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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Main Authors: Andrei Korobeinikov, William T. Lee
Format: Article
Language:English
Published: AIMS Press 2009-05-01
Series:Mathematical Biosciences and Engineering
Subjects:
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
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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