Optimal control of epidemic spreading in the presence of social heterogeneity
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 …
interventions. In particular, the most effective measures in this direction have been the stay …
Kinetic models for epidemic dynamics in the presence of opinion polarization
M Zanella - Bulletin of Mathematical Biology, 2023 - Springer
Understanding the impact of collective social phenomena in epidemic dynamics is a crucial
task to effectively contain the disease spread. In this work, we build a mathematical …
task to effectively contain the disease spread. In this work, we build a mathematical …
Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics
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 …
phenomena through the use of kinetic equations. We initially consider models of interaction …
Kinetic compartmental models driven by opinion dynamics: vaccine hesitancy and social influence
We propose a kinetic model for understanding the link between opinion formation
phenomena and epidemic dynamics. The recent pandemic has brought to light that vaccine …
phenomena and epidemic dynamics. The recent pandemic has brought to light that vaccine …
Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread
When investigating epidemic dynamics through differential models, the parameters needed
to understand the phenomenon and to simulate forecast scenarios require a delicate …
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 …
modeling the epidemics caused by the SARS-CoV-2 virus. It goes beyond deterministic …
Uncertainty quantification for ecological models with random parameters
There is often considerable uncertainty in parameters in ecological models. This uncertainty
can be incorporated into models by treating parameters as random variables with …
can be incorporated into models by treating parameters as random variables with …
An SIR model with viral load-dependent transmission
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 disease …
diseases. In this work, we investigate the role of the individuals' viral load in the disease …
A data-driven kinetic model for opinion dynamics with social network contacts
Opinion dynamics is an important and very active area of research that delves into the
complex processes through which individuals form and modify their opinions within a social …
complex processes through which individuals form and modify their opinions within a social …
Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties
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 …
recent COVID-19 pandemic. The need for efficient methods capable of quantifying …