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建模墨西哥的行为改变和 COVID-19 控制:封锁与合规之间的权衡。

Modeling behavioral change and COVID-19 containment in Mexico: A trade-off between lockdown and compliance.

机构信息

Departamento de Matematicas, Universidad de Sonora, Mexico.

CONACyT - Instituto de Matematicas, UNAM-Juriquilla, Mexico; Nodo Multidisciplinario de Matematicas Aplicadas, Instituto de Matematicas UNAM-Juriquilla, Mexico.

出版信息

Math Biosci. 2020 Jul;325:108370. doi: 10.1016/j.mbs.2020.108370. Epub 2020 May 6.

Abstract

Sanitary Emergency Measures (SEM) were implemented in Mexico on March 30th, 2020 requiring the suspension of non-essential activities. This action followed a Healthy Distance Sanitary action on March 23rd, 2020. The aim of both measures was to reduce community transmission of COVID-19 in Mexico by lowering the effective contact rate. Using a modification of the Kermack-McKendrick SEIR model we explore the effect of behavioral changes required to lower community transmission by introducing a time-varying contact rate, and the consequences of disease spread in a population subject to suspension of non-essential activities. Our study shows that there exists a trade-off between the proportion of the population under SEM and the average time an individual is committed to all the behavioral changes needed to achieve an effective social distancing. This trade-off generates an optimum value for the proportion of the population under strict mitigation measures, significantly below 1 in some cases, that minimizes maximum COVID-19 incidence. We study the population-level impact of three key factors: the implementation of behavior change control measures, the time horizon necessary to reduce the effective contact rate and the proportion of people under SEM in combating COVID-19. Our model is fitted to the available data. The initial phase of the epidemic, from February 17th to March 23rd, 2020, is used to estimate the contact rates, infectious periods and mortality rate using both confirmed cases (by date of symptoms initiation), and daily mortality. Data on deaths after March 23rd, 2020 is used to estimate the mortality rate after the mitigation measures are implemented. Our simulations indicate that the most likely dates for maximum incidence are between late May and early June, 2020 under a scenario of high SEM compliance and low SEM abandonment rate.

摘要

墨西哥于 2020 年 3 月 30 日实施了卫生紧急措施(SEM),要求暂停非必要活动。这一行动是继 2020 年 3 月 23 日实施健康距离卫生行动之后采取的。这两项措施的目的都是通过降低有效接触率来减少 COVID-19 在墨西哥的社区传播。我们使用 Kermack-McKendrick SEIR 模型的修改版来探索通过引入时变接触率来降低社区传播所需的行为变化的效果,以及在暂停非必要活动的人群中疾病传播的后果。我们的研究表明,在 SEM 下的人口比例和个人为实现有效社交距离而承诺的所有行为变化的平均时间之间存在权衡。这种权衡为严格缓解措施下的人口比例产生了一个最佳值,在某些情况下显著低于 1,这将使 COVID-19 的最大发病率最小化。我们研究了三个关键因素对人群水平的影响:行为改变控制措施的实施、降低有效接触率所需的时间范围以及 SEM 下的人口比例在抗击 COVID-19 中的作用。我们的模型与现有数据拟合。从 2020 年 2 月 17 日至 3 月 23 日,即疫情的初始阶段,用于使用确诊病例(按症状开始日期)和每日死亡率来估计接触率、感染期和死亡率。2020 年 3 月 23 日之后的数据用于估计缓解措施实施后的死亡率。我们的模拟表明,在 SEM 合规率高且 SEM 放弃率低的情况下,最大发病率最有可能的日期是 2020 年 5 月底至 6 月初。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ab7a/7202859/f88517671aae/gr1_lrg.jpg

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