230 citations · 1.9k across the 63 of their papers we have counts for
63 papers
Kinetic description and macroscopic limit of swarming dynamics with continuous leader-follower transitions
Emiliano Cristiani, Nadia Loy, Marta Menci +1
In this paper, we derive a kinetic description of swarming particle dynamics in an interacting multi-agent system featuring emerging leaders and followers. Agents are classically c…
Modelling coevolutionary dynamics in heterogeneous SI epidemiological systems across scales
Tommaso Lorenzi, Elisa Paparelli, Andrea Tosin
We develop a new structured compartmental model for the coevolutionary dynamics between susceptible and infectious individuals in heterogeneous SI epidemiological systems. In this…
Network-based kinetic models: Emergence of a statistical description of the graph topology
Marco Nurisso, Matteo Raviola, Andrea Tosin
In this paper, we propose a novel approach that employs kinetic equations to describe the collective dynamics emerging from graph-mediated pairwise interactions in multi-agent syst…
Hydrodynamic traffic flow models including random accidents: A kinetic derivation
Felisia Angela Chiarello, Simone Göttlich, Thomas Schilliger +1
We present a formal kinetic derivation of a second order macroscopic traffic model from a stochastic particle model. The macroscopic model is given by a system of hyperbolic partia…
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…
An SIR model with viral load-dependent transmission
Rossella Della Marca, Nadia Loy, Andrea Tosin
The viral load is known to be a chief predictor of the risk of transmission of infectious diseases. In this work, we investigate the role of the individuals' viral load in the dise…