Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic

Abstract

We consider a susceptible, infected, removed (SIR) system where the transmission rate may be temporarily reduced for a fixed amount of time. We show that in order to minimize the total number of fatalities, the transmission rate should be reduced on a single contiguous time interval, and we characterize this interval via an integral condition. We conclude with a few numerical simulations showing the actual reduction obtained.

15 pages, 2 figures

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Cited by in corpus (2)

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• A hospital demand and capacity intervention approach for COVID-19 in the UK