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Updated: Nov 2, 2025

Remote Laboratory Management: Respiratory Virus Diagnostics
Published on: April 6, 2019
Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic
Yuanyuan Feng1, Gautam Iyer2, Lei Li3
1Department of Mathematics, Pennsylvania State University, State College, PA, 16802, USA.
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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