Open AccessDIFFUSION‐DRIVEN INSTABILITY IN THE GIERER‐MEINHARDT MODEL OF MORPHOGENESIS
Author(s) -
Ruan Shigui
Publication year - 1998
Publication title -
natural resource modeling
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.28
H-Index - 32
eISSN - 1939-7445
pISSN - 0890-8575
DOI - 10.1111/j.1939-7445.1998.tb00304.x
Subject(s) - homogeneous , instability , diffusion , morphogenesis , pattern formation , physics , mathematics , mechanics , classical mechanics , statistical physics , thermodynamics , chemistry , biology , biochemistry , genetics , gene
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.