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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/380612 |
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| _version_ | 1832549134090895360 |
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| author | Zengji Du Wenbin Li |
| author_facet | Zengji Du Wenbin Li |
| author_sort | Zengji Du |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-f5c0dd752b0643a2964c5bf9b321b6f3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f5c0dd752b0643a2964c5bf9b321b6f32025-02-03T06:12:10ZengWileyAbstract 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 |
| spellingShingle | Zengji Du Wenbin Li Almost Periodic Sequence Solutions of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response Abstract and Applied Analysis |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/380612 |
| work_keys_str_mv | AT zengjidu almostperiodicsequencesolutionsofadiscretepredatorpreysystemwithbeddingtondeangelisfunctionalresponse AT wenbinli almostperiodicsequencesolutionsofadiscretepredatorpreysystemwithbeddingtondeangelisfunctionalresponse |