On the Number of Stationary Patterns in Reaction-Diffusion Systems

Abstrakt

We study systems of two nonlinear reaction-diffusion partial differential equations undergoing diffusion driven instability. Such systems may have spatially inhomogeneous stationary solutions called Turing patterns.

These solutions are typically non-unique and it is not clear how many of them exists. Since there are no analytical results available, we look for the number of distinct stationary solutions numerically.

As a typical example, we investigate the reaction-diffusion system designed to model coat patterns in leopard and jaguar.

Klíčová slova

• Diffusion driven instability
• Turing patterns
• classification of non-unique solutions