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将 SIRV 模型与 NAR、LSTM 和统计方法嵌套,以拟合和预测非洲的 COVID-19 疫情趋势。

Nesting the SIRV model with NAR, LSTM and statistical methods to fit and predict COVID-19 epidemic trend in Africa.

机构信息

Faculty of Information Technology, Beijing University of Technology, Chaoyang District, Beijing, 100124, P. R. China.

Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing University of Technology, Chaoyang District, Beijing, 100124, P. R. China.

出版信息

BMC Public Health. 2023 Jan 19;23(1):138. doi: 10.1186/s12889-023-14992-6.

Abstract

OBJECTIVE

Compared with other regions in the world, the transmission characteristics of the COVID-19 epidemic in Africa are more obvious, has a unique transmission mode in this region; At the same time, the data related to the COVID-19 epidemic in Africa is characterized by low data quality and incomplete data coverage, which makes the prediction method of COVID-19 epidemic suitable for other regions unable to achieve good results in Africa. In order to solve the above problems, this paper proposes a prediction method that nests the in-depth learning method in the mechanism model. From the experimental results, it can better solve the above problems and better adapt to the transmission characteristics of the COVID-19 epidemic in African countries.

METHODS

Based on the SIRV model, the COVID-19 transmission rate and trend from September 2021 to January 2022 of the top 15 African countries (South Africa, Morocco, Tunisia, Libya, Egypt, Ethiopia, Kenya, Zambia, Algeria, Botswana, Nigeria, Zimbabwe, Mozambique, Uganda, and Ghana) in the accumulative number of COVID-19 confirmed cases was fitted by using the data from Worldometer. Non-autoregressive (NAR), Long-short term memory (LSTM), Autoregressive integrated moving average (ARIMA) models, Gaussian and polynomial functions were used to predict the transmission rate β in the next 7, 14, and 21 days. Then, the predicted transmission rate βs were substituted into the SIRV model to predict the number of the COVID-19 active cases. The error analysis was conducted using root-mean-square error (RMSE) and mean absolute percentage error (MAPE).

RESULTS

The fitting curves of the 7, 14, and 21 days were consistent with and higher than the original curves of daily active cases (DAC). The MAPE between the fitted and original 7-day DAC was only 1.15% and increased with the longer of predict days. Both the predicted β and DAC of the next 7, 14, and 21 days by NAR and LSTM nested models were closer to the real ones than other three ones. The minimum RMSEs for the predicted number of COVID-19 active cases in the next 7, 14, and 21 days were 12,974, 14,152, and 12,211 people, respectively when the order of magnitude for was 10, with the minimum MAPE being 1.79%, 1.97%, and 1.64%, respectively.

CONCLUSION

Nesting the SIRV model with NAR, LSTM, ARIMA methods etc. through functionalizing β respectively could obtain more accurate fitting and predicting results than these models/methods alone for the number of confirmed COVID-19 cases in Africa in which nesting with NAR had the highest accuracy for the 14-day and 21-day predictions. The nested model was of high significance for early understanding of the COVID-19 disease burden and preparedness for the response.

摘要

目的

与世界其他地区相比,非洲的 COVID-19 疫情传播特征更为明显,在该地区具有独特的传播模式;同时,与 COVID-19 疫情相关的数据质量较低,数据覆盖范围不完整,这使得适用于其他地区的 COVID-19 疫情预测方法在非洲无法取得良好效果。为了解决上述问题,本文提出了一种将深度学习方法嵌套在机制模型中的预测方法。从实验结果来看,该方法能够更好地解决上述问题,更好地适应非洲国家 COVID-19 疫情的传播特征。

方法

基于 SIRV 模型,利用 Worldometer 上的数据,对 2021 年 9 月至 2022 年 1 月 COVID-19 确诊病例累计数排名前 15 的非洲国家(南非、摩洛哥、突尼斯、利比亚、埃及、埃塞俄比亚、肯尼亚、赞比亚、阿尔及利亚、博茨瓦纳、尼日利亚、津巴布韦、莫桑比克、乌干达和加纳)的 COVID-19 传播率和趋势进行拟合。使用非自回归(NAR)、长短时记忆(LSTM)、自回归综合移动平均(ARIMA)模型、高斯和多项式函数,预测未来 7、14 和 21 天的传播率β。然后,将预测的传播率βs代入 SIRV 模型,预测 COVID-19 活跃病例数。采用均方根误差(RMSE)和平均绝对百分比误差(MAPE)进行误差分析。

结果

7、14 和 21 天的拟合曲线与每日活跃病例(DAC)的原始曲线一致,且高于原始曲线。7 天 DAC 的拟合值与原始值之间的 MAPE 仅为 1.15%,且随着预测天数的增加而增加。NAR 和 LSTM 嵌套模型预测的未来 7、14 和 21 天的β和 DAC 均比其他三种模型更接近真实值。当阶数为 10 时,未来 7、14 和 21 天 COVID-19 活跃病例数的最小 RMSE 分别为 12974、14152 和 12211 人,最小 MAPE 分别为 1.79%、1.97%和 1.64%。

结论

通过功能化β,将 SIRV 模型与 NAR、LSTM、ARIMA 等方法嵌套,可以获得比这些模型/方法单独对非洲 COVID-19 确诊病例数进行拟合和预测更准确的结果,其中 NAR 嵌套的 14 天和 21 天预测精度最高。嵌套模型对早期了解 COVID-19 疾病负担和为应对措施做好准备具有重要意义。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c3b/9854066/0f07dc066a69/12889_2023_14992_Fig1_HTML.jpg

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