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解除出行限制和超级传播事件对 COVID-19 短期动态的影响。

Lifting mobility restrictions and the effect of superspreading events on the short-term dynamics of COVID-19.

机构信息

Instituto de Matemáticas UNAM-Juriquilla, Juriquilla, Querétaro, México.

CONACyT - Instituto de Matemáticas, UNAM-Juriquilla, Juriquilla, Querétaro, México.

出版信息

Math Biosci Eng. 2020 Sep 18;17(5):6240-6258. doi: 10.3934/mbe.2020330.

Abstract

SARS-CoV-2 has now infected 15 million people and produced more than six hundred thousand deaths around the world. Due to high transmission levels, many governments implemented social distancing and confinement measures with different levels of required compliance to mitigate the COVID-19 epidemic. In several countries, these measures were effective, and it was possible to flatten the epidemic curve and control it. In others, this objective was not or has not been achieved. In far too many cities around the world, rebounds of the epidemic are occurring or, in others, plateaulike states have appeared, where high incidence rates remain constant for relatively long periods of time. Nonetheless, faced with the challenge of urgent social need to reactivate their economies, many countries have decided to lift mitigation measures at times of high incidence. In this paper, we use a mathematical model to characterize the impact of short duration transmission events within the confinement period previous but close to the epidemic peak. The model also describes the possible consequences on the disease dynamics after mitigation measures are lifted. We use Mexico City as a case study. The results show that events of high mobility may produce either a later higher peak, a long plateau with relatively constant but high incidence or the same peak as in the original baseline epidemic curve, but with a post-peak interval of slower decay. Finally, we also show the importance of carefully timing the lifting of mitigation measures. If this occurs during a period of high incidence, then the disease transmission will rapidly increase, unless the effective contact rate keeps decreasing, which will be very difficult to achieve once the population is released.

摘要

SARS-CoV-2 现已在全球范围内感染了 1500 万人,并导致超过 60 万人死亡。由于高传播水平,许多政府实施了不同程度的社交距离和隔离措施,以减轻 COVID-19 疫情。在一些国家,这些措施是有效的,可以使疫情曲线变平并得到控制。在其他国家,这一目标没有或尚未实现。在全球许多城市,疫情出现反弹,或者出现了类似平台的状态,发病率保持相对较长时间的恒定。然而,面对紧急的社会需要重新激活经济的挑战,许多国家在高发病率时期决定取消缓解措施。在本文中,我们使用数学模型来描述在接近疫情高峰之前的隔离期内短期传播事件的影响。该模型还描述了缓解措施取消后对疾病动态的可能影响。我们以墨西哥城为例进行研究。结果表明,高流动性事件可能会导致峰值更高、高峰期更长且发病率相对较高或与原始基线疫情曲线相同的峰值,但峰值后下降速度较慢。最后,我们还表明了谨慎选择取消缓解措施时间的重要性。如果在高发病率期间发生这种情况,那么疾病传播将迅速增加,除非有效接触率持续降低,一旦人群被释放,这将非常难以实现。

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