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Ma, T. and Meng, X. (2022) Global Analysis and Hopf-Bifurcation in a Cross-Diffusion Prey-Predator System with Fear Effect and Predator Cannibalism. Mathematical Biosciences and Engineering, 19, 6040-6071.
https://doi.org/10.3934/mbe.2022282

has been cited by the following article:

• TITLE: Hopf Bifurcation in a Diffusive Predator-Prey Model with Predation-Driven Allee Effect and Gestation Time Delay

  AUTHORS: Pengyu Liu, Ruizhi Yang

  KEYWORDS: Prey-Predator, Allee Effect, Stability, Hopf Bifurcation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.4, April 22, 2025

  ABSTRACT: In this paper, a diffusive predator-prey system with predation-driven Allee effect and delay is considered. The effect of time delay on the model, including stability of the positive equilibrium and Hopf bifurcation is studied. To validate our theoretical analysis results, some numerical simulations are realized. The research results indicate that time delay can affect the stability of coexisting equilibrium points and cause periodic oscillations in predator and prey density.