A Delay Almost Periodic Competitive System in Discrete Time

A discrete almost periodic competitive system with delay is proposed and analyzed. The system admits a unique almost periodic solution, which is shown to be uniformly asymptotically stable by using the method of Lyapunov function. Some specific numerical examples are provided to verify our analytica...

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Main Authors: Ronghua Tan, Lvli Liao
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/896816
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author Ronghua Tan
Lvli Liao
author_facet Ronghua Tan
Lvli Liao
author_sort Ronghua Tan
collection DOAJ
description A discrete almost periodic competitive system with delay is proposed and analyzed. The system admits a unique almost periodic solution, which is shown to be uniformly asymptotically stable by using the method of Lyapunov function. Some specific numerical examples are provided to verify our analytical results.
format Article
id doaj-art-cc6f02e1ba094ca787b4c77eb3dcf1f7
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-cc6f02e1ba094ca787b4c77eb3dcf1f72025-02-03T01:22:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/896816896816A Delay Almost Periodic Competitive System in Discrete TimeRonghua Tan0Lvli Liao1Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaDepartment of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaA discrete almost periodic competitive system with delay is proposed and analyzed. The system admits a unique almost periodic solution, which is shown to be uniformly asymptotically stable by using the method of Lyapunov function. Some specific numerical examples are provided to verify our analytical results.http://dx.doi.org/10.1155/2015/896816
spellingShingle Ronghua Tan
Lvli Liao
A Delay Almost Periodic Competitive System in Discrete Time
Discrete Dynamics in Nature and Society
title A Delay Almost Periodic Competitive System in Discrete Time
title_full A Delay Almost Periodic Competitive System in Discrete Time
title_fullStr A Delay Almost Periodic Competitive System in Discrete Time
title_full_unstemmed A Delay Almost Periodic Competitive System in Discrete Time
title_short A Delay Almost Periodic Competitive System in Discrete Time
title_sort delay almost periodic competitive system in discrete time
url http://dx.doi.org/10.1155/2015/896816
work_keys_str_mv AT ronghuatan adelayalmostperiodiccompetitivesystemindiscretetime
AT lvliliao adelayalmostperiodiccompetitivesystemindiscretetime
AT ronghuatan delayalmostperiodiccompetitivesystemindiscretetime
AT lvliliao delayalmostperiodiccompetitivesystemindiscretetime