  A transport model based on the mean free path approach for an interacting
meson system at finite temperatures is discussed. A transition to a quark gluon
plasma is included within the framework of the bag model. We discuss some
calculations for a pure meson gas where the Hagedorn limiting temperature is
reproduced when including the experimentally observed resonances. Next we
include the possibility for a QGP formation based on the MIT bag model. The
results obtained compare very well with Lattice QCD calculations. In particular
the cross over to the QGP at about 175 MeV temperature is nicely reproduced.
