Mean field control problems for vaccine distribution

TL;DR

This paper develops a mean-field control model for optimizing vaccine distribution across a spatial domain to effectively control pandemic spread, integrating transportation strategies into a mean-field SIR model.

Contribution

It introduces a novel mean-field variational framework for vaccine distribution that incorporates spatial dynamics and transportation optimization.

Findings

The model offers practical strategies for spatial vaccine distribution.

Numerical examples validate the effectiveness of the proposed approach.

The framework integrates transportation into epidemic control models.

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.