ORDER AND LOCALIZATION IN REACTION-DIFFUSION PATTERN

The present work is concerned with two aspects of pattern formation: p attern localization and degree of pattern order. In reaction-diffusion models, there are three major effects. These stem from the reaction t erms, the diffusion terms and the presence or absence of precursor gra dients. Global analysis of reaction terms at late stages of pattern fo rmation is at present unavailable. Therefore, we study the effect of t he diffusion terms and of precursor gradients with numerical solution in two models: the Brusselator and the Gierer-Meinhardt. Differences i n response to changes in the diffusion terms and the precursor gradien ts are related to contrasts between the nonlinear kinetics of the two models. These models both have Hill coefficient 2; effects of higher c ooperativities have recently been discussed by Hunding and Engelhardt [1].