Dynamical Behavior of the Stochastic Delay Mutualism System

Dynamical Behavior of the Stochastic Delay Mutualism System

We discuss the dynamical behavior of the stochastic delay three-specie mutualism system. We develop the technique for stochastic differential equations to deal with the asymptotic property. Using it we obtain the existence of the unique positive solution, the asymptotic properties, and the nonpersis...

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Main Authors: Peiyan Xia, Daqing Jiang, Xiaoyue Li
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/781394
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spelling doaj-494ae9ee63014377b8695c722c0fe7da2020-11-24T20:47:57ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/781394781394Dynamical Behavior of the Stochastic Delay Mutualism SystemPeiyan Xia0Daqing Jiang1Xiaoyue Li2School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, ChinaWe discuss the dynamical behavior of the stochastic delay three-specie mutualism system. We develop the technique for stochastic differential equations to deal with the asymptotic property. Using it we obtain the existence of the unique positive solution, the asymptotic properties, and the nonpersistence. Finally, we give the numerical examinations to illustrate our results.http://dx.doi.org/10.1155/2014/781394
collection DOAJ
language English
format Article
sources DOAJ
author Peiyan Xia
Daqing Jiang
Xiaoyue Li
spellingShingle Peiyan Xia
Daqing Jiang
Xiaoyue Li
Dynamical Behavior of the Stochastic Delay Mutualism System
Abstract and Applied Analysis
author_facet Peiyan Xia
Daqing Jiang
Xiaoyue Li
author_sort Peiyan Xia
title Dynamical Behavior of the Stochastic Delay Mutualism System
title_short Dynamical Behavior of the Stochastic Delay Mutualism System
title_full Dynamical Behavior of the Stochastic Delay Mutualism System
title_fullStr Dynamical Behavior of the Stochastic Delay Mutualism System
title_full_unstemmed Dynamical Behavior of the Stochastic Delay Mutualism System
title_sort dynamical behavior of the stochastic delay mutualism system
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We discuss the dynamical behavior of the stochastic delay three-specie mutualism system. We develop the technique for stochastic differential equations to deal with the asymptotic property. Using it we obtain the existence of the unique positive solution, the asymptotic properties, and the nonpersistence. Finally, we give the numerical examinations to illustrate our results.
url http://dx.doi.org/10.1155/2014/781394
work_keys_str_mv AT peiyanxia dynamicalbehaviorofthestochasticdelaymutualismsystem
AT daqingjiang dynamicalbehaviorofthestochasticdelaymutualismsystem
AT xiaoyueli dynamicalbehaviorofthestochasticdelaymutualismsystem
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