Standing wave-like patterns in the Gray-Scott model

Abstract

Standing wave-like patterns are obtained in the Gray-Scott model when the dynamics that correspond to defect-mediated turbulence for equal diffusivities interact with a Turing instability. The Turing instability can be caused by either differential or cross-diffusion. We compare results with the Oregonator model, for which standing wave-like patterns are also observed under similar conditions.