Periodic Solutions of Multispecies Mutualism System with Infinite Delays

Periodic Solutions of Multispecies Mutualism System with Infinite Delays

We studied the delayed periodic mutualism system with Gilpin-Ayala effect. Some new and interesting sufficient conditions are obtained to guarantee the existence of periodic solution for the multispecies mutualism system with infinite delays. Our method is based on Mawhin's coincidence degree....

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Main Authors: Wenbo Zhao, Caocuan Ma, Taotao Zheng, Xiao-Ke Sun
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/127876
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spelling doaj-a59f7776a3f941f38e6e828b1292eb732020-11-25T00:44:47ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/127876127876Periodic Solutions of Multispecies Mutualism System with Infinite DelaysWenbo Zhao0Caocuan Ma1Taotao Zheng2Xiao-Ke Sun3School of Physics and Information, Tianshui Normal University, Tianshui, Gansu 741000, ChinaSchool of Mathematics and Statistics, Tianshui Normal University, Tianshui, Gansu 741000, ChinaDepartment of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310000, ChinaSchool of Mathematics and Statistics, Tianshui Normal University, Tianshui, Gansu 741000, ChinaWe studied the delayed periodic mutualism system with Gilpin-Ayala effect. Some new and interesting sufficient conditions are obtained to guarantee the existence of periodic solution for the multispecies mutualism system with infinite delays. Our method is based on Mawhin's coincidence degree. To the best knowledge of the authors, there is no paper considering the existence of periodic solutions for n-species mutualism system with infinite delays.http://dx.doi.org/10.1155/2014/127876
collection DOAJ
language English
format Article
sources DOAJ
author Wenbo Zhao
Caocuan Ma
Taotao Zheng
Xiao-Ke Sun
spellingShingle Wenbo Zhao
Caocuan Ma
Taotao Zheng
Xiao-Ke Sun
Periodic Solutions of Multispecies Mutualism System with Infinite Delays
Abstract and Applied Analysis
author_facet Wenbo Zhao
Caocuan Ma
Taotao Zheng
Xiao-Ke Sun
author_sort Wenbo Zhao
title Periodic Solutions of Multispecies Mutualism System with Infinite Delays
title_short Periodic Solutions of Multispecies Mutualism System with Infinite Delays
title_full Periodic Solutions of Multispecies Mutualism System with Infinite Delays
title_fullStr Periodic Solutions of Multispecies Mutualism System with Infinite Delays
title_full_unstemmed Periodic Solutions of Multispecies Mutualism System with Infinite Delays
title_sort periodic solutions of multispecies mutualism system with infinite delays
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We studied the delayed periodic mutualism system with Gilpin-Ayala effect. Some new and interesting sufficient conditions are obtained to guarantee the existence of periodic solution for the multispecies mutualism system with infinite delays. Our method is based on Mawhin's coincidence degree. To the best knowledge of the authors, there is no paper considering the existence of periodic solutions for n-species mutualism system with infinite delays.
url http://dx.doi.org/10.1155/2014/127876
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AT caocuanma periodicsolutionsofmultispeciesmutualismsystemwithinfinitedelays
AT taotaozheng periodicsolutionsofmultispeciesmutualismsystemwithinfinitedelays
AT xiaokesun periodicsolutionsofmultispeciesmutualismsystemwithinfinitedelays
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