We study the equation of state of quark matter at zero temperature, us
ing the chiral-invariant color dielectric model to describe confinemen
t. An exhaustive analysis of the various versions of the model has bee
n performed, and the results are shown to discriminate among them. The
deconfinement phase transition turns out to be smooth. Deconfinement
and chiral symmetry restoration occur at very different densities. Ins
tabilities of the quark matter and the gap equation are also discussed
.