Abstract <p>The results of numerical modeling of the propagation of cellular detonation in inhomogeneous gas suspensions of aluminum particles in a hydrogen–air mixture are presented. A physical and mathematical model of hybrid detonation is used with a description of chemical reactions within the framework of the reduced kinetics. The model takes into account homogeneous and heterogeneous reactions with the formation of suboxides or particles of solid aluminum oxide, as well as phase transitions (evaporation and decomposition of the oxide) in the reaction products. The model is consistent with known experimental data and the results of thermodynamic calculations of detonation parameters and mixture composition in the equilibrium state. Flows in channels with transverse gradients and discontinuities in particle concentrations are considered. Various cellular structures have been obtained, which allows us to consider the distribution of particles in space as a controlling factor in detonation processes.</p>