On the initial value problem of a class of models of the kinetic theory for active particles

This paper deals with the qualitative analysis of the Cauchy problem for a class of systems constituted by a large number of interacting entities called active particles. Their state includes, in addition to geometrical and mechanical variables, also a microscopic state related to their socio-biological behavior, which is called activity. Microscopic interactions are governed by the self-organizing ability, which finalizes the dynamics according to well defined strategies.