QUALITATIVE ANALYSIS OF STOCHASTIC RATIO-DEPENDENT PREDATOR-PREY SYSTEMS

DOI10.11948/2156-907X.20170230zbMath1465.92090OpenAlexW3020132621MaRDI QIDQ5859375

Daqing Jiang, Yanan Zhao, Chunyan Ji

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2156-907x.20170230

zbMATH Keywords

extinctionstationary distributionstochastic ratio-dependent predator-prey systempersistence in time average

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stochastic functional-differential equations (34K50) Ordinary differential equations and systems with randomness (34F05)

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Probabilistic mechanisms of the noise-induced oscillatory transitions in a Leslie type predator-prey model

Cites Work

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• Analysis of a stochastic ratio-dependent predator-prey model driven by Lévy noise
• Stationary distribution of stochastic population systems under regime switching
• Analysis of non-autonomous stochastic Gompertz model with delay
• Dynamic of a stochastic predator-prey population
• Uniqueness of periodic solutions of a nonautonomous density-dependent predator-prey system
• Qualitative analysis of a stochastic ratio-dependent predator-prey system
• The effect of mutual interference between predators on a predator-prey model with diffusion
• Permanence of predator-prey system with periodic coefficients
• Permanence, extinction and periodic solution of predator-prey system with Beddington-DeAngelis functional response
• Global qualitative analysis of a ratio-dependent predator-prey system
• Global dynamics of a ratio-dependent predator-prey system
• Parametric analysis of the ratio-dependent predator-prey model
• Periodic solution for stochastic non-autonomous multispecies Lotka-Volterra mutualism type ecosystem
• Dynamics of a class of nonautonomous semi-ratio-dependent predator--prey systems with functional responses
• Permanence in nonautonomous Lotka-Volterra system with predator-prey
• A stochastic ratio-dependent predator-prey model under regime switching
• Existence of stationary distributions for Kolmogorov systems of competitive type under telegraph noise
• Asymptotic behavior of a stochastic Gilpin-Ayala predator-prey system with time-dependent delay
• Periodic solution for a non-autonomous Lotka-Volterra predator-prey model with random perturbation
• Stochastic population dynamics under regime switching
• On stability in distribution of stochastic differential delay equations with Markovian switching
• Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
• Heteroclinic bifurcation in a ratio-dependent predator-prey system
• The threshold between permanence and extinction for a stochastic logistic model with regime switching
• Periodic Time-Dependent Predator-Prey Systems
• Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
• DETERMINISTIC AND STOCHASTIC ANALYSIS OF A NONLINEAR PREY-PREDATOR SYSTEM
• Dynamics of a non-autonomous ratio-dependent predator—prey system
• Heteroclinic Bifurcation in the Michaelis–Menten-Type Ratio-Dependent Predator-Prey System
• Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system