, and the normal number equilibrium points are stable when specific conditions are satisfied, and the bifurcation points of Hopf bifurcationes and their orders are given.A predator-prey diffusion system with a Bazykin functional response is studied. The existence of equilibrium points, the stability of normal number equilibrium points and the existence of Hopf bifurcationes are investigated for the proposed system, the existence of positive solutions in the system is discussed under Neumann boundary conditions, and the stability of constant equilibrium points is focused on under the condition of Hurwitz criterion. The results show that there exist positive equilibrium points in the system under Neumann boundary conditions, and the normal number equilibrium points are stable when specific conditions are satisfied, and the bifurcation points of Hopf bifurcationes and their orders are given.

关 键 词：Bazykin Functional Response Diffusion System EXISTENCE STABILITY Hopf Bifurcation 

分 类 号：O17[理学—数学]