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预测受 COVID-19 影响最严重的 15 个国家:高级自回归综合移动平均 (ARIMA) 模型。

Prediction of the COVID-19 Pandemic for the Top 15 Affected Countries: Advanced Autoregressive Integrated Moving Average (ARIMA) Model.

机构信息

Department of Natural Resources, TERI School of Advanced Studies, New Delhi, India.

Kumaun University, Nainital, India.

出版信息

JMIR Public Health Surveill. 2020 May 13;6(2):e19115. doi: 10.2196/19115.

Abstract

BACKGROUND

The coronavirus disease (COVID-19) pandemic has affected more than 200 countries and has infected more than 2,800,000 people as of April 24, 2020. It was first identified in Wuhan City in China in December 2019.

OBJECTIVE

The aim of this study is to identify the top 15 countries with spatial mapping of the confirmed cases. A comparison was done between the identified top 15 countries for confirmed cases, deaths, and recoveries, and an advanced autoregressive integrated moving average (ARIMA) model was used for predicting the COVID-19 disease spread trajectories for the next 2 months.

METHODS

The comparison of recent cumulative and predicted cases was done for the top 15 countries with confirmed cases, deaths, and recoveries from COVID-19. The spatial map is useful to identify the intensity of COVID-19 infections in the top 15 countries and the continents. The recent reported data for confirmed cases, deaths, and recoveries for the last 3 months was represented and compared between the top 15 infected countries. The advanced ARIMA model was used for predicting future data based on time series data. The ARIMA model provides a weight to past values and error values to correct the model prediction, so it is better than other basic regression and exponential methods. The comparison of recent cumulative and predicted cases was done for the top 15 countries with confirmed cases, deaths, and recoveries from COVID-19.

RESULTS

The top 15 countries with a high number of confirmed cases were stratified to include the data in a mathematical model. The identified top 15 countries with cumulative cases, deaths, and recoveries from COVID-19 were compared. The United States, the United Kingdom, Turkey, China, and Russia saw a relatively fast spread of the disease. There was a fast recovery ratio in China, Switzerland, Germany, Iran, and Brazil, and a slow recovery ratio in the United States, the United Kingdom, the Netherlands, Russia, and Italy. There was a high death rate ratio in Italy and the United Kingdom and a lower death rate ratio in Russia, Turkey, China, and the United States. The ARIMA model was used to predict estimated confirmed cases, deaths, and recoveries for the top 15 countries from April 24 to July 7, 2020. Its value is represented with 95%, 80%, and 70% confidence interval values. The validation of the ARIMA model was done using the Akaike information criterion value; its values were about 20, 14, and 16 for cumulative confirmed cases, deaths, and recoveries of COVID-19, respectively, which represents acceptable results.

CONCLUSIONS

The observed predicted values showed that the confirmed cases, deaths, and recoveries will double in all the observed countries except China, Switzerland, and Germany. It was also observed that the death and recovery rates were rose faster when compared to confirmed cases over the next 2 months. The associated mortality rate will be much higher in the United States, Spain, and Italy followed by France, Germany, and the United Kingdom. The forecast analysis of the COVID-19 dynamics showed a different angle for the whole world, and it looks scarier than imagined, but recovery numbers start looking promising by July 7, 2020.

摘要

背景

截至 2020 年 4 月 24 日,冠状病毒病(COVID-19)大流行已影响 200 多个国家/地区,感染人数超过 280 万。它于 2019 年 12 月首次在中国武汉市被发现。

目的

本研究旨在确定确诊病例的空间映射的前 15 个国家。对确定的前 15 个确诊病例、死亡和康复国家进行了比较,并使用先进的自回归综合移动平均(ARIMA)模型对 COVID-19 疾病在未来 2 个月的传播轨迹进行预测。

方法

对来自 COVID-19 的确诊病例、死亡和康复人数最多的前 15 个国家进行了最近累计和预测病例的比较。空间图可用于识别前 15 个国家 COVID-19 感染的强度和各大洲。代表并比较了过去 3 个月中报告的最近确诊病例、死亡和康复的最新数据。使用高级 ARIMA 模型根据时间序列数据预测未来数据。ARIMA 模型为过去的值提供权重,并为纠正模型预测的误差值,因此优于其他基本回归和指数方法。对来自 COVID-19 的确诊病例、死亡和康复人数最多的前 15 个国家进行了最近累计和预测病例的比较。

结果

将确诊病例数量较多的前 15 个国家分层纳入数学模型。对确诊病例、死亡和康复人数最多的前 15 个国家进行了比较。来自 COVID-19 的确诊病例、死亡和康复的累积病例、美国、英国、土耳其、中国和俄罗斯的疾病传播速度相对较快。中国、瑞士、德国、伊朗和巴西的康复比例较快,美国、英国、荷兰、俄罗斯和意大利的康复比例较慢。意大利和英国的死亡率较高,俄罗斯、土耳其、中国和美国的死亡率较低。使用 ARIMA 模型对 2020 年 4 月 24 日至 7 月 7 日来自 COVID-19 的前 15 个国家的估计确诊病例、死亡和康复人数进行了预测。其值以 95%、80%和 70%置信区间值表示。使用赤池信息量准则值对 ARIMA 模型进行了验证;其值分别约为 20、14 和 16,代表了可接受的结果。

结论

观察到的预测值表明,除中国、瑞士和德国外,所有观察到的国家的确诊病例、死亡和康复人数将翻一番。还观察到,在未来 2 个月内,死亡和康复率的上升速度快于确诊病例。美国、西班牙和意大利的死亡率将高于法国、德国和英国。COVID-19 动态的预测分析为全世界提供了一个不同的视角,看起来比想象的更可怕,但到 2020 年 7 月 7 日,康复人数开始有希望。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/94b1/7223426/14dc3a91a3ca/publichealth_v6i2e19115_fig1.jpg

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