GLYPH<s48> GLYPH<s50> GLYPH<s52> GLYPH<s54> GLYPH<s56> GLYPH<s49>GLYPH<s48> GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s50> GLYPH<s48>GLYPH<s46>GLYPH<s52> GLYPH<s48>GLYPH<s46>GLYPH<s54> GLYPH<s48>GLYPH<s46>GLYPH<s56> GLYPH<s49> GLYPH<s32> GLYPH<s40> GLYPH<s97> GLYPH<s41> GLYPH<s97> FIG. 2: The suppression factor κ ( a ) from Eq. (8) as a function of the parameter a . differential equation for the function p ( T ). The general solution of this equation includes an arbitrary integration constant which results in the linear in temperature term in the function p ( T ). This was discussed for the first time in Ref. [5]. Thus, for ε ( T ) in the form of Eq. (7), the general solution of Eq. (5) for p ( T ) can be written as follows, A sum of the first and second terms in the expression for p ( T ) is a partial solution of the inhomogeneous differential equation (5) with ε ( T ) given by (9), whereas the last term in p ( T ) corresponds to a general solution of the homogeneous equation Tdp/dT − p = 0. Therefore, the thermodynamical relation (5) between the pressure and energy density admits the linear in T contribution to p ( T ), which is fully invisible in the ε ( T ) function. Equation (9) defines our model suggestion for the QGP EoS. For brevity we call it the A - bag model ( A -BM). The formula for ε ( T ) looks formally the same as in Eq. (1). However, the pressure function p ( T ) in the A -BM (9) contains one more parameter A comparing to the original BM EoS (1). The model parameters, σ = 4 . 73 and B = − 2 . 37 T 4 c are found from fitting the MC lattice results [2] for the energy density function ε ( T ). The third A - BM parameter A = 3 . 94 T 3 c is fixed by fitting the pressure function p ( T ). One finds a good description of the MC lattice results for ε ( T ) and p ( T ) within the A -BM EoS (9) for all 1 T > T$_{c}$ ε ( T ) = σ T 4 + B , p ( T ) = σ 3 T 4 − B − A T . (9) 5 1 To be precise, note that we consider the MC lattice points with T ≥ 1 . 02 T c to avoid the uncertainties of ε ( T ) at T = T c .