Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 323065, 17 pages
doi:10.1155/2009/323065
Permanence and global attractivity of discrete predator-prey system with Hassell-Varley type functional response
Runxin Wu
and Lin Li
Department of Mathematics and Physics, Fujian University of Technology, Fuzhou, Fujian 350108, China
Abstract
By constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the discrete predator-prey system with Hassell-Varley type functional response are obtained. Example together with its numerical simulation shows that the main results are verifiable.