DIFFUSION-DRIVEN INSTABILITY
IN THE GIERER-MEINHARDT MODEL
OF MORPHOGENESIS

SHIGUI RUAN

Abstract:

In this paper, we consider the Gierer-Meinhardt model of morphogenesis. It is shown that the homogeneous equilibrium solution and the homogeneous periodic solution become diffusively unstable if the diffusion coefficients of the two substances are chosen suitably.