@article{c7f7c12b621445cfb3e880aa8f4ec8c2,
title = "Controlling propagation of epidemics via mean-field control",
abstract = "The coronavirus disease 2019 (COVID-19) pandemic is changing and impacting lives on a global scale. In this paper, we introduce a mean-field game model in controlling the propagation of epidemics on a spatial domain. The control variable, the spatial velocity, is first introduced for the classical disease models, such as the SIR model. For this proposed model, we provide fast numerical algorithms based on proximal primal-dual methods. Numerical experiments demonstrate that the proposed model illustrates how to separate infected patients in a spatial domain effectively. ",
keywords = "Epidemics, Mean-field controls, Optimization, Primal-dual algorithm, SIR model",
author = "Wonjun Lee and Siting Liu and Hamidou Tembine and Wuchen Li and Stanley Osher",
note = "Funding Information: \ast Received by the editors June 2, 2020; accepted for publication (in revised form) December 10, 2020; published electronically February 9, 2021. https://doi.org/10.1137/20M1342690 Funding: This work was supported by AFOSR MURI grant FA9550-18-1-0502. \dagger Department of Mathematics, UCLA, Los Angeles, CA 90095 USA (wlee@math.ucla.edu, siting6@ math.ucla.edu, sjo@math.ucla.edu). \ddagger Learning \& Game Theory Laboratory, NYU Abu Dhabi, Saadiyat Island, Abu Dhabi, United Arab Emirates (ht36@nyu.edu). \S Department of Mathematics, University of South Carolina, Columbia, SC 29208 USA (wuchen@ mailbox.sc.edu). Publisher Copyright: {\textcopyright} 2021 Society for Industrial and Applied Mathematics.",
year = "2021",
doi = "10.1137/20M1342690",
language = "English (US)",
volume = "81",
pages = "190--207",
journal = "SIAM Journal on Applied Mathematics",
issn = "0036-1399",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "1",
}