Modeling the spread of infections during an epidemiological outbreak using an improved mathematical model

Nouf Abd Elmunim
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Abstract

Pandemics occur periodically worldwide. An accurate forecasting model is therefore essential to estimate the effect of the pandemic and plan accordingly. This research aims to provide a solution that could help the world predict the number of infection cases during pandemics and prepare to accommodate subsequent cases. The mathematical Multiplicative Holt–Winter (M-HW) model was improved regarding the data used to provide an accurate forecast. The model was applied to the Coronavirus (COVID-19) data, where COVID-19 is the recent pandemic that affected all nations worldwide since 2019. Two different periods in Saudi Arabia were modelled to estimate COVID-19 cases. Based on the daily confirmed cases in February 2023 and February 2022, the model showed accuracy of 99.51 % and 99.66 %, respectively. A MAPE value in February 2023 ranges between 0.015 and 1.07, while it ranges between 0.032 and 2.269 in February 2022. Additionally, the RMSE in February 2023 was 0.35, while in February 2022 it was 6.88. The model proved to be accurate and highly efficient. Thus, M-HW model is useful to forecast the number of cases in different regions in case of a pandemic, which makes a significant contribution to mitigating the spread of the virus minimizing the epidemiological spread impact on healthcare systems and focusing on managing and containing the epidemiological spread.

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利用改进的数学模型模拟流行病爆发期间的感染传播
大流行病在世界各地定期发生。因此,准确的预测模型对于估计大流行病的影响并制定相应计划至关重要。这项研究旨在提供一种解决方案,帮助全世界预测大流行期间的感染病例数量,并为应对后续病例做好准备。为了提供准确的预测,对数学乘法霍尔特-温特(M-HW)模型所使用的数据进行了改进。该模型适用于冠状病毒(COVID-19)数据,其中 COVID-19 是自 2019 年以来影响全球所有国家的近期流行病。为估算 COVID-19 病例,对沙特阿拉伯的两个不同时期进行了建模。根据 2023 年 2 月和 2022 年 2 月的每日确诊病例,模型的准确率分别为 99.51 % 和 99.66 %。2023 年 2 月的 MAPE 值介于 0.015 和 1.07 之间,而 2022 年 2 月的 MAPE 值介于 0.032 和 2.269 之间。此外,2023 年 2 月的 RMSE 值为 0.35,而 2022 年 2 月的 RMSE 值为 6.88。该模型被证明是准确和高效的。因此,M-HW 模型可用于预测大流行时不同地区的病例数,这对减轻病毒传播、最大限度地减少流行病传播对医疗系统的影响以及集中管理和遏制流行病传播做出了重要贡献。
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来源期刊
Chaos, Solitons and Fractals: X
Chaos, Solitons and Fractals: X Mathematics-Mathematics (all)
CiteScore
5.00
自引率
0.00%
发文量
15
审稿时长
20 weeks
期刊最新文献
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