Autocatalysis mixed order

We now consider an unstirred system where diffusion plays an important role. The reaction-diffusion equations for mixed-order autocatalysis have the form... 

This diffusive instability mechanism has only recently been examined in reaction-diffusion systems. Continuing with the analogy between isothermal fronts and nonisothermal flames, we pursue the case where > 1 in Equations (4). Thus, the front is destabilized when the diffusivity of the reactant A becomes sufficiently larger than that of the autocatalyst B. We consider systems with pure cubic autocatalysis here in a detailed study [12], pure quadratic and mixed-order fronts are also considered and found to have different sensitivities to the destabilizing effects of diffusion. 

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