140 citations · 164 across the 3 of their papers we have counts for
6 papers · 1 filter
Network-based kinetic models: Emergence of a statistical description of the graph topology
Marco Nurisso, Matteo Raviola, Andrea Tosin
In this paper, we propose a novel approach that employs kinetic equations to describe the collective dynamics emerging from graph-mediated pairwise interactions in multi-agent syst…
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…
Multiscale control of generic second order traffic models by driver-assist vehicles
Felisia Angela Chiarello, Benedetto Piccoli, Andrea Tosin
We study the derivation of generic high order macroscopic traffic models from a follow-the-leader particle description via a kinetic approach. First, we recover a third order traff…
Kinetic modelling of multiple interactions in socio-economic systems
Giuseppe Toscani, Andrea Tosin, Mattia Zanella
Unlike the classical kinetic theory of rarefied gases, where microscopic interactions among gas molecules are described as binary collisions, the modelling of socio-economic phenom…
Multiple-interaction kinetic modelling of a virtual-item gambling economy
Giuseppe Toscani, Andrea Tosin, Mattia Zanella
In recent years, there has been a proliferation of online gambling sites, which made gambling more accessible with a consequent rise in related problems, such as addiction. Hence,…
Opinion modeling on social media and marketing aspects
G. Toscani, A. Tosin, M. Zanella
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. T…