  In the present work we use the modified versions of the MIT bag model, on
which both a vector field and a self-interacting term are introduced, to obtain
hot quark matter and to investigate the QCD phase diagram. We first analyze
two-flavored quark matter constrained to both the freeze-out and the liquid-gas
phase transition at the hadronic phase. Later, three-flavored quark matter
subject to $\beta$ equilibrium and charge neutrality is used to compute quark
star macroscopic properties, which are confronted with recent observational
massive and canonical star radius results. Finally, a comparison with QCD phase
diagrams obtained from the Nambu-Jona-Lasinio model is performed.
