82 citations · 753 across the 71 of their papers we have counts for
6 papers · 1 filter
Supercritical Fokker-Planck equations for consensus dynamics: large-time behaviour and weighted Nash-type inequalities
Giuseppe Toscani, Mattia Zanella
We study the main properties of the solution of a Fokker-Planck equation characterized by a variable diffusion coefficient and a polynomial superlinear drift, modeling the formatio…
Derivation of macroscopic epidemic models from multi-agent systems
Mattia Zanella
We present a systematic review of some basic results on the derivation of classical epidemiological models from simple agent-based dynamics. The evolution of large populations is c…
Impact of opinion formation phenomena in epidemic dynamics: kinetic modeling on networks
Giacomo Albi, Elisa Calzola, Giacomo Dimarco +1
After the recent COVID-19 outbreaks, it became increasingly evident that individuals' thoughts and beliefs can have a strong impact on disease transmission. It becomes therefore im…
Predictability of viral load dynamics in the early phases of SARS-CoV-2 through a model-based approach
Andrea Bondesan, Antonio Piralla, Elena Ballante +4
A pipeline to evaluate the evolution of viral dynamics based on a new model-driven approach has been developed in the present study. The proposed methods exploit real data and the…
Emergence of condensation patterns in kinetic equations for opinion dynamics
Elisa Calzola, Giacomo Dimarco, Giuseppe Toscani +1
In this work, we define a class of models to understand the impact of population size on opinion formation dynamics, a phenomenon usually related to group conformity. To this end,…
Uncertainty quantification for charge transport in GNRs through particle Galerkin methods for the semiclassical Boltzmann equation
Andrea Medaglia, Giovanni Nastasi, Vittorio Romano +1
In this article, we investigate some issues related to the quantification of uncertainties associated with the electrical properties of graphene nanoribbons. The approach is suited…