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