An eradication time problem for the SIR model
Analysis of PDEs
2021-08-30 v2 Optimization and Control
Abstract
We consider a susceptible, infected, and recovered infectious disease model which incorporates a vaccination rate. In particular, we study the problem of choosing the vaccination rate in order to reduce the number of infected individuals to a given threshold as quickly as possible. This is naturally a problem of time-optimal control. We interpret the optimal time as a solution of two dynamic programming equations and give necessary and sufficient conditions for a vaccination rate to be optimal.
Keywords
Cite
@article{arxiv.2008.12744,
title = {An eradication time problem for the SIR model},
author = {Ryan Hynd and Dennis Ikpe and Terrance Pendleton},
journal= {arXiv preprint arXiv:2008.12744},
year = {2021}
}