18 citations · 28 across the 10 of their papers we have counts for
12 papers
Kinetic modeling of knowledge and wealth dynamics in national and global markets
Marzia Bisi, Martina Conte, Maria Groppi
We propose a kinetic model to describe the dynamical evolution of wealth and knowledge in national and global markets, starting from a microscopic description of individual interac…
A space-dependent Boltzmann-BGK model for gas mixtures and its hydrodynamic limits
Marzia Bisi, Maria Groppi, Giorgio Martalò
We present a hybrid Boltzmann-BGK model for inert mixtures, where each kind of binary interaction may be described by a classical Boltzmann integral or by a suitable relaxation-typ…
Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis
Marzia Bisi, Maria Groppi, Giorgio Martalò +1
In this paper, a class of reaction-diffusion equations for Multiple Sclerosis is presented. These models are derived by means of a diffusive limit starting from a proper kinetic de…
Action potential dynamics on heterogenous neural networks: from kinetic to macroscopic equations
Marzia Bisi, Martina Conte, Maria Groppi
In the context of multi-agent systems of binary interacting particles, a kinetic model for action potential dynamics on a neural network is proposed, accounting for heterogeneity i…
Kinetic and macroscopic equations for action potential in neural networks
Martina Conte, Maria Groppi, Andrea Tosin
Starting from the concept of binary interactions between pairs of particles, a kinetic framework for the description of the action potential dynamics on a neural network is propose…
A chemotaxis reaction-diffusion model for Multiple Sclerosis with Allee effect
Marzia Bisi, Maria Groppi, Giorgio Martalò +1
In this paper, we study a modification of the mathematical model describing inflammation and demyelination patterns in the brain caused by Multiple Sclerosis proposed in [Lombardo…
A general framework for the kinetic modeling of polyatomic gases
Thomas Borsoni, Marzia Bisi, Maria Groppi
A general framework for the kinetic modelling of non-relativistic polyatomic gases is proposed,where each particle is characterized both by its velocity and by its internal state,…
A behavioural modelling approach to assess the impact of COVID-19 vaccine hesitancy
Bruno Buonomo, Rossella Della Marca, Alberto d'Onofrio +1
In this paper we introduce a compartmental epidemic model describing the transmission of the COVID-19 disease in presence of non-mandatory vaccination. The model takes into account…
BGK models for inert mixtures: comparison and applications
Sebastiano Boscarino, Seung Yeon Cho, Maria Groppi +1
Consistent BGK models for inert mixtures are compared, first in their kinetic behavior and then versus the hydrodynamic limits that can be derived in different collision-dominated…
Conservative semi-Lagrangian schemes for a general consistent BGK model for inert gas mixtures
Seung Yeon Cho, Sebastiano Boscarino, Maria Groppi +1
In this work, we propose a class of high order semi-Lagrangian scheme for a general consistent BGK model for inert gas mixtures. The proposed scheme not only fulfills indifferentia…
Time-optimal control strategies in SIR epidemic models
Luca Bolzoni, Elena Bonacini, Cinzia Soresina +1
We investigate the time-optimal control problem in SIR (Susceptible-Infected-Recovered) epidemic models, focusing on different control policies: vaccination, isolation, culling, an…
High order semi-Lagrangian methods for the BGK equation
M. Groppi, G. Russo, G. Stracquadanio
A new class of high-order accuracy numerical methods for the BGK model of the Boltzmann equation is presented. The schemes are based on a semi-lagrangian formulation of the BGK equ…