Hybrid competitive Lotka–Volterra ecosystems: countable switching states and two-time-scale models

DOI10.1080/07362994.2018.1551141zbMath1481.60151arXiv1809.05135OpenAlexW2890102366MaRDI QIDQ5742552

Trang Bui, George Yin

Publication date: 15 May 2019

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.05135

zbMATH Keywords

singular perturbationextinctionMarkov chainpermanenceswitching diffusionLotka-Volterra modelperturbed Lyapunov method

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Diffusion processes (60J60) Ecology (92D40) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (5)

Dynamics of a stochastic Gilpin-Ayala population model with Markovian switching and impulsive perturbations ⋮ Weak convergence and stability of stochastic hybrid systems with random delay driven by a singularly perturbed Markov chain ⋮ Mean stability and \(L_1\) performance of a class of two-time-scale Markov jump linear systems ⋮ Homogenized first-moment analysis of two-time-scale positive Markov jump linear systems ⋮ Dynamics of a multi-species lottery competition model in stochastic environments

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