61 citations · 416 across the 21 of their papers we have counts for
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Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties
Giulia Bertaglia, Liu Liu, Lorenzo Pareschi +1
Uncertainty in data is certainly one of the main problems in epidemiology, as shown by the recent COVID-19 pandemic. The need for efficient methods capable of quantifying uncertain…
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…
Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty
Giulia Bertaglia, Walter Boscheri, Giacomo Dimarco +1
In this paper we introduce a space-dependent multiscale model to describe the spatial spread of an infectious disease under uncertain data with particular interest in simulating th…
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: application to the emergence of Covid-19 in Italy
Giulia Bertaglia, Lorenzo Pareschi
The importance of spatial networks in the spread of an epidemic is an essential aspect in modeling the dynamics of an infectious disease. Additionally, any realistic data-driven mo…
Modeling blood flow in networks of viscoelastic vessels with the 1-D augmented fluid-structure interaction system
Francesco Piccioli, Giulia Bertaglia, Alessandro Valiani +1
A noteworthy aspect in blood flow modeling is the definition of the mechanical interaction between the fluid flow and the biological structure that contains it, namely the vessel w…