A Kinetic Theory Approach to the Modeling of Complex Living Systems

Abstract

In this chapter, a mathematical structure is derived to provide a general framework toward the modeling of space-homogeneous living systems, according to the kinetic theory for active particles. This structure can be adapted to study a variety of processes such as collective learning and social dynamics. Simple models regarding learning in a classroom and the dynamics of the criminality are presented to illustrate how the general modeling strategy operates in well-defined applications. Future research directions using the proposed approach are discussed.