Global asymptotic stability of stochastic nonautonomous Lotka-Volterra models with infinite delay
type: Item
instance of: scholarly article
title: Global asymptotic stability of stochastic nonautonomous Lotka-Volterra models with infinite delay
zbMATH Open document ID: 1295.34087
DOI: 10.1155/2013/351676
author: Fengying Wei
author: Yuhua Cai
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: A class of general stochastic nonautonomous Lotka-Volterra models with infinite delay is investigated. By constructing several suitable Lyapunov functions, the existence and uniqueness of a global positive solution and global asymptotic stability are obtained. Further, the solution asymptotically follows a normal distribution by means of linearizing the stochastic differential equation. Moment estimations in time average are derived to improve the approximation distribution. Finally, numerical simulations are given to illustrate our conclusions.
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6306680
zbMATH Keywords: Lyapunov functions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/351676
OpenAlex ID: W2159567412
Wikidata QID: Q58916015
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description: scientific article; zbMATH DE number 6306680