Global asymptotic properties of a stochastic model of population growth

DOI10.1016/j.aml.2021.107429zbMath1472.92182arXiv2009.13332OpenAlexW3165858944MaRDI QIDQ2235024

Andrei Korobeinikov, Leonid Shaikhet

Publication date: 19 October 2021

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

Full work available at URL: https://arxiv.org/abs/2009.13332

zbMATH Keywords

oscillationextinctiondirect Lyapunov methodstochastic perturbationsstabilization by noisestability in probability

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stochastic stability in control theory (93E15)

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Cites Work

• Analysis of autonomous Lotka-Volterra competition systems with random perturbation
• Permanence of stochastic Lotka-Volterra systems
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• Stability of regime-switching stochastic differential equations
• A geometric method for asymptotic properties of the stochastic Lotka-Volterra model
• Asymptotic properties of a stochastic Lotka-Volterra cooperative system with impulsive perturbations
• Phase transitions and spatio-temporal fluctuations in stochastic lattice Lotka-Volterra models
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