[HTML][HTML] Data-driven mathematical modeling approaches for COVID-19: A survey

J Demongeot, P Magal - Physics of Life Reviews, 2024 - Elsevier
In this review, we successively present the methods for phenomenological modeling of the
evolution of reported and unreported cases of COVID-19, both in the exponential phase of …

Hyperbolic compartmental models for epidemic spread on networks with uncertain data: application to the emergence of Covid-19 in Italy

G Bertaglia, L Pareschi - … Models and Methods in Applied Sciences, 2021 - World Scientific
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 model …

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 …

[HTML][HTML] Modelling the COVID-19 epidemic and the vaccination campaign in Italy by the SUIHTER model

N Parolini, G Ardenghi, A Quarteroni - Infectious Disease Modelling, 2022 - Elsevier
Several epidemiological models have been proposed to study the evolution of COVID-19
pandemic. In this paper, we propose an extension of the SUIHTER model, to analyse the …

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 …

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 …

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 …

Mathematical modeling of periodic outbreaks with waning immunity: A possible long-term description of COVID-19

A Viguerie, M Carletti, G Silvestri, A Veneziani - Mathematics, 2023 - mdpi.com
The COVID-19 pandemic is still ongoing, even if the emergency is over, and we now have
enough data to analyze the outbreak over a long timeline. There is evidence that the …

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 …

A mathematical model of vaccinations using new fractional order derivative

Asma, M Yousaf, M Afzaal, MH DarAssi, MA Khan… - Vaccines, 2022 - mdpi.com
Purpose: This paper studies a simple SVIR (susceptible, vaccinated, infected, recovered)
type of model to investigate the coronavirus's dynamics in Saudi Arabia with the recent …