Microphysical operational structures and scale consistency. Study of equations of kinetics and transport in propagating environments in order to make a morphological bivalent approach of epidemic process

In epidemiology (or in biology of populations), an usual process consists in building up local parametrized models, which analysis permits to derive some noteworthy states by weighting speeds of dynamics. The potential existence of complex structures with several chaotic evolution schemes leads to a macroscopical approach by means of non linear dynamic systems. Provided that one calculates different types of means according to some protocols which can be only based on the underlying micro-structures, a way of resolving by the use of multiple scales is efficient. The direct micro bottom-up processing, by means of distribution functions, leads to some relations which are very interesting for physics of collisions, but it doesn't permit to satisfy macroscopic scale constraints, even after successive integrations. We quote pressure as an example.