230 citations · 1.9k across the 63 of their papers we have counts for
5 papers · 1 filter
Opinion polarisation in social networks
Nadia Loy, Matteo Raviola, Andrea Tosin
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 individu…
A statistical mechanics approach to macroscopic limits of car-following traffic dynamics
Felisia Angela Chiarello, Benedetto Piccoli, Andrea Tosin
We study the derivation of macroscopic traffic models from car-following vehicle dynamics by means of hydrodynamic limits of an Enskog-type kinetic description. We consider the sup…
An SIR-like kinetic model tracking individuals' viral load
Rossella Della Marca, Nadia Loy, Andrea Tosin
Mathematical models are formal and simplified representations of the knowledge related to a phenomenon. In classical epidemic models, a neglected aspect is the heterogeneity of dis…
A viral load-based model for epidemic spread on spatial networks
Nadia Loy, Andrea Tosin
In this paper, we propose a Boltzmann-type kinetic model of the spreading of an infectious disease on a network. The latter describes the connections among countries, cities or dis…
Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles
Giacomo Dimarco, Andrea Tosin, Mattia Zanella
In this paper, we derive second order hydrodynamic traffic models from kinetic-controlled equations for driver-assist vehicles. At the vehicle level we take into account two main c…