Existence of Positive Periodic Solutions for a Class of n-Species Competition Systems with Impulses

By using the fixed point theorem on cone, some sufficient conditions are obtained on the existence of positive periodic solutions for a class of n-species competition systems with impulses. Meanwhile, we point out that the conclusion of (Yan, 2009) is incorrect.

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Main Authors: Peilian Guo, Yansheng Liu
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2011/871693
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author Peilian Guo
Yansheng Liu
author_facet Peilian Guo
Yansheng Liu
author_sort Peilian Guo
collection DOAJ
description By using the fixed point theorem on cone, some sufficient conditions are obtained on the existence of positive periodic solutions for a class of n-species competition systems with impulses. Meanwhile, we point out that the conclusion of (Yan, 2009) is incorrect.
format Article
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institution Kabale University
issn 1687-9643
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language English
publishDate 2011-01-01
publisher Wiley
record_format Article
series International Journal of Differential Equations
spelling doaj-art-0d58628a43bc40f0a53a399e225f6f562025-02-03T05:58:41ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/871693871693Existence of Positive Periodic Solutions for a Class of n-Species Competition Systems with ImpulsesPeilian Guo0Yansheng Liu1Department of Mathematics, Shandong Normal University, Jinan 250014, ChinaDepartment of Mathematics, Shandong Normal University, Jinan 250014, ChinaBy using the fixed point theorem on cone, some sufficient conditions are obtained on the existence of positive periodic solutions for a class of n-species competition systems with impulses. Meanwhile, we point out that the conclusion of (Yan, 2009) is incorrect.http://dx.doi.org/10.1155/2011/871693
spellingShingle Peilian Guo
Yansheng Liu
Existence of Positive Periodic Solutions for a Class of n-Species Competition Systems with Impulses
International Journal of Differential Equations
title Existence of Positive Periodic Solutions for a Class of n-Species Competition Systems with Impulses
title_full Existence of Positive Periodic Solutions for a Class of n-Species Competition Systems with Impulses
title_fullStr Existence of Positive Periodic Solutions for a Class of n-Species Competition Systems with Impulses
title_full_unstemmed Existence of Positive Periodic Solutions for a Class of n-Species Competition Systems with Impulses
title_short Existence of Positive Periodic Solutions for a Class of n-Species Competition Systems with Impulses
title_sort existence of positive periodic solutions for a class of n species competition systems with impulses
url http://dx.doi.org/10.1155/2011/871693
work_keys_str_mv AT peilianguo existenceofpositiveperiodicsolutionsforaclassofnspeciescompetitionsystemswithimpulses
AT yanshengliu existenceofpositiveperiodicsolutionsforaclassofnspeciescompetitionsystemswithimpulses