Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 393729, 9 pages
http://dx.doi.org/10.1155/2013/393729
Research Article

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

Runxin Wu and Lin Li

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

Received 6 November 2012; Revised 18 February 2013; Accepted 19 February 2013

Academic Editor: M. De la Sen

Copyright © 2013 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.

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-Holling III type functional response are obtained. An example together with its numerical simulation shows that the main results are verifiable.