Dynamics and stability of spike-type solutions to a one dimensional Gierer-Meinhardt model with sub-diffusion

► Novel properties of fully non-linear sub-diffusive spike patterns. ► Asymptotically smaller, more realistic diffusivity ratios to sustain patterns. ► Algebraic instead of exponential approach of quasi-equilibria. ► Atypical, fractional non-local eigenvalue problem. ► Domination of instability modes normally considered sub-dominant.