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山西省输入性新冠肺炎传播的离散时间分析。

Analysis of COVID-19 transmission in Shanxi Province with discrete time imported cases.

机构信息

School of Mathematics, Taiyuan University of Technology, Taiyuan, 030024, China.

Department of Mathematics, North University of China, Taiyuan, 030051, China.

出版信息

Math Biosci Eng. 2020 May 21;17(4):3710-3720. doi: 10.3934/mbe.2020208.

Abstract

Since December 2019, an outbreak of a novel coronavirus pneumonia (WHO named COVID-19) swept across China. In Shanxi Province, the cumulative confirmed cases finally reached 133 since the first confirmed case appeared on January 22, 2020, and most of which were imported cases from Hubei Province. Reasons for this ongoing surge in Shanxi province, both imported and autochthonous infected cases, are currently unclear and demand urgent investigation. In this paper, we developed a SEIQR difference-equation model of COVID-19 that took into account the transmission with discrete time imported cases, to perform assessment and risk analysis. Our findings suggest that if the lock-down date in Wuhan is earlier, the infectious cases are fewer. Moreover, we reveal the effects of city lock-down date on the final scale of cases: if the date is advanced two days, the cases may decrease one half (67, 95% CI: 66-68); if the date is delayed for two days, the cases may reach about 196 (95% CI: 193-199). Our investigation model could be potentially helpful to study the transmission of COVID-19, in other provinces of China except Hubei. Especially, the method may also be used in countries with the first confirmed case is imported.

摘要

自 2019 年 12 月以来,一种新型冠状病毒肺炎(世界卫生组织命名为 COVID-19)在中国肆虐。在山西省,自 2020 年 1 月 22 日出现首例确诊病例以来,累计确诊病例最终达到 133 例,其中大部分为湖北省输入性病例。目前尚不清楚山西省为何会出现这种持续上升的情况,无论是输入性病例还是本地感染病例,都需要紧急调查。在本文中,我们开发了一个考虑到具有离散时间输入病例的传播的 COVID-19 的 SEIQR 差分方程模型,以进行评估和风险分析。我们的研究结果表明,如果武汉的封锁日期更早,感染人数就会更少。此外,我们揭示了城市封锁日期对病例最终规模的影响:如果日期提前两天,病例可能减少一半(67,95%CI:66-68);如果日期推迟两天,病例可能达到约 196(95%CI:193-199)。我们的调查模型可能有助于研究中国其他省份(除湖北省以外)的 COVID-19 传播。特别是,该方法也可能用于首例确诊病例为输入性病例的国家。

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