The thermodynamic properties of high temperature and high density QCD-matter are studied using the Chiral SU ( 3 ) -flavor parity-doublet Polyakov-loop quark-hadron mean-field model , CMF .
The CMF model provides a proper description of lattice QCD data , heavy-ions physics , and static neutron stars .
The behavior of lines of constant pressure with increase of baryon density is discussed .
The rapid change of pressure behavior at \mu _ { B } / T \approx 3 suggests a strong contribution of baryons to thermodynamic properties at this region .
The position of this region is very close to the radius of convergence for a Taylor expansion of the QCD pressure .
The role of mesons and unstable hadrons in the hydrodynamic expansion of strongly interacting matter is also discussed .