Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays
A nonautonomous Leslie-Gower type food chain model with time delays is investigated. It is proved the general nonautonomous system is permanent and globally asymptotically stable under some appropriate conditions. Furthermore, if the system is periodic one, some sufficient conditions are established...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/380279 |
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| _version_ | 1832551030343073792 |
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| author | Hongying Lu Weiguo Wang |
| author_facet | Hongying Lu Weiguo Wang |
| author_sort | Hongying Lu |
| collection | DOAJ |
| description | A nonautonomous Leslie-Gower type food chain model with time delays is investigated. It is proved the general nonautonomous system is permanent and globally asymptotically stable under some appropriate conditions. Furthermore, if the system is periodic one, some sufficient conditions are established, which guarantee the existence, uniqueness, and global asymptotic stability of a positive periodic solution of the system. The conditions for the permanence, global stability of system, and the existence, uniqueness of positive periodic solution depend on delays; so, time delays are profitless. |
| format | Article |
| id | doaj-art-2b1bb98ff3ae4348b09b17564ea36f53 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-2b1bb98ff3ae4348b09b17564ea36f532025-02-03T06:05:00ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/380279380279Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with DelaysHongying Lu0Weiguo Wang1School of Mathematics and Quantitative Economics, Dongbei University of Finance & Economics, Dalian, Liaoning 116025, ChinaSchool of Mathematics and Quantitative Economics, Dongbei University of Finance & Economics, Dalian, Liaoning 116025, ChinaA nonautonomous Leslie-Gower type food chain model with time delays is investigated. It is proved the general nonautonomous system is permanent and globally asymptotically stable under some appropriate conditions. Furthermore, if the system is periodic one, some sufficient conditions are established, which guarantee the existence, uniqueness, and global asymptotic stability of a positive periodic solution of the system. The conditions for the permanence, global stability of system, and the existence, uniqueness of positive periodic solution depend on delays; so, time delays are profitless.http://dx.doi.org/10.1155/2011/380279 |
| spellingShingle | Hongying Lu Weiguo Wang Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays Discrete Dynamics in Nature and Society |
| title | Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays |
| title_full | Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays |
| title_fullStr | Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays |
| title_full_unstemmed | Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays |
| title_short | Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays |
| title_sort | dynamics of a nonautonomous leslie gower type food chain model with delays |
| url | http://dx.doi.org/10.1155/2011/380279 |
| work_keys_str_mv | AT hongyinglu dynamicsofanonautonomouslesliegowertypefoodchainmodelwithdelays AT weiguowang dynamicsofanonautonomouslesliegowertypefoodchainmodelwithdelays |