Abstract
This paper is concerned with an analysis of the influence of the random noise on pattern formations in the Turing system in bounded domains. Excellent works in analysis of pattern formations have been performed in the past, however, models in such an analysis were considered in a deterministic framework. So, we cannot analyze the influence of disturbances such as impurities and obstacles in chemical substances on pattern formations using deterministic models. In this paper, focusing our attention on pattern formations in the Turing system, and taking disturbances into consideration, we will propose the stochastic model of the Turing system and study the influence of disturbances on pattern formations by digital simulation experiments.
