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.