• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利:CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法,用中文像聊天一样搜索,搜遍4000万医学文献。AI智能推荐,让科研检索更轻松。

立即免费搜索

文件翻译

保留排版,准确专业,支持PDF/Word/PPT等文件格式,支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述,25分钟生成高质量综述,智能提取关键信息,辅助科研写作。

立即免费体验

一个简单但足够复杂的 -SIR 类型模型,用于新冠疫情实际数据。应用于意大利的案例。

A simple but complex enough -SIR type model to be used with COVID-19 real data. Application to the case of Italy.

作者信息

Ramos A M, Ferrández M R, Vela-Pérez M, Kubik A B, Ivorra B

机构信息

MOMAT Research Group, Interdisciplinary Mathematics Institute, Complutense University of Madrid, Spain.

Department of Computer Science, University of Almería, Spain.

出版信息

Physica D. 2021 Jul;421:132839. doi: 10.1016/j.physd.2020.132839. Epub 2021 Jan 1.

DOI:10.1016/j.physd.2020.132839
PMID:33424064
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7775262/
Abstract

Since the start of the COVID-19 pandemic in China many models have appeared in the literature, trying to simulate its dynamics. Focusing on modeling the biological and sociological mechanisms which influence the disease spread, the basic reference example is the SIR model. However, it is too simple to be able to model those mechanisms (including the three main types of control measures: social distancing, contact tracing and health system measures) to fit real data and to simulate possible future scenarios. A question, then, arises: how much and how do we need to complexify a SIR model? We develop a -SEIHQRD model, which may be the simplest one satisfying the mentioned requirements for arbitrary territories and can be simplified in particular cases. We show its very good performance in the Italian case and study different future scenarios.

摘要

自中国爆发新冠疫情以来,文献中出现了许多模型,试图模拟其动态变化。聚焦于对影响疾病传播的生物学和社会学机制进行建模,基本的参考范例是SIR模型。然而,它过于简单,无法对这些机制(包括三种主要的控制措施:社交距离、接触者追踪和卫生系统措施)进行建模以拟合实际数据并模拟未来可能的情况。于是,一个问题出现了:我们需要在多大程度上以及如何使SIR模型复杂化?我们开发了一个-SEIHQRD模型,它可能是满足任意地区上述要求的最简单模型,并且在特定情况下可以简化。我们展示了它在意大利案例中的良好表现,并研究了不同的未来情况。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/ec3ab9f17a9f/gr6_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/2c9bf828ac1f/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/ca85888a49e6/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/8cc61a5fe588/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/7a14f612286e/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/6fd9b1d4834c/gr5_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/ec3ab9f17a9f/gr6_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/2c9bf828ac1f/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/ca85888a49e6/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/8cc61a5fe588/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/7a14f612286e/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/6fd9b1d4834c/gr5_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9069/7775262/ec3ab9f17a9f/gr6_lrg.jpg

相似文献

1
A simple but complex enough -SIR type model to be used with COVID-19 real data. Application to the case of Italy.一个简单但足够复杂的 -SIR 类型模型,用于新冠疫情实际数据。应用于意大利的案例。
Physica D. 2021 Jul;421:132839. doi: 10.1016/j.physd.2020.132839. Epub 2021 Jan 1.
2
Modeling the impact of SARS-CoV-2 variants and vaccines on the spread of COVID-19.模拟新冠病毒变异株和疫苗对新冠疫情传播的影响。
Commun Nonlinear Sci Numer Simul. 2021 Nov;102:105937. doi: 10.1016/j.cnsns.2021.105937. Epub 2021 Jun 24.
3
Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China.考虑未检测到感染情况的2019冠状病毒病(COVID-19)传播的数学模型。以中国为例。
Commun Nonlinear Sci Numer Simul. 2020 Sep;88:105303. doi: 10.1016/j.cnsns.2020.105303. Epub 2020 Apr 30.
4
Network model and analysis of the spread of Covid-19 with social distancing.新冠疫情社交距离下传播的网络模型与分析
Appl Netw Sci. 2020;5(1):100. doi: 10.1007/s41109-020-00344-5. Epub 2020 Dec 29.
5
Quantifying the Effects of Social Distancing on the Spread of COVID-19.量化社交隔离对 COVID-19 传播的影响。
Int J Environ Res Public Health. 2021 May 23;18(11):5566. doi: 10.3390/ijerph18115566.
6
Social contacts, epidemic spreading and health system. Mathematical modeling and applications to COVID-19 infection.社会联系、传染病传播和卫生系统。数学建模及其在 COVID-19 感染中的应用。
Math Biosci Eng. 2021 Apr 15;18(4):3384-3403. doi: 10.3934/mbe.2021169.
7
Assessment of the SARS-CoV-2 basic reproduction number, , based on the early phase of COVID-19 outbreak in Italy.基于意大利新冠疫情早期阶段对严重急性呼吸综合征冠状病毒2(SARS-CoV-2)基本繁殖数\(R_0\)的评估。
Biosaf Health. 2020 Jun;2(2):57-59. doi: 10.1016/j.bsheal.2020.03.004. Epub 2020 Apr 2.
8
A multiregional extension of the SIR model, with application to the COVID-19 spread in Italy.SIR模型的多区域扩展及其在意大利COVID-19传播中的应用。
Math Methods Appl Sci. 2021 Apr;44(6):4414-4427. doi: 10.1002/mma.7039. Epub 2020 Nov 23.
9
A study of SARS-CoV-2 epidemiology in Italy: from early days to secondary effects after social distancing.意大利 SARS-CoV-2 流行病学研究:从早期到社交隔离后的二次效应。
Infect Dis (Lond). 2020 Nov-Dec;52(12):866-876. doi: 10.1080/23744235.2020.1797157. Epub 2020 Jul 30.
10
A simple modification to the classical SIR model to estimate the proportion of under-reported infections using case studies in flu and COVID-19.对经典的SIR模型进行简单修改,以利用流感和新冠疫情中的案例研究来估计未报告感染的比例。
Infect Dis Model. 2024 Jun 16;9(4):1147-1162. doi: 10.1016/j.idm.2024.06.002. eCollection 2024 Dec.

引用本文的文献

1
Mathematical Contact Tracing Models for the COVID-19 Pandemic: A Systematic Review of the Literature.COVID-19大流行的数学接触者追踪模型:文献系统综述
Healthcare (Basel). 2025 Apr 18;13(8):935. doi: 10.3390/healthcare13080935.
2
Disentangling the role of virus infectiousness and awareness-based human behavior during the early phase of the COVID-19 pandemic in the European Union.解析新冠疫情早期阶段欧盟地区病毒传染性与基于认知的人类行为所起的作用。
Appl Math Model. 2023 Oct;122:187-199. doi: 10.1016/j.apm.2023.05.027. Epub 2023 May 29.
3
Measuring the impact of social-distancing, testing, and undetected asymptomatic cases on the diffusion of COVID-19.

本文引用的文献

1
Complete Analysis of the Epidemiological Scenario around a SARS-CoV-2 Reinfection: Previous Infection Events and Subsequent Transmission.SARS-CoV-2 再感染的流行病学情况全面分析:既往感染事件与后续传播。
mSphere. 2021 Oct 27;6(5):e0059621. doi: 10.1128/mSphere.00596-21. Epub 2021 Sep 8.
2
Transmission of SARS-COV-2 Infections in Households - Tennessee and Wisconsin, April-September 2020.2020 年 4 月至 9 月,田纳西州和威斯康星州家庭中 SARS-CoV-2 感染的传播。
MMWR Morb Mortal Wkly Rep. 2020 Nov 6;69(44):1631-1634. doi: 10.15585/mmwr.mm6944e1.
3
The role of environmental factors on transmission rates of the COVID-19 outbreak: an initial assessment in two spatial scales.
衡量社交距离、检测和未检出无症状病例对 COVID-19 传播的影响。
PLoS One. 2022 Aug 25;17(8):e0273469. doi: 10.1371/journal.pone.0273469. eCollection 2022.
4
The stochastic -SEIHRD model: Adding randomness to the COVID-19 spread.随机 -SEIHRD模型:为新冠病毒传播增添随机性。
Commun Nonlinear Sci Numer Simul. 2022 Dec;115:106731. doi: 10.1016/j.cnsns.2022.106731. Epub 2022 Jul 23.
5
Predictive approach of COVID-19 propagation via multiple-terms sigmoidal transition model.基于多阶Sigmoid转换模型的新型冠状病毒肺炎传播预测方法
Infect Dis Model. 2022 Sep;7(3):387-399. doi: 10.1016/j.idm.2022.06.008. Epub 2022 Jul 1.
6
A population structure-sensitive mathematical model assessing the effects of vaccination during the third surge of COVID-19 in Italy.一个评估意大利新冠疫情第三次高峰期间疫苗接种效果的人口结构敏感数学模型。
J Math Anal Appl. 2022 Oct 15;514(2):125975. doi: 10.1016/j.jmaa.2021.125975. Epub 2021 Dec 30.
7
Modeling the impact of SARS-CoV-2 variants and vaccines on the spread of COVID-19.模拟新冠病毒变异株和疫苗对新冠疫情传播的影响。
Commun Nonlinear Sci Numer Simul. 2021 Nov;102:105937. doi: 10.1016/j.cnsns.2021.105937. Epub 2021 Jun 24.
8
International trade as critical parameter of COVID-19 spread that outclasses demographic, economic, environmental, and pollution factors.国际贸易是 COVID-19 传播的关键参数,超过了人口、经济、环境和污染因素。
Environ Res. 2021 Oct;201:111514. doi: 10.1016/j.envres.2021.111514. Epub 2021 Jun 15.
9
A mathematical model for the spread of COVID-19 and control mechanisms in Saudi Arabia.沙特阿拉伯COVID-19传播及控制机制的数学模型
Adv Differ Equ. 2021;2021(1):253. doi: 10.1186/s13662-021-03410-z. Epub 2021 May 14.
10
Nonlinear science against the COVID-19 pandemic.应对新冠疫情的非线性科学
Physica D. 2021 Oct;424:132946. doi: 10.1016/j.physd.2021.132946. Epub 2021 Apr 30.
环境因素对 COVID-19 爆发传播率的影响:两个空间尺度上的初步评估。
Sci Rep. 2020 Oct 12;10(1):17002. doi: 10.1038/s41598-020-74089-7.
4
A network model of Italy shows that intermittent regional strategies can alleviate the COVID-19 epidemic.意大利的一个网络模型显示,间歇性的区域性策略可以缓解 COVID-19 疫情。
Nat Commun. 2020 Oct 9;11(1):5106. doi: 10.1038/s41467-020-18827-5.
5
European and US lockdowns and second waves during the COVID-19 pandemic.欧洲和美国在 COVID-19 大流行期间的封锁和第二波疫情。
Math Biosci. 2020 Dec;330:108472. doi: 10.1016/j.mbs.2020.108472. Epub 2020 Sep 24.
6
The geography of COVID-19 spread in Italy and implications for the relaxation of confinement measures.意大利新冠病毒传播的地理分布及其对解除限制措施的影响。
Nat Commun. 2020 Aug 26;11(1):4264. doi: 10.1038/s41467-020-18050-2.
7
Assessment of the SARS-CoV-2 basic reproduction number, , based on the early phase of COVID-19 outbreak in Italy.基于意大利新冠疫情早期阶段对严重急性呼吸综合征冠状病毒2(SARS-CoV-2)基本繁殖数\(R_0\)的评估。
Biosaf Health. 2020 Jun;2(2):57-59. doi: 10.1016/j.bsheal.2020.03.004. Epub 2020 Apr 2.
8
A guide to R - the pandemic's misunderstood metric.R指南——疫情中被误解的指标。
Nature. 2020 Jul;583(7816):346-348. doi: 10.1038/d41586-020-02009-w.
9
COVID-19: Development of a robust mathematical model and simulation package with consideration for ageing population and time delay for control action and resusceptibility.新型冠状病毒肺炎:构建一个稳健的数学模型和模拟程序包,其中考虑了老龄化人口以及控制措施和再感染易感性方面的时间延迟。
Physica D. 2020 Oct;411:132599. doi: 10.1016/j.physd.2020.132599. Epub 2020 Jun 9.
10
The COVID-19 Infection in Italy: A Statistical Study of an Abnormally Severe Disease.意大利的新冠病毒感染:一种异常严重疾病的统计研究
J Clin Med. 2020 May 21;9(5):1564. doi: 10.3390/jcm9051564.