  Dense matter is usually described using some kind of mean field theory (MFT)
model based on Boltzmann-Gibbs (BG) extensive statistics. However, in many
cases the conditions justifying the use of BG statistics are not fulfilled
because the systems considered are explicitly nonextensive. In such cases one
either enriches the original MFT by adding some dynamical elements violating
extensivity (like, for example, long range correlations or intrinsic
fluctuations), or one replaces the BG statistics by its nonextensive
counterpart characterized by some nonextensivity parameter q 1 (for q -> 1 one
returns to the extensive situation). In this work, using a simple
quasi-particle description of dense matter (with interaction modelled by
effective fugacities, z) we discuss the mutual interplay of non-extensiveness
and dynamics (i.e., q and z).
