Stationary distribution of stochastic population dynamics in state-dependent random environments
type: Item
instance of: scholarly article
title: Stationary distribution of stochastic population dynamics in state-dependent random environments
zbMATH Open document ID: 1458.92062
author: Huijie Ji
author: Fubao Xi
published in: Systems \& Control Letters
publication date: 2021-01-06T00:00:00Z
review text: This study focuses on the Lotka-Volterra stochastic population systems in random state-dependent environments that are characterized by a stochastic differential equation (SDE). The authors emphasize the ergodicity and positive recurrence of SDEs with regime-switching, from which the existence and uniqueness of a stationary distribution follows. A stochastic comparison approach is presented for controlling state-dependent regime-switching processes with a finite state space. To ensure sufficient conditions for ergodicity and positive repeatability, the M-matrix theory is used and the average value of the stationary distribution of the population system is investigated. At the end of the article, a numerical example is presented to illustrate the results obtained.
reviewed by: Fatima T. Adylova
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 7290541
zbMATH Keywords: state-dependence
zbMATH Keywords: regime-switching
zbMATH Keywords: Lotka-Volterra model
zbMATH Keywords: stationary distribution
zbMATH Keywords: stochastic comparison
MaRDI profile type: Publication
full work available at URL: j.sysconle.2020.104774
OpenAlex ID: W3082998426
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DOI: 10.1016/J.SYSCONLE.2020.104774
description: scientific article; zbMATH DE number 7290541