Abstract and Applied Analysis
Volume 2009 (2009), Article ID 135843, 17 pages
doi:10.1155/2009/135843
Persistence and stability for a generalized Leslie-Gower model with stage structure and dispersal
Hai-Feng Huo1
, Zhan-Ping Ma2
and Chun-Ying Liu1
1Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
2College of Mathematics and Computer Science, Dali University, Dali, Yunnan 671003, China
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.