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

Hai-Feng Huo; Zhan-Ping Ma; Chun-Ying Liu

doi:10.1155/2009/135843

Abstract and Applied Analysis (Jan 2009)

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

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

Affiliations

Hai-Feng Huo: Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
Zhan-Ping Ma: College of Mathematics and Computer Science, Dali University, Dali, Yunnan 671003, China
Chun-Ying Liu: Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China

DOI: https://doi.org/10.1155/2009/135843
Journal volume & issue: Vol. 2009

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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