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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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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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 |