A deterministic dynamical systems approach is proposed to model the interplay among an
individual's behavior, personal factors, and environmental challenges, in the framework of …

This paper deals with the derivation of hybrid mathematical structures to describe the
behavior of large systems of active particles by ordinary differential equations with stochastic …

A mathematical model is proposed for interpreting the love story portrayed by Walt Disney in
the film" Beauty and The Beast". The analysis shows that the story is characterized by a …

Love stories are dynamical processes that develop in time starting, in general, from a state of
indifference. They reach a stationary, cyclic, or chaotic regime where they often remain for a …

The mathematical approach proposed in this paper refers to the modelling, and related
mathematical problems, of large systems of interacting entities whose microscopic state …

In this paper a kinetic modeling approach for an ecological system is proposed, based on
the prey–predator structure in terms of individuals experience. Specifically, a system of …

This paper analyzes, on the basis of methods of the mathematical kinetic theory of active
particles, some complexity problems related to the evolution of reciprocal feelings …

A very important class of models widely used nowadays to describe and predict, at least in
stochastic terms, the behavior of many-particle systems (where the word “particle” is not …

This paper deals with the modeling of complex social systems by methods of the
mathematical kinetic theory for active particles. Specifically, a recent model by the last two …

This paper deals with the analysis of mathematical models of the kinetic theory of active
particles with discrete microscopic states. The analysis is specifically addressed to the …