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A Monte Carlo simulation of the CO-NO heterogeneous catalytic reaction over a square surface has already been studied with a model based on the Langmuir-Hinshelwood (LH) mechanism. The results of this study are well known. Here we study the effects of transient non-thermal mobility of monomer (CO) based on precursor mechanism, diffusion of adsorbed nitrogen and oxygen atoms, on the phase diagram. The interesting feature of this model is the yield of a steady reactiw window, while simple LH mechanism is not capable of producing a steady reactive state.