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Song, Y. and Tang, X. (2017) Stability, Steady-State Bifurcation, and Turing Patterns in Predator-Prey System with Herd Behavior and Prey-Taxis. Studies in Applied Mathematics, 139, 371-404.
https://doi.org/10.1111/sapm.12165

has been cited by the following article:

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

  AUTHORS: Mingyang Zhao, Fuqin Sun

  KEYWORDS: Bazykin Functional Response, Diffusion System, Existence, Stability, Hopf Bifurcation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.12, December 30, 2022

  ABSTRACT: 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.