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2009 Persistence and Stability for a Generalized Leslie-Gower Model with Stage Structure and Dispersal
Hai-Feng Huo, Zhan-Ping Ma, Chun-Ying Liu
Abstr. Appl. Anal. 2009: 1-17 (2009). DOI: 10.1155/2009/135843

Abstract

A generalized version of the Leslie-Gower predator-prey model that incorporates the prey structure and predator dispersal in two-patch environments is introduced. The focus is on the study of the boundedness of solution, permanence, and extinction of the model. Sufficient conditions for global asymptotic stability of the positive equilibrium are derived by constructing a Lyapunov functional. Numerical simulations are also presented to illustrate our main results.

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Hai-Feng Huo. Zhan-Ping Ma. Chun-Ying Liu. "Persistence and Stability for a Generalized Leslie-Gower Model with Stage Structure and Dispersal." Abstr. Appl. Anal. 2009 1 - 17, 2009. https://doi.org/10.1155/2009/135843

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1181.34088
MathSciNet: MR2521130
Digital Object Identifier: 10.1155/2009/135843

Rights: Copyright © 2009 Hindawi

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