Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback Controls
We consider a discrete almost periodic ratio-dependent Leslie system with time delays and feedback controls. Sufficient conditions are obtained for the permanence and global attractivity of the system. Furthermore, by using an almost periodic functional Hull theory, we show that the almost periodic...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/358594 |
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| _version_ | 1832559135543001088 |
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| author | Gang Yu Hongying Lu |
| author_facet | Gang Yu Hongying Lu |
| author_sort | Gang Yu |
| collection | DOAJ |
| description | We consider a discrete almost periodic ratio-dependent Leslie
system with time delays and feedback controls. Sufficient conditions are obtained
for the permanence and global attractivity of the system. Furthermore, by using an
almost periodic functional Hull theory, we show that the almost periodic system
has a unique globally attractive positive almost periodic solution. |
| format | Article |
| id | doaj-art-54fdd1ba66e2427a93bb9de351b958fe |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-54fdd1ba66e2427a93bb9de351b958fe2025-02-03T01:30:46ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/358594358594Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback ControlsGang Yu0Hongying Lu1School of Mathematics and Quantitative Economics, Dongbei University of Finance and Economics, Dalian 116025, ChinaSchool of Mathematics and Quantitative Economics, Dongbei University of Finance and Economics, Dalian 116025, ChinaWe consider a discrete almost periodic ratio-dependent Leslie system with time delays and feedback controls. Sufficient conditions are obtained for the permanence and global attractivity of the system. Furthermore, by using an almost periodic functional Hull theory, we show that the almost periodic system has a unique globally attractive positive almost periodic solution.http://dx.doi.org/10.1155/2012/358594 |
| spellingShingle | Gang Yu Hongying Lu Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback Controls Abstract and Applied Analysis |
| title | Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback Controls |
| title_full | Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback Controls |
| title_fullStr | Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback Controls |
| title_full_unstemmed | Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback Controls |
| title_short | Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback Controls |
| title_sort | permanence and almost periodic solutions of a discrete ratio dependent leslie system with time delays and feedback controls |
| url | http://dx.doi.org/10.1155/2012/358594 |
| work_keys_str_mv | AT gangyu permanenceandalmostperiodicsolutionsofadiscreteratiodependentlesliesystemwithtimedelaysandfeedbackcontrols AT hongyinglu permanenceandalmostperiodicsolutionsofadiscreteratiodependentlesliesystemwithtimedelaysandfeedbackcontrols |