Dynamic Behavior of a Predator–Prey Model with Double Delays and Beddington–DeAngelis Functional Response

نویسندگان

چکیده

In the predator–prey system, predators can affect prey population by direct killing and predation fear. present study, we consider a delayed model with fear Beddington–DeAngelis functional response. The incorporates not only of predator on an intraspecific competition relationship, but also delay pregnancy delay. Apart from local stability analysis equilibrium points model, find that time change system cause Hopf bifurcation. Taking as bifurcation parameter, critical values delays in several cases are derived. addition, extend it to random environment study stochastic ultimate boundedness process. Finally, our theoretical results validated numerical simulation.

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ژورنال

عنوان ژورنال: Axioms

سال: 2023

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms12010073