Universal features of epidemic models under social distancing guidelines

M Sadeghi, JM Greene, ED Sontag - Annual reviews in control, 2021 - Elsevier
Social distancing as a form of nonpharmaceutical intervention has been enacted in many
countries as a form of mitigating the spread of COVID-19. There has been a large interest in …

Kinetic models for epidemic dynamics with social heterogeneity

G Dimarco, B Perthame, G Toscani… - Journal of Mathematical …, 2021 - Springer
We introduce a mathematical description of the impact of the number of daily contacts in the
spread of infectious diseases by integrating an epidemiological dynamics with a kinetic …

Incorporating social determinants of health into modelling of COVID-19 and other infectious diseases: a baseline socio-economic compartmental model

G Galanis, A Hanieh - Social science & medicine, 2021 - Elsevier
The role of socio-economic conditions has been largely implicit in mathematical
epidemiological models. However, measures to address the current pandemic, specifically …

An age and space structured SIR model describing the Covid-19 pandemic

RM Colombo, M Garavello, F Marcellini… - Journal of mathematics in …, 2020 - Springer
We present an epidemic model capable of describing key features of the Covid-19
pandemic. While capturing several qualitative properties of the virus spreading, it allows to …

Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods

G Bertaglia, L Pareschi - ESAIM: Mathematical Modelling and …, 2021 - esaim-m2an.org
We consider the development of hyperbolic transport models for the propagation in space of
an epidemic phenomenon described by a classical compartmental dynamics. The model is …

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 …

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 …

Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations

W Boscheri, G Dimarco, L Pareschi - Mathematical Models and …, 2021 - World Scientific
In this paper, we propose a novel space-dependent multiscale model for the spread of
infectious diseases in a two-dimensional spatial context on realistic geographical scenarios …

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 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 …