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

^*此作品的通讯作者

Pennsylvania State University
Carnegie Mellon University
Shanghai Jiao Tong University

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

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.

源语言	英语
文章编号	69
期刊	Journal of Mathematical Biology
卷	82
期	7
DOI	https://doi.org/10.1007/s00285-021-01615-0
出版状态	已出版 - 6月 2021
已对外发布	是

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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.",

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

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

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AU - Feng, Yuanyuan

AU - Iyer, Gautam

AU - Li, Lei

PY - 2021/6

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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

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ER -

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

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