$\bf D_s$-- mesons inclusive hadroproduction in the Quark -- Gluon String Model

The hadroproduction of $D_s$ mesons is discussed within the framework of the modified Quark-Gluon String model (QGSM) taking into account the decays of corresponding $S$--wave resonances. A description of the existing experimental data on inclusive spectra of $D_s$ - mesons production in $\pi p$ - collision and asymmetry of leading ($D_s^-$) and nonleading ($D_s^+$) mesons in $\Sigma^- p$-- interaction is obtained. The predictions for cross sections and leading/nonleading asymmetry in $\pi p$ - and $\Sigma^- p$-- collision for different initial momenta are also given.