Recent estimations of astrophysical parameters and forecast of the model with modified Chaplygin gas

To describe recent astronomical observations demonstrating accelerated expansion of the Universe we consider cosmological models with different equations of state. The key attention is paid to the model with modified Chaplygin gas. We calculate optimal values of the model parameters and limitations on their acceptable deviations from the best description of observational data for type $Ia$ supernovae, baryon acoustic oscillations and the Hubble parameter $H(z)$ estimations.For comparative analysis we consider the most popular $\Lambda CDM$ model and the model with generalized Chaplygin gas.