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利用 MEWMA 监测沙特阿拉伯的 COVID-19 大流行:基于 SEIRD 模型参数的研究

Monitoring COVID-19 pandemic in Saudi Arabia using SEIRD model parameters with MEWMA.

机构信息

Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh, Saudi Arabia.

Department of Statistical Sciences and Operations Research, Virginia Commonwealth University, Richmond, VA, USA.

出版信息

J Infect Public Health. 2023 Dec;16(12):2038-2045. doi: 10.1016/j.jiph.2023.09.009. Epub 2023 Sep 20.

Abstract

BACKGROUND

When the COVID-19 pandemic hit Saudi Arabia, decision-makers were confronted with the difficult task of implementing treatment and disease prevention measures. To make effective decisions, officials must monitor several pandemic attributes simultaneously. Such as spreading rate, which is the number of new cases of a disease compared to existing cases; infection rate refers to how many cases have been reported in the entire population, and the recovery rate, which is how effective treatment is and indicates how many people recover from an illness and the mortality rate is how many deaths there are for every 10,000 people.

METHODS

Based on a Susceptible, Exposed, Infected, Recovered Death (SEIRD) model, this study presents a method for monitoring changes in the dynamics of a pandemic. This approach uses a Bayesian paradigm for estimating the parameters at each time using a particle Markov chain Monte Carlo (MCMC) method. The MCMC samples are then analyzed using Multivariate Exponentially Weighted Average (MEWMA) profile monitoring technique, which will "signal" if a change in the SEIRD model parameters change.

RESULTS

The method is applied to the pre-vaccine COVID-19 data for Saudi Arabia and the MEWMA process shows changes in parameter profiles which correspond to real world events such as government interventions or changes in behaviour.

CONCLUSIONS

The method presented here is a tool that researchers and policy makers can use to monitor pandemics in a real time manner.

摘要

背景

当 COVID-19 疫情袭击沙特阿拉伯时,决策者面临着实施治疗和疾病预防措施的艰巨任务。为了做出有效决策,官员们必须同时监测几种大流行属性。例如,传播率是指与现有病例相比新病例的数量;感染率是指在整个人群中报告了多少病例,以及治愈率,即治疗的有效性,表明有多少人从疾病中康复,死亡率是每 10000 人中的死亡人数。

方法

基于易感、暴露、感染、恢复和死亡(SEIRD)模型,本研究提出了一种监测大流行动态变化的方法。该方法使用贝叶斯范例在每个时间点使用粒子马尔可夫链蒙特卡罗(MCMC)方法估计参数。然后使用多元指数加权移动平均(MEWMA)轮廓监测技术对 MCMC 样本进行分析,该技术将“发出信号”表明 SEIRD 模型参数的变化。

结果

该方法应用于沙特阿拉伯的疫苗前 COVID-19 数据,MEWMA 过程显示参数分布的变化与政府干预或行为变化等实际事件相对应。

结论

这里提出的方法是研究人员和政策制定者可以用来实时监测大流行的工具。

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