4.7 Article

A Lyapunov function for Leslie-Gower predator-prey models

Journal

APPLIED MATHEMATICS LETTERS
Volume 14, Issue 6, Pages 697-699

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0893-9659(01)80029-X

Keywords

Leslie-Gower systems; Lyapunov functions; stability

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A Lyapunov function for continuous time Leslie-Gower predator-prey models is introduced. Global stability of the unique coexisting equilibrium state is thereby established. (C) 2001 Elsevier Science Ltd. All rights reserved.

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