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 …

Time-averaging and nonergodicity of reset geometric Brownian motion with drift

D Vinod, AG Cherstvy, R Metzler, IM Sokolov - Physical Review E, 2022 - APS
How do near-bankruptcy events in the past affect the dynamics of stock-market prices in the
future? Specifically, what are the long-time properties of a time-local exponential growth of …

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 …

Using large-scale sensor data to test factors predictive of perseverance in home movement rehabilitation: optimal challenge and steady engagement

EDJ Ramos Muñoz, VA Swanson, C Johnson… - Frontiers in …, 2022 - frontiersin.org
Persevering with home rehabilitation exercise is a struggle for millions of people in the US
each year. A key factor that may influence motivation to engage with rehabilitation exercise …

A data-driven epidemic model with social structure for understanding the COVID-19 infection on a heavily affected Italian Province

M Zanella, C Bardelli, G Dimarco… - … Models and Methods …, 2021 - World Scientific
In this work, using a detailed dataset furnished by National Health Authorities concerning the
Province of Pavia (Lombardy, Italy), we propose to determine the essential features of the …

Control of tumor growth distributions through kinetic methods

L Preziosi, G Toscani, M Zanella - Journal of theoretical biology, 2021 - Elsevier
The mathematical modeling of tumor growth has a long history, and has been
mathematically formulated in several different ways. Here we tackle the problem in the case …

Characterising driver heterogeneity within stochastic traffic simulation

MA Makridis, A Anesiadou, K Mattas… - Transportmetrica B …, 2023 - Taylor & Francis
Drivers' heterogeneity and the broad range of vehicle characteristics on public roads are
primarily responsible for the stochasticity observed in road traffic dynamics. Understanding …

Non-Maxwellian kinetic equations modeling the dynamics of wealth distribution

G Furioli, A Pulvirenti, E Terraneo… - Mathematical Models and …, 2020 - World Scientific
We introduce a class of new one-dimensional linear Fokker–Planck-type equations
describing the dynamics of the distribution of wealth in a multi-agent society. The equations …

Mean-performance of sharp restart I: statistical roadmap

I Eliazar, S Reuveni - Journal of Physics A: Mathematical and …, 2020 - iopscience.iop.org
Restart is a general framework, of prime importance and wide applicability, for expediting
first-passage times and completion times of general stochastic processes. Restart protocols …