An original kinetic model has been used to describe the performance of an original CuO-ZnO-ZrO2@SAPO-11 bifunctional catalyst on the one-stage synthesis of dimethyl ether (DME) from CO/CO2 hydrogenation. The model considers that certain individual reactions (the synthesis of methanol and the reverse water gas shift) occur in the metallic function (core) of the catalyst particle, whereas others (methanol dehydration) take place in the shell (acid function), and that the progress of these reactions is conditioned by the diffusion of the components. The kinetic parameters of the individual reactions and the deactivation kinetics have been calculated from experimental data obtained in a wide conditions range (H-2/COx ratio, 2.5-4; CO2/COx ratio, 0-1; 10-50 bar; 250-325 degrees C; 1.25-20 g h mol(C)(-)(1)). The use of the model for simulating the packed bed reactor has allowed evaluating the influence of the reaction conditions, as well as assessing the effect of the catalysts particle size. The model predicts DME yields of 64% for syngas (H-2+CO) feeds, 38% for CO2/COx ratio of 0.50 and 17% for H-2/CO2, respectively, at 70 bar and 290 degrees C. The maximum conversion of CO2 predicted by the model for the same space time value and temperature surpasses 30% for H-2+CO2 feedstocks at 70 bar, greater than the experimental value obtained at 50 bar at the same temperature (similar to 25%). (C) 2021 Elsevier Ltd. All rights reserved.