Activator-inhibitor system with delay and pattern formation
In the present paper, a description and mathematical analysis of a simple model of nonlinear pattern formation is given. The model is based on the so-called activator-inhibitor system proposed by Thomas. We introduce time delay into the reaction term and focus on its influence on morphogenesis and pattern formation. Numerical simulations are presented and compared for both cases without and with delay. (c) 2005 Elsevier Ltd. All rights reserved.
pattern formation morphogenesis reaction-diffusion equation equilibrium state stability turing instability