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arXiv · 2007.09519

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

Yuanyuan Feng·Gautam Iyer·Lei Li
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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.

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Yuanyuan Feng, Gautam Iyer, Lei Li. 2020-07-18. Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic. https://doi.org/10.1007/s00285-021-01615-0

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