Global Positive Periodic Solutions for Periodic Two-Species Competitive Systems with Multiple Delays and Impulses

A set of easily verifiable sufficient conditions are derived to guarantee the existence and the global stability of positive periodic solutions for two-species competitive systems with multiple delays and impulses, by applying some new analysis techniques. This improves and extends a series of the w...

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Main Authors: Zhenguo Luo, Liping Luo, Liu Yang, Yunhui Zeng
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/785653
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author Zhenguo Luo
Liping Luo
Liu Yang
Yunhui Zeng
author_facet Zhenguo Luo
Liping Luo
Liu Yang
Yunhui Zeng
author_sort Zhenguo Luo
collection DOAJ
description A set of easily verifiable sufficient conditions are derived to guarantee the existence and the global stability of positive periodic solutions for two-species competitive systems with multiple delays and impulses, by applying some new analysis techniques. This improves and extends a series of the well-known sufficiency theorems in the literature about the problems mentioned previously.
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1687-0409
language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-2ce35686a9e7441ba9bae64e75d7dea42025-08-20T02:24:18ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/785653785653Global Positive Periodic Solutions for Periodic Two-Species Competitive Systems with Multiple Delays and ImpulsesZhenguo Luo0Liping Luo1Liu Yang2Yunhui Zeng3Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, ChinaDepartment of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, ChinaDepartment of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, ChinaDepartment of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, ChinaA set of easily verifiable sufficient conditions are derived to guarantee the existence and the global stability of positive periodic solutions for two-species competitive systems with multiple delays and impulses, by applying some new analysis techniques. This improves and extends a series of the well-known sufficiency theorems in the literature about the problems mentioned previously.http://dx.doi.org/10.1155/2014/785653
spellingShingle Zhenguo Luo
Liping Luo
Liu Yang
Yunhui Zeng
Global Positive Periodic Solutions for Periodic Two-Species Competitive Systems with Multiple Delays and Impulses
Abstract and Applied Analysis
title Global Positive Periodic Solutions for Periodic Two-Species Competitive Systems with Multiple Delays and Impulses
title_full Global Positive Periodic Solutions for Periodic Two-Species Competitive Systems with Multiple Delays and Impulses
title_fullStr Global Positive Periodic Solutions for Periodic Two-Species Competitive Systems with Multiple Delays and Impulses
title_full_unstemmed Global Positive Periodic Solutions for Periodic Two-Species Competitive Systems with Multiple Delays and Impulses
title_short Global Positive Periodic Solutions for Periodic Two-Species Competitive Systems with Multiple Delays and Impulses
title_sort global positive periodic solutions for periodic two species competitive systems with multiple delays and impulses
url http://dx.doi.org/10.1155/2014/785653
work_keys_str_mv AT zhenguoluo globalpositiveperiodicsolutionsforperiodictwospeciescompetitivesystemswithmultipledelaysandimpulses
AT lipingluo globalpositiveperiodicsolutionsforperiodictwospeciescompetitivesystemswithmultipledelaysandimpulses
AT liuyang globalpositiveperiodicsolutionsforperiodictwospeciescompetitivesystemswithmultipledelaysandimpulses
AT yunhuizeng globalpositiveperiodicsolutionsforperiodictwospeciescompetitivesystemswithmultipledelaysandimpulses