Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty

G Bertaglia, W Boscheri, G Dimarco… - arXiv preprint arXiv …, 2021 - arxiv.org
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 the …

Optimal control of epidemic spreading in the presence of social heterogeneity

G Dimarco, G Toscani… - … Transactions of the …, 2022 - royalsocietypublishing.org
The spread of COVID-19 has been thwarted in most countries through non-pharmaceutical
interventions. In particular, the most effective measures in this direction have been the stay …

Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics

G Albi, G Bertaglia, W Boscheri, G Dimarco… - Predicting Pandemics in …, 2022 - Springer
In this survey we report some recent results in the mathematical modelling of epidemic
phenomena through the use of kinetic equations. We initially consider models of interaction …

Spreading of fake news, competence and learning: kinetic modelling and numerical approximation

J Franceschi, L Pareschi - Philosophical Transactions of …, 2022 - royalsocietypublishing.org
The rise of social networks as the primary means of communication in almost every country
in the world has simultaneously triggered an increase in the amount of fake news circulating …

Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread

G Bertaglia, C Lu, L Pareschi, X Zhu - Mathematical Models and …, 2022 - World Scientific
When investigating epidemic dynamics through differential models, the parameters needed
to understand the phenomenon and to simulate forecast scenarios require a delicate …

Virus models in complex frameworks: Towards modeling space patterns of SARS-CoV-2 epidemics

D Burini, N Chouhad - … Models and Methods in Applied Sciences, 2022 - World Scientific
This paper deals with the micro–macro-derivation of virus models coupled with a reaction–
diffusion system that generates the dynamics in space of the virus particles. The first part of …

New trends on the systems approach to modeling SARS-CoV-2 pandemics in a globally connected planet

G Bertaglia, A Bondesan, D Burini, R Eftimie… - arXiv preprint arXiv …, 2024 - arxiv.org
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 …

Uncertainty quantification for ecological models with random parameters

JR Reimer, FR Adler, KM Golden, A Narayan - Ecology Letters, 2022 - Wiley Online Library
There is often considerable uncertainty in parameters in ecological models. This uncertainty
can be incorporated into models by treating parameters as random variables with …

Modeling nonlocal behavior in epidemics via a reaction–diffusion system incorporating population movement along a network

M Grave, A Viguerie, GF Barros, A Reali… - Computer Methods in …, 2022 - Elsevier
The outbreak of COVID-19, beginning in 2019 and continuing through the time of writing,
has led to renewed interest in the mathematical modeling of infectious disease. Recent …

Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties

G Bertaglia, L Liu, L Pareschi, X Zhu - arXiv preprint arXiv:2110.14579, 2021 - arxiv.org
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 …