A novel COVID-19 epidemiological model with explicit susceptible and asymptomatic isolation compartments reveals unexpected consequences of timing social distancing.

A novel COVID-19 epidemiological model with explicit susceptible and asymptomatic isolation compartments reveals unexpected consequences of timing social distancing.
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DOI:
10.1016/j.jtbi.2020.110539
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发表时间:
2021-02-07
影响因子:
2
通讯作者:
Sontag ED
Sontag ED
中科院分区:
生物学4区
文献类型:
--
作者:
Gevertz JL;Greene JM;Sanchez-Tapia CH;Sontag ED

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COVID-19 的新颖数学模型明确包括社交距离。短暂延迟疏远命令对拉平曲线没有明显影响。周期性放松距离的效果对时间高度敏感。逐渐松弛的速率决定了第二波的存在及其严重程度。受当前 COVID-19 疫情的推动,这项工作引入了一种流行病学模型,其中针对易感人群和无症状的“社交距离较远”人群使用单独的隔间。保持距离的指令是通过进入这些隔间的流量以及减少接触来减少疾病传播来表示的。分析了该系统在各种不同速率控制策略下的动态行为,并研究了基本再生数对各种参数的敏感性。该模型的显着特征之一是在发布疏远命令时存在关键执行延迟(CID):虽然大约两周的延迟对感染峰值数量没有明显影响,但即使在这个关键时间之后稍微晚发布命令也会导致感染发生率高得多。因此,为了满足医疗资源的容量,开始保持社交距离有一个重要但紧迫的“机会之窗”。然而,如果人们还想推迟感染高峰的时间 — — 以便利用潜在的新疗法和疫苗 — — 采取行动的速度必须比 CID 快得多。还模拟了不同的放松策略,取得了令人惊讶的结果。定期放松政策建议制定一个可以显着抑制峰值感染负荷的时间表,但该时间表对参数值和时间表的频率非常敏感。此外,我们还考虑了随着时间的推移稳步减少社交距离措施的影响。我们发现,过于突然的社会重新开放可能会抵消最初的疏远准则下取得的进展,但如果仔细设计放松策略,负面影响是可以减轻的。
A novel mathematical model of COVID-19 explicitly includes social-distancing. Short delay of distancing mandates has no appreciable effects on flattening the curve. Effect of periodic relaxation of distancing is highly sensitive to timing. Rate of gradual relaxation determines presence of a second wave, and its severity. Motivated by the current COVID-19 epidemic, this work introduces an epidemiological model in which separate compartments are used for susceptible and asymptomatic “socially distant” populations. Distancing directives are represented by rates of flow into these compartments, as well as by a reduction in contacts that lessens disease transmission. The dynamical behavior of this system is analyzed, under various different rate control strategies, and the sensitivity of the basic reproduction number to various parameters is studied. One of the striking features of this model is the existence of a critical implementation delay (CID) in issuing distancing mandates: while a delay of about two weeks does not have an appreciable effect on the peak number of infections, issuing mandates even slightly after this critical time results in a far greater incidence of infection. Thus, there is a nontrivial but tight “window of opportunity” for commencing social distancing in order to meet the capacity of healthcare resources. However, if one wants to also delay the timing of peak infections – so as to take advantage of potential new therapies and vaccines – action must be taken much faster than the CID. Different relaxation strategies are also simulated, with surprising results. Periodic relaxation policies suggest a schedule which may significantly inhibit peak infective load, but that this schedule is very sensitive to parameter values and the schedule’s frequency. Furthermore, we considered the impact of steadily reducing social distancing measures over time. We find that a too-sudden reopening of society may negate the progress achieved under initial distancing guidelines, but the negative effects can be mitigated if the relaxation strategy is carefully designed.
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