Global asymptotic properties for a Leslie-Gower food chain model

Andrei Korobeinikov; William T. Lee

doi:10.3934/mbe.2009.6.585

Global asymptotic properties for a Leslie-Gower food chain model

Andrei Korobeinikov, William T. Lee

University of Limerick

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We study global asymptotic properties of a continuous time Leslie- Gower food chain model. We construct a Lyapunov function which enables us to establish global asymptotic stability of the unique coexisting equilibrium state.

Original language	English
Pages (from-to)	585-590
Number of pages	6
Journal	Mathematical Biosciences and Engineering
Volume	6
Issue number	3
DOIs	https://doi.org/10.3934/mbe.2009.6.585
Publication status	Published - 1 Jul 2009
Externally published	Yes

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title = "Global asymptotic properties for a Leslie-Gower food chain model",

abstract = "We study global asymptotic properties of a continuous time Leslie- Gower food chain model. We construct a Lyapunov function which enables us to establish global asymptotic stability of the unique coexisting equilibrium state.",

keywords = "Global stability, Leslie-Gower model, Lyapunov function",

author = "Andrei Korobeinikov and Lee, \{William T.\}",

year = "2009",

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AU - Lee, William T.

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AB - We study global asymptotic properties of a continuous time Leslie- Gower food chain model. We construct a Lyapunov function which enables us to establish global asymptotic stability of the unique coexisting equilibrium state.

KW - Global stability

KW - Leslie-Gower model

KW - Lyapunov function

UR - https://www.scopus.com/pages/publications/70349646124

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JO - Mathematical Biosciences and Engineering

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Global asymptotic properties for a Leslie-Gower food chain model

Abstract

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