Stability analysis of Turing patterns generated by the Schnakenberg model
Abstract.We consider the following Schnakenberg model on the interval (-1,1): where We rigorously show that the stability of symmetric N-peaked steady-states can be reduced to computing two matrices in terms of the diffusion coefficients D1, D2 and the number N of peaks. These matrices and their spectra are calculated explicitly and sharp conditions for linear stability are derived. The results are verified by some numerical simulations.