24 citations · 25 across the 9 of their papers we have counts for
9 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…
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,…
Measuring inequality in society-oriented Lotka--Volterra-type kinetic equations
Marco Menale, Giuseppe Toscani
We present a possible approach to measuring inequality in a system of coupled Fokker-Planck-type equations that describe the evolution of distribution densities for two populations…
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…
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…
New Trends on the Systems Approach to Modeling SARS-CoV-2 Pandemics in a Globally Connected Planet
Giulia Bertaglia, Andrea Bondesan, Diletta Burini +3
This paper presents a critical analysis of the literature and perspective research ideas for modeling the epidemics caused by the SARS-CoV-2 virus. It goes beyond deterministic pop…
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,…
Kinetic compartmental models driven by opinion dynamics: Vaccine hesitancy and social influence
Andrea Bondesan, Giuseppe Toscani, Mattia Zanella
We propose a kinetic model for understanding the link between opinion formation phenomena and epidemic dynamics. The recent pandemic has brought to light that vaccine hesitancy can…