Almost Periodic Sequence Solutions of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response

This paper considers a discrete predator-prey system with Beddington-DeAngelis functional response. Sufficient conditions are obtained for the existence of the almost periodic solution which is uniformly asymptotically stable by constructing a Lyapunov function.

Bibliographic Details
Main Authors: Zengji Du, Wenbin Li
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/380612
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spelling doaj-f5c0dd752b0643a2964c5bf9b321b6f32020-11-24T20:40:40ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/380612380612Almost Periodic Sequence Solutions of a Discrete Predator-Prey System with Beddington-DeAngelis Functional ResponseZengji Du0Wenbin Li1School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, ChinaSchool of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, ChinaThis paper considers a discrete predator-prey system with Beddington-DeAngelis functional response. Sufficient conditions are obtained for the existence of the almost periodic solution which is uniformly asymptotically stable by constructing a Lyapunov function.http://dx.doi.org/10.1155/2014/380612
collection DOAJ
language English
format Article
sources DOAJ
author Zengji Du
Wenbin Li
spellingShingle Zengji Du
Wenbin Li
Almost Periodic Sequence Solutions of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response
Abstract and Applied Analysis
author_facet Zengji Du
Wenbin Li
author_sort Zengji Du
title Almost Periodic Sequence Solutions of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response
title_short Almost Periodic Sequence Solutions of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response
title_full Almost Periodic Sequence Solutions of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response
title_fullStr Almost Periodic Sequence Solutions of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response
title_full_unstemmed Almost Periodic Sequence Solutions of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response
title_sort almost periodic sequence solutions of a discrete predator-prey system with beddington-deangelis functional response
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description This paper considers a discrete predator-prey system with Beddington-DeAngelis functional response. Sufficient conditions are obtained for the existence of the almost periodic solution which is uniformly asymptotically stable by constructing a Lyapunov function.
url http://dx.doi.org/10.1155/2014/380612
work_keys_str_mv AT zengjidu almostperiodicsequencesolutionsofadiscretepredatorpreysystemwithbeddingtondeangelisfunctionalresponse
AT wenbinli almostperiodicsequencesolutionsofadiscretepredatorpreysystemwithbeddingtondeangelisfunctionalresponse
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