Stochastic bifurcations, a necessary and sufficient condition for a stochastic Beddington-DeAngelis predator-prey model

DOI10.1016/j.aml.2021.107069zbMath1466.34051OpenAlexW3126784734WikidataQ115597751 ScholiaQ115597751MaRDI QIDQ2022255

Xiaoling Zou, Jingliang Lv, Qingwei Li

Publication date: 28 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107069

zbMATH Keywords

probability measurepredator-prey modeldynamic bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)

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Cites Work

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• Asymptotic properties of a stochastic SIR epidemic model with Beddington-DeAngelis incidence rate
• Persistence in stochastic Lotka-Volterra food chains with intraspecific competition
• A stochastic threshold for an epidemic model with Beddington-DeAngelis incidence, delayed loss of immunity and Lévy noise perturbation
• A note on a stochastic Holling-II predator-prey model with a prey refuge
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• Conditions for permanence and ergodicity of certain stochastic predator–prey models
• DYNAMICAL PROPERTIES OF A STOCHASTIC PREDATOR-PREY MODEL WITH FUNCTIONAL RESPONSE

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