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模拟距离措施对传染病传播的影响:摩洛哥人口中 COVID-19 的案例研究。

Modeling the impact of distancing measures on infectious disease spread: a case study of COVID-19 in the Moroccan population.

机构信息

LAMAI, Faculty of Sciences and Technics, Department of Mathematics, Cadi Ayyad University, Marrakesh 40140, Morocco.

Centrale Casablanca, Complex Systems and Interactions Research Center, Ville Verte, Bouskoura 27182, Morocco.

出版信息

Math Biosci Eng. 2024 Feb 27;21(3):4370-4396. doi: 10.3934/mbe.2024193.

Abstract

This paper explores the impact of various distancing measures on the spread of infectious diseases, focusing on the spread of COVID-19 in the Moroccan population as a case study. Contact matrices, generated through a social force model, capture population interactions within distinct activity locations and age groups. These matrices, tailored for each distancing scenario, have been incorporated into an SEIR model. The study models the region as a network of interconnected activity locations, enabling flexible analysis of the effects of different distancing measures within social contexts and between age groups. Additionally, the method assesses the influence of measures targeting potential superspreaders (i.e., agents with a very high contact rate) and explores the impact of inter-activity location flows, providing insights beyond scalar contact rates or survey-based contact matrices. The results suggest that implementing intra-activity location distancing measures significantly reduces in the number of infected individuals relative to the act of imposing restrictions on individuals with a high contact rate in each activity location. The combination of both measures proves more advantageous. On a regional scale, characterized as a network of interconnected activity locations, restrictions on the movement of individuals with high contact rates was found to result in a $ 2 % $ reduction, while intra-activity location-based distancing measures was found to achieve a $ 44 % $ reduction. The combination of these two measures yielded a $ 48% $ reduction.

摘要

本文探讨了各种隔离措施对传染病传播的影响,重点以摩洛哥人口中 COVID-19 的传播为例进行研究。通过社会力模型生成的接触矩阵,捕捉了不同活动地点和年龄组内的人口相互作用。这些针对每个隔离场景定制的矩阵已被纳入 SEIR 模型中。该研究将该区域建模为一个相互连接的活动地点网络,能够灵活分析不同隔离措施在社会背景和年龄组之间的影响。此外,该方法评估了针对潜在超级传播者(即接触率非常高的个体)的措施的影响,并探讨了跨活动地点流动的影响,提供了超越标量接触率或基于调查的接触矩阵的见解。结果表明,与对每个活动地点中接触率高的个体实施限制措施相比,实施活动地点内的隔离措施可显著减少感染个体的数量。同时采取这两种措施效果更为显著。在一个以相互连接的活动地点网络为特征的区域规模上,发现限制高接触率个体的流动会导致减少 2%,而基于活动地点内的隔离措施可减少 44%,两者结合可减少 48%。

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