  The SU(4) Polyakov linear sigma model (PLSM) is extended towards
characterizing the chiral condensates, $\sigma_l$, $\sigma_s$ and $\sigma_c$ of
light, strange and charm quarks, respectively and the deconfinement
order-parameters $\phi$ and $\bar{\phi}$ at finite temperatures and densities
(chemical potentials). The PLSM is considered to study the QCD equation of
state in the presence of the chiral condensate of charm for different finite
chemical potentials. The PLSM results are in a good agreement with the recent
lattice QCD simulations. We conclude that, the charm condensate is likely not
affected by the QCD phase-transition, where the corresponding critical
temperature is greater than that of the light and strange quark condensates.
