Abstract and Applied Analysis

Persistence and Stability for a Generalized Leslie-Gower Model with Stage Structure and Dispersal

Hai-Feng Huo, Zhan-Ping Ma, and Chun-Ying Liu

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2009 (2009), Article ID 135843, 17 pages.

Dates
First available in Project Euclid: 16 March 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1268745581

Digital Object Identifier
doi:10.1155/2009/135843

Mathematical Reviews number (MathSciNet)
MR2521130

Zentralblatt MATH identifier
1181.34088

Citation

Huo, Hai-Feng; Ma, Zhan-Ping; Liu, Chun-Ying. Persistence and Stability for a Generalized Leslie-Gower Model with Stage Structure and Dispersal. Abstr. Appl. Anal. 2009 (2009), Article ID 135843, 17 pages. doi:10.1155/2009/135843. https://projecteuclid.org/euclid.aaa/1268745581


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