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The non-equilibrium dynamic fluctuations of a stochastic version of theGray-Scott (GS) model are studied analytically in leading order in perturbationtheory by means of the dynamic renormalization group. There is an attractingstable fixed point at one-loop order, and the asymptotic scaling of thecorrelation functions is predicted for both spatial and temporally correlatednoise sources. New effective three-body reaction terms, not present in theoriginal GS model, are induced by the combined interplay of the fluctuationsand nonlinearities.

Large scale emergent properties of an autocatalytic reaction-diffusion model subject to noise