A lattice Boltzmann model for multispecies flows with catalytic reactions is developed, which valid from very low to high surface Damk\"ohler numbers (${\text{Da}}_{\text{s}}$). The previously proposed [S. Arcidiacono, J. Mantzaras, and I. V. Karlin, Phys. Rev. E 78, 046711 (2008)], applicable low-to-moderate ${\text{Da}}_{\text{s}}$ encompasses part of the mixed kinetics transport-controlled r...