混沌理论在COVID-19数据分析中的应用

Nurul Umirah Mohd Fauzi, Muhammad Al-Aniq Abu Bakar, Nurul Hidayah Zolkply, Siti Hidayah Muhad Saleh, M. L. Sapini, N. M. Yusof
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摘要

本研究利用最大李雅普诺夫指数(LLE)对COVID-19时间序列数据中存在的混沌行为进行了研究,并利用混沌指标工具Logistic Map预测了2023年之前每日新增感染病例的结果。本研究还选择了另一种数学模型线性回归,通过比较两种方法来验证Logistic Map的准确性。采用均方误差(Mean Square Error, MSE)对两种方法进行比较分析。这些数据是从2020年1月底到12月初收集的,涉及马来西亚、中国、新加坡、美国和意大利。结果表明,被测国家存在混沌行为。与此同时,预测显示有些国家的病例正在减少,有些国家的病例正在增加。©2022作者。
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The application of chaos theory in COVID-19 data analysis
This research presents a study on the existence of chaotic behaviour in COVID-19 time series data using the Largest Lyapunov Exponent (LLE) and forecasts the outcome of the new daily cases of infected people until 2023 by chaos indicators tools, Logistic Map. The study also chooses another mathematical model, Linear Regression, to verify the accuracy of the Logistic Map by comparing both methods. The comparison between these methods is analyzed by using Mean Square Error (MSE). The data was collected from the end of January until early December 2020 involving Malaysia, China, Singapore, the USA and Italy. The result shows the countries tested have the existence of chaotic behaviour. Meanwhile, forecasting depicts some countries whose cases are declining and some are increasing. © 2022 Author(s).
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