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

Yuanyuan Feng; Gautam Iyer; Lei Li

doi:10.1007/s00285-021-01615-0

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

Yuanyuan Feng
, Gautam Iyer^*
, Lei Li

^*Corresponding author for this work

Pennsylvania State University
Carnegie Mellon University
Shanghai Jiao Tong University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Article number	69
Journal	Journal of Mathematical Biology
Volume	82
Issue number	7
DOIs	https://doi.org/10.1007/s00285-021-01615-0
State	Published - Jun 2021
Externally published	Yes

Keywords

Compartmental model
Epidemiology
SIR system

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10.1007/s00285-021-01615-0

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title = "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.",

keywords = "Compartmental model, Epidemiology, SIR system",

author = "Yuanyuan Feng and Gautam Iyer and Lei Li",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2021",

month = jun,

doi = "10.1007/s00285-021-01615-0",

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T1 - Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic

AU - Feng, Yuanyuan

AU - Iyer, Gautam

AU - Li, Lei

PY - 2021/6

Y1 - 2021/6

N2 - 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.

AB - 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.

KW - Compartmental model

KW - Epidemiology

KW - SIR system

UR - https://www.scopus.com/pages/publications/85107691293

U2 - 10.1007/s00285-021-01615-0

DO - 10.1007/s00285-021-01615-0

M3 - 文章

C2 - 34101040

AN - SCOPUS:85107691293

SN - 0303-6812

VL - 82

JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

IS - 7

M1 - 69

ER -

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

Abstract

Keywords

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