On a stochastic Lotka-Volterra competitive system with distributed delay and general Lévy jumps
type: Item
instance of: scholarly article
title: On a stochastic Lotka-Volterra competitive system with distributed delay and general Lévy jumps
zbMATH Open document ID: 1400.92453
DOI: 10.1155/2016/3407463
author: Chun Lu
author: Hui Liu
author: Li-Jie Zhang
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This paper considers a stochastic competitive system with distributed delay and general Lévy jumps. Almost sufficient and necessary conditions for stability in time average and extinction of each population are established under some assumptions. And two facts are revealed: both stability in time average and extinction have closer relationships with the general Lévy jumps, firstly; and secondly, the distributed delay has no effect on the stability in time average and extinction of the stochastic system. Some simulation figures, which are obtained by the split-step \(\theta\)-method to discretize the stochastic model, are introduced to support the analytical findings.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 6953048
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/3407463
OpenAlex ID: W2562683619
Wikidata QID: Q59130855
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description: scientific article; zbMATH DE number 6953048