82 citations · 753 across the 71 of their papers we have counts for
8 papers · 1 filter
From Individual-Based Models to Macroscopic Dynamics of Antimicrobial Resistance
Marco Menale, Giuseppe Toscani, Mattia Zanella
We introduce and discuss a kinetic framework describing the time evolution of the statistical distributions of a population divided into the compartments of susceptible, infectious…
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…
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…
On a kinetic description of Lotka-Volterra dynamics
Giuseppe Toscani, Mattia Zanella
Owing to the analogies between the problem of wealth redistribution with taxation in a multi-agent society, we introduce and discuss a kinetic model describing the statistical dist…
Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics
Giacomo Albi, Giulia Bertaglia, Walter Boscheri +4
In this survey we report some recent results in the mathematical modeling of epidemic phenomena through the use of kinetic equations. We initially consider models of interaction be…
Modelling lockdown measures in epidemic outbreaks using selective socio-economic containment with uncertainty
Giacomo Albi, Lorenzo Pareschi, Mattia Zanella
After the introduction of drastic containment measures aimed at stopping the epidemic contagion from SARS-CoV2, many governments have adopted a strategy based on a periodic relaxat…
A data-driven epidemic model with social structure for understanding the COVID-19 infection on a heavily affected Italian Province
M. Zanella, C. Bardelli, G. Dimarco +5
In this work, using a detailed dataset furnished by National Health Authorities concerning the Province of Pavia (Lombardy, Italy), we propose to determine the essential features o…
Control with uncertain data of socially structured compartmental epidemic models
G. Albi, L. Pareschi, M. Zanella
The adoption of containment measures to reduce the amplitude of the epidemic peak is a key aspect in tackling the rapid spread of an epidemic. Classical compartmental models must b…