82 citations · 753 across the 71 of their papers we have counts for
76 papers
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…
Kinetic SIS opinion-driven models with asymmetric awareness feedback: macroscopic limit and polarization
Juan Pablo Pinasco, Nicolas Saintier, Horacio Tettamanti +1
We study a kinetic multi-agent framework coupling opinion dynamics with epidemic spreading, where individual social behaviour both affects and is affected by disease transmission.…
Large-time behaviour for coupled systems of Lotka-Volterra-type Fokker-Planck equations
Giuseppe Toscani, Mattia Zanella
We study a system of Fokker-Planck equations recently introduced to describe the temporal evolution of statistical distributions of population densities with predator-prey interact…
Individual-Based Foundation of SIR-Type Epidemic Models: mean-field limit and large time behaviour
Giorgio Martalò, Giuseppe Toscani, Mattia Zanella
We introduce a kinetic framework for modeling the time evolution of the statistical distributions of the population densities in the three compartments of susceptible, infectious,…
Lotka-Volterra-type kinetic equations for interacting species
Andrea Bondesan, Marco Menale, Giuseppe Toscani +1
In this work, we examine a kinetic framework for modeling the time evolution of size distribution densities of two populations governed by predator-prey interactions. The model bui…
Control of Overpopulated Tails in Kinetic Epidemic Models
Mattia Zanella, Andrea Medaglia
We introduce model-based transition rates for controlled compartmental models in mathematical epidemiology, with a focus on the effects of control strategies applied to interacting…