Global asymptotic properties for a Leslie-Gower food chain model
We study global asymptotic properties of a continuous timeLeslie-Gower food chain model. We construct a Lyapunov function whichenables us to establish global asymptotic stability of the uniquecoexisting equilibrium state.
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| Format: | Article |
| Language: | English |
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AIMS Press
2009-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.585 |
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| _version_ | 1832590175224463360 |
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| author | Andrei Korobeinikov William T. Lee |
| author_facet | Andrei Korobeinikov William T. Lee |
| author_sort | Andrei Korobeinikov |
| collection | DOAJ |
| description | We study global asymptotic properties of a continuous timeLeslie-Gower food chain model. We construct a Lyapunov function whichenables us to establish global asymptotic stability of the uniquecoexisting equilibrium state. |
| format | Article |
| id | doaj-art-2b7de53502e7448a832edfed87e892e7 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-2b7de53502e7448a832edfed87e892e72025-01-24T01:59:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-05-016358559010.3934/mbe.2009.6.585Global asymptotic properties for a Leslie-Gower food chain modelAndrei Korobeinikov0William T. Lee1MACSI, Department of Mathematics and Statistics, University of Limerick, LimerickMACSI, Department of Mathematics and Statistics, University of Limerick, LimerickWe study global asymptotic properties of a continuous timeLeslie-Gower food chain model. We construct a Lyapunov function whichenables us to establish global asymptotic stability of the uniquecoexisting equilibrium state.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.585lyapunov functionleslie-gower modelglobal stability. |
| spellingShingle | Andrei Korobeinikov William T. Lee Global asymptotic properties for a Leslie-Gower food chain model Mathematical Biosciences and Engineering lyapunov function leslie-gower model global stability. |
| title | Global asymptotic properties for a Leslie-Gower food chain model |
| title_full | Global asymptotic properties for a Leslie-Gower food chain model |
| title_fullStr | Global asymptotic properties for a Leslie-Gower food chain model |
| title_full_unstemmed | Global asymptotic properties for a Leslie-Gower food chain model |
| title_short | Global asymptotic properties for a Leslie-Gower food chain model |
| title_sort | global asymptotic properties for a leslie gower food chain model |
| topic | lyapunov function leslie-gower model global stability. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.585 |
| work_keys_str_mv | AT andreikorobeinikov globalasymptoticpropertiesforalesliegowerfoodchainmodel AT williamtlee globalasymptoticpropertiesforalesliegowerfoodchainmodel |