Abstract
Many kinds of spatio-temporal patterns appear in various fields of engineering including chemical and biological engineering. Among such spatio-temporal patterns, analyses of patterns created by the so-called self-organization are very important as basic problems in engineering, mainly because analyses of the spatio-temporal patterns in phase transitions of polymeric materials are essential to develop new materials and the analyses of epidermal patterns of animals and seashell patterns shed light on mystery in biology. In this paper, focusing on the chemotactic bacterial colony patterns as the spatio-temporal patterns created by the self-organization, we study the influence of the random disturbance on the colony formations.
