Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps

Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps

The nonautonomous stochastic Gilpin-Ayala competition model driven by Lévy noise is considered. First, it is shown that this model has a global positive solution. Then, we discuss the asymptotic behavior of the solution including moment and pathwise estimation. Finally, sufficient conditions for ext...

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Main Authors: Yanchao Zang, Junping Li, Jiangang Liu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/978151
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spelling doaj-24a101e9bd50446bb7db653db0112cd62020-11-25T00:13:18ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/978151978151Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with JumpsYanchao Zang0Junping Li1Jiangang Liu2School of Mathematics and Statistics, Central South University, Changsha 410075, ChinaSchool of Mathematics and Statistics, Central South University, Changsha 410075, ChinaSchool of Information Science and Engineering, Central South University, Changsha 410075, ChinaThe nonautonomous stochastic Gilpin-Ayala competition model driven by Lévy noise is considered. First, it is shown that this model has a global positive solution. Then, we discuss the asymptotic behavior of the solution including moment and pathwise estimation. Finally, sufficient conditions for extinction, nonpersistence in the mean, and weak persistence of the solution are established.http://dx.doi.org/10.1155/2013/978151
collection DOAJ
language English
format Article
sources DOAJ
author Yanchao Zang
Junping Li
Jiangang Liu
spellingShingle Yanchao Zang
Junping Li
Jiangang Liu
Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps
Abstract and Applied Analysis
author_facet Yanchao Zang
Junping Li
Jiangang Liu
author_sort Yanchao Zang
title Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps
title_short Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps
title_full Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps
title_fullStr Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps
title_full_unstemmed Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps
title_sort dynamics of nonautonomous stochastic gilpin-ayala competition model with jumps
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description The nonautonomous stochastic Gilpin-Ayala competition model driven by Lévy noise is considered. First, it is shown that this model has a global positive solution. Then, we discuss the asymptotic behavior of the solution including moment and pathwise estimation. Finally, sufficient conditions for extinction, nonpersistence in the mean, and weak persistence of the solution are established.
url http://dx.doi.org/10.1155/2013/978151
work_keys_str_mv AT yanchaozang dynamicsofnonautonomousstochasticgilpinayalacompetitionmodelwithjumps
AT junpingli dynamicsofnonautonomousstochasticgilpinayalacompetitionmodelwithjumps
AT jiangangliu dynamicsofnonautonomousstochasticgilpinayalacompetitionmodelwithjumps
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