  Using a simple quasi-particle model of QCD matter, presented some time ago in
the literature, in which interactions are modelled by some effective fugacities
z, we investigate the interplay between the dynamical content of fugacities z
and effects induced by nonextensivity in situations when this model is used in
a nonextensive environment characterized by some nonextensive parameter q
$\neq$ 1 (for the usual extensive case q=1). This allows for a better
understanding of the role of nonextensivity in the more complicated
descriptions of dense hadronic and QCD matter recently presented (in which
dynamics is defined by a lagrangian, the form of which is specific to a given
model).
