对 COVID-19 在中国的传播趋势进行建模和预测。

IF 4.1 3区 数学 Q1 Mathematics Advances in Difference Equations Pub Date : 2020-01-01 Epub Date: 2020-09-14 DOI:10.1186/s13662-020-02940-2
Deshun Sun, Li Duan, Jianyi Xiong, Daping Wang
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摘要

为了预测 COVID-19 在中国的传播趋势并提供有效的预防策略,我们建立了一个改进的 SEIR 模型。该模型的参数是根据中国国家卫生健康委员会(NHCC)从 1 月 10 日至 3 月 3 日发布的数据估算的。该模型用于预测疫情的传播趋势。通过调节参数,包括清除率、感染者日均接触易感者人数和暴露者日均接触易感者人数,探讨了影响疫情的关键因素。本研究建立的模型数据与国家卫生健康委员会发布的 1 月 10 日至 2 月 15 日数据之间的感染者相关性为 99.9%。移除、死亡和治愈的相关性分别为 99.8%、99.8% 和 99.6%。2 月 16 日至 3 月 3 日,感染、移除、死亡和治愈的平均预报误差率分别为 0.78%、0.75%、0.35% 和 0.83%。我们建立的模型预测的疫情高峰时间与国家卫生健康委员会发布的数据相吻合。因此,我们的研究建立了一个准确度较高的数学模型。上述参数对疫情趋势有明显影响,表明暴露人群和感染人群应严格隔离。如果清除率上升到 0.12,疫情将于 5 月 25 日结束。总之,所提出的数学模型准确预测了 COVID-19 在中国的传播趋势,该模型经适当修改后可应用于其他国家。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Modeling and forecasting the spread tendency of the COVID-19 in China.

To forecast the spread tendency of the COVID-19 in China and provide effective strategies to prevent the disease, an improved SEIR model was established. The parameters of our model were estimated based on collected data that were issued by the National Health Commission of China (NHCC) from January 10 to March 3. The model was used to forecast the spread tendency of the disease. The key factors influencing the epidemic were explored through modulation of the parameters, including the removal rate, the average number of the infected contacting the susceptible per day and the average number of the exposed contacting the susceptible per day. The correlation of the infected is 99.9% between established model data in this study and issued data by NHCC from January 10 to February 15. The correlation of the removed, the death and the cured are 99.8%, 99.8% and 99.6%, respectively. The average forecasting error rates of the infected, the removed, the death and the cured are 0.78%, 0.75%, 0.35% and 0.83%, respectively, from February 16 to March 3. The peak time of the epidemic forecast by our established model coincided with the issued data by NHCC. Therefore, our study established a mathematical model with high accuracy. The aforementioned parameters significantly affected the trend of the epidemic, suggesting that the exposed and the infected population should be strictly isolated. If the removal rate increases to 0.12, the epidemic will come to an end on May 25. In conclusion, the proposed mathematical model accurately forecast the spread tendency of COVID-19 in China and the model can be applied for other countries with appropriate modifications.

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4-8 weeks
期刊介绍: The theory of difference equations, the methods used, and their wide applications have advanced beyond their adolescent stage to occupy a central position in applicable analysis. In fact, in the last 15 years, the proliferation of the subject has been witnessed by hundreds of research articles, several monographs, many international conferences, and numerous special sessions. The theory of differential and difference equations forms two extreme representations of real world problems. For example, a simple population model when represented as a differential equation shows the good behavior of solutions whereas the corresponding discrete analogue shows the chaotic behavior. The actual behavior of the population is somewhere in between. The aim of Advances in Difference Equations is to report mainly the new developments in the field of difference equations, and their applications in all fields. We will also consider research articles emphasizing the qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations. Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.
期刊最新文献
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