Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 323065, 17 pages
Research Article

Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response

Department of Mathematics and Physics, Fujian University of Technology, Fuzhou, Fujian 350108, China

Received 25 February 2009; Accepted 4 April 2009

Academic Editor: Leonid Berezansky

Copyright © 2009 Runxin Wu and Lin Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.