对固定长度的隔离期进行调度，以最大限度地减少疫情期间的总死亡人数。
Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic.
机构信息
Department of Mathematics, Pennsylvania State University, State College, PA, 16802, USA.
Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA, 15213, USA.
出版信息
J Math Biol. 2021 Jun 8;82(7):69. doi: 10.1007/s00285-021-01615-0.
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.
我们考虑一个易感染、感染、移除（SIR）系统，其中传播率可能在固定时间段内暂时降低。我们表明，为了使总死亡人数最小化，传播率应该在单个连续的时间间隔内降低，我们通过一个积分条件来刻画这个间隔。最后，我们通过一些数值模拟来展示实际获得的降低效果。
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