Temperature T (MeV) 100 200 300 400 500 600 700 4  / T 0 2 4 6 8 10 12 14 16 /T=0.0) B Lattice Results ( FIG. 1: The calculation of energy density of QGP in QPM I (by a dashed curve at µ$_{B}$ /T=0.0 and by a dotted curve at µ$_{B}$ /T=2.0) and in QPM II (by a solid line at µ$_{B}$ /T=0.0 and by a dashed-dotted curve at µ$_{B}$ /T=2.0). Square points are lattice data at µ$_{B}$ /T=0.0 [28]. of Gibbs’ equilibrium criteria of equating HG and QGP pressures and to determine where these pressure lines intersect each other. Therefore, we want to know precisely the values of QGP pressure at temperatures T$_{0}$ ( < T$_{c}$ ) also. The comparison of our calculations with the lattice results yields the required test about the suitability of quasiparticle EOS for QGP. In Fig.3, we have shown the phase boundary obtained in our model. Surprisingly we again find here that the first-order deconfining phase transition line ends at a critical end point (CEP) and the coordinates of CEP are ( T$_{c}$ = 183 MeV, µ$_{c}$ = 166 MeV ) in QPM I and ( T$_{c}$ = 166 MeV, µ$_{c}$ = 155 MeV ) in QPM II. It is interesting to find that the critical points obtained by us lie closer to CEP of some lattice calculation [14]. These points also compare well with the coordinates of CEP ( T$_{c}$ = 160 MeV, µ$_{c}$ = 156 MeV ) obtained by us in the previous publication [7] using bag model calculation. We also find a crossover region existing