Verification and validation of the model of the reduced kinetics of hybrid detonation in hydrogen-air mixtures with fine aluminum particles was carried out. The formula of integral heat release is obtained depending on the fuel excess coefficient for poor hydrogenair mixtures. The results are consistent with experimental data on the detonation rate. The constants of the aluminum combustion reactions are determined, which ensure the coordination of the detonation rate in air suspensions of aluminum particles. The processes of gas detonation in hydrogen-air mixtures and hybrid detonation with aluminum particles are numerically modeled. The dependencies of the hybrid detonation rate on the particle concentration are consistent with the known data. The comparison with experiments on cellular gas and hybrid detonation patterns is carried out: the degree of regularity, the size of the cells, the slope of the trajectories of triple points.