Mean field control problems for vaccine distribution
Optimization and Control
2022-07-12 v3 Physics and Society
Populations and Evolution
Abstract
With the invention of the COVID-19 vaccine, shipping and distributing are crucial in controlling the pandemic. In this paper, we build a mean-field variational problem in a spatial domain, which controls the propagation of pandemic by the optimal transportation strategy of vaccine distribution. Here we integrate the vaccine distribution into the mean-field SIR model designed in our previous paper arXiv:2006.01249. Numerical examples demonstrate that the proposed model provides practical strategies in vaccine distribution on a spatial domain.
Keywords
Cite
@article{arxiv.2104.11887,
title = {Mean field control problems for vaccine distribution},
author = {Wonjun Lee and Siting Liu and Wuchen Li and Stanley Osher},
journal= {arXiv preprint arXiv:2104.11887},
year = {2022}
}