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本文引用的文献

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A Time-Dependent SIR Model for COVID-19 With Undetectable Infected Persons.一种针对新冠病毒病(COVID-19)且存在未被检测出感染者的时间依赖性易感-感染-康复(SIR)模型
IEEE Trans Netw Sci Eng. 2020 Sep 18;7(4):3279-3294. doi: 10.1109/TNSE.2020.3024723. eCollection 2020 Oct 1.
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Novel coronavirus 2019-nCoV (COVID-19): early estimation of epidemiological parameters and epidemic size estimates.新型冠状病毒 2019-nCoV (COVID-19):流行病学参数和疫情规模的早期估计。
Philos Trans R Soc Lond B Biol Sci. 2021 Jul 19;376(1829):20200265. doi: 10.1098/rstb.2020.0265. Epub 2021 May 31.
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Real-World Implications of a Rapidly Responsive COVID-19 Spread Model with Time-Dependent Parameters via Deep Learning: Model Development and Validation.通过深度学习构建具有时间依赖性参数的快速响应型新冠病毒传播模型的现实意义:模型开发与验证
J Med Internet Res. 2020 Sep 9;22(9):e19907. doi: 10.2196/19907.
4
Estimation of the Transmission Risk of the 2019-nCoV and Its Implication for Public Health Interventions.2019新型冠状病毒传播风险评估及其对公共卫生干预措施的启示
J Clin Med. 2020 Feb 7;9(2):462. doi: 10.3390/jcm9020462.
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Nowcasting and forecasting the potential domestic and international spread of the 2019-nCoV outbreak originating in Wuhan, China: a modelling study.实时预测和预报源自中国武汉的 2019-nCoV 疫情在国内和国际的潜在传播:一项建模研究。
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具有时间融合系数的SIR模型及其在美国新冠肺炎疫情中的应用

Time fused coefficient SIR model with application to COVID-19 epidemic in the United States.

作者信息

Yang Hou-Cheng, Xue Yishu, Pan Yuqing, Liu Qingyang, Hu Guanyu

机构信息

Department of Statistics, Florida State University, Tallahassee, FL, USA.

Department of Statistics, University of Connecticut, Storrs, CT, USA.

出版信息

J Appl Stat. 2021 Jun 4;50(11-12):2373-2387. doi: 10.1080/02664763.2021.1936467. eCollection 2023.

DOI:10.1080/02664763.2021.1936467
PMID:37529565
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10388833/
Abstract

In this paper, we propose a Susceptible-Infected-Removal (SIR) model with time fused coefficients. In particular, our proposed model discovers the underlying time homogeneity pattern for the SIR model's transmission rate and removal rate via Bayesian shrinkage priors. MCMC sampling for the proposed method is facilitated by the package in R. Extensive simulation studies are carried out to examine the empirical performance of the proposed methods. We further apply the proposed methodology to analyze different levels of COVID-19 data in the United States.

摘要

在本文中,我们提出了一种具有时间融合系数的易感-感染-移除(SIR)模型。具体而言,我们提出的模型通过贝叶斯收缩先验发现SIR模型传播率和移除率潜在的时间齐性模式。R语言中的软件包为所提方法的MCMC抽样提供了便利。我们进行了广泛的模拟研究以检验所提方法的实证性能。我们进一步应用所提方法来分析美国不同层面的新冠肺炎数据。