Abstract
Many space and/or time patterns are observed in the various fields of enginering. For example, the spiral and target patterns in Belousov-Zhabotinski(BZ) reaction and the orderly convection pattern like scrolls or polygons in the Rayley-Benard convection are well-known as the typical examples of the pattern formations. Up to date, the excellent works of the pattern formations have been performed, however, models in the pattern formations were considered in the deterministic framework. In a realistic situation, the disturbance exists in greater or lesser degree. So, in this paper, taking the disturbance into consideration, we study the stochastic modeling of BZ reaction and the influence of the disturbance on the pattern formations through the digital simulation experiments.