Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 340789, 17 pages
http://dx.doi.org/10.1155/2012/340789
Research Article

Random Attractors for Stochastic Three-Component Reversible Gray-Scott System on Infinite Lattices

Anhui Gu,1 Zhaojuan Wang,2 and Shengfan Zhou3

1College of Science, Guilin University of Technology, Guilin 541004, China
2School of Mathematical Science, Huaiyin Normal University, Huaian 223300, China
3Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Received 13 April 2012; Accepted 29 May 2012

Academic Editor: Xiaohui Liu

Copyright © 2012 Anhui Gu et al. 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

We prove the existence of a compact random attractor for the random dynamical system generated by stochastic three-component reversible Gray-Scott system with a multiplicative white noise on infinite lattices.