  We consider the deformed Bose gas model with the deformation structure
function that is the combination of a q-deformation and a quadratically
polynomial deformation. Such a choice of the unifying deformation structure
function enables us to describe the interacting gas of composite (two-fermionic
or two-bosonic) bosons. Using the relevant generalization of the Jackson
derivative, we derive a two-parametric expression for the total number of
particles, from which the deformed virial expansion of the equation of state is
obtained. The latter is interpreted as the virial expansion for the effective
description of a gas of interacting composite bosons with some interaction
potential.
