A fundamental aspect of society is the exchange and discussion of opinions between
individuals, occurring in situations as varied as company boardrooms, elementary school …

We survey some recent developments on the mathematical modeling of opinion dynamics.
After an introduction on opinion modeling through interacting multi-agent systems described …

Understanding the impact of collective social phenomena in epidemic dynamics is a crucial
task to effectively contain the disease spread. In this work, we build a mathematical …

In this paper we model the role of a government of a large population as a mean field
optimal control problem. Such control problems are constrained by a PDE of continuity-type …

In this work, we propose and investigate a strategy to prevent consensus in kinetic models
for opinion formation. We consider a large interacting agent system and assume that agent …

In this paper we focus on the construction of numerical schemes for nonlinear Fokker–
Planck equations that preserve the structural properties, like non negativity of the solution …

In this survey we report some recent results in the mathematical modelling of epidemic
phenomena through the use of kinetic equations. We initially consider models of interaction …

In this paper, we propose a Boltzmann-type kinetic description of opinion formation on social
networks, which takes into account a general connectivity distribution of the individuals. We …

The rise of social networks as the primary means of communication in almost every country
in the world has simultaneously triggered an increase in the amount of fake news circulating …

We introduce and discuss kinetic models of opinion formation on social networks in which
the distribution function depends on both the opinion and the connectivity of the agents. The …