Modelling the COVID-19 epidemic and implementation of population-wide interventions in Italy
Open accessAbstract
In Italy, 128,948 confirmed cases and 15,887 deaths of people who tested positive for SARS-CoV-2 were registered as of 5 April 2020. Ending the global SARS-CoV-2 pandemic requires implementation of multiple population-wide strategies, including social distancing, testing and contact tracing. We propose a new model that predicts the course of the epidemic to help plan an effective control strategy. The model considers eight stages of infection: susceptible (S), infected (I), diagnosed (D), ailing (A), recognized (R), threatened (T), healed (H) and extinct (E), collectively termed SIDARTHE. Our SIDARTHE model discriminates between infected individuals depending on whether they have been diagnosed and on the severity of their symptoms. The distinction between diagnosed and non-diagnosed individuals is important because the former are typically isolated and hence less likely to spread the infection. This delineation also helps to explain misperceptions of the case fatality rate and of the epidemic spread. We compare simulation results with real data on the COVID-19 epidemic in Italy, and we model possible scenarios of implementation of countermeasures. Our results demonstrate that restrictive social-distancing measures will need to be combined with widespread testing and contact tracing to end the ongoing COVID-19 pandemic.
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A thorough parameter sensitivity analysis has been worked out for the SIDARTHE model.
“A thorough parameter sensitivity analysis has been worked out for the SIDARTHE model2.”
From Modeling vaccination rollouts, SARS-CoV-2 variants and the requirement for non-pharmaceutical interventions in Italy (2021) · cites this paper as [2]
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Clinical characteristics of coronavirus disease 2019 in China
Guan, W.-J., Ni, Z.-Y., Hu, Y., Liang, W.-H., Ou, C.-Q., He, J.-X., Liu, L., Shan, H., Lei, C.-L., Hui, D. S. C., et al. (2020) · New England Journal of Medicine · doi:10.1056/nejmoa2002032 · Cited by 30,246 · see citing works
Feasibility of controlling COVID-19 outbreaks by isolation of cases and contacts
Hellewell, J., Abbott, S., Gimma, A., Bosse, N. I., Jarvis, C. I., Russell, T. W., Munday, J. D., Kucharski, A. J., Edmunds, W. J., Sun, F., et al. (2020) · The Lancet Global Health · doi:10.1016/s2214-109x(20)30074-7 · Cited by 2,550 · see citing works
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Research works printed but not linked: 45
- [1]Velavan TP Meyer CG The COVID-19 epidemic Trop. Med. Int. Health 2020 25 278 280 10.1111/tmi.13383 32052514 PMC7169770 · DOI
- [2]Wu Z McGoogan JM Characteristics of and important lessons from the coronavirus disease 2019 (COVID-19) outbreak in China: summary of a report of 72,314 cases from the Chinese center for disease control and prevention JAMA 2020 323 1239 1242 10.1001/jama.2020.2648 32091533 · DOI · Paper page
- [5]Remuzzi A Remuzzi G COVID-19 and Italy: what next? Lancet Health Policy 2020 395 1225 1228 PMC7102589 32178769
- [10]Wang Y Wang Y Chen Y Quin Q Unique epidemiological and clinical features of the emerging 2019 novel coronavirus pneumonia (COVID-19) implicate special control measures J. Med. Virol. 2020 92 568 576 10.1002/jmv.25748 32134116 PMC7228347 · DOI
- [11]Fisman, D., Rivers, C., Lofgren, E. & Majumder, M. S. Estimation of MERS-Coronavirus reproductive number and case fatality rate for the Spring 2014 Saudi Arabia outbreak: insights from publicly available data. PLoS Curr.10.1371/currents.outbreaks.98d2f8f3382d84f390736cd5f5fe133c (2014). PMC4322060 25685622 · DOI
- [12]Zhao S Preliminary estimation of the basic reproduction number of novel coronavirus (2019-nCoV) in China, from 2019 to 2020: a data-driven analysis in the early phase of the outbreak Int. J. Inf. Dis. 2020 92 214 217 10.1016/j.ijid.2020.01.050 32007643 PMC7110798 · DOI
- [13]Read, J., Bridgen, J. R., Cummings, D. A. T., Ho, A. & Jewell, C. P. Novel coronavirus 2019-nCoV: early estimation of epidemiological parameters and epidemic predictions. Preprint at medRxiv10.1101/2020.01.23.20018549 (2020). PMC8165596 34053269
- [14]Zou L SARS-CoV-2 viral load in upper respiratory specimens of infected patients N. Engl. J. Med. 2020 382 1177 1179 10.1056/NEJMc2001737 32074444 PMC7121626 · DOI
- [15]Anderson, R. M. & May, R. M. Infectious Diseases of Humans (Oxford Univ. Press, 1991).
- [16]Diekmann, O. & Heesterbeek, J. A. P. Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation (Wiley, 2000).
- [17]Hethcote HW The mathematics of infectious diseases SIAM Rev. 2000 42 599 653 10.1137/S0036144500371907 · DOI
- [18]Brauer, F. & Castillo-Chavez, C. Mathematical Models in Population Biology and Epidemiology 2nd edn (Springer, 2012).
- [19]Kermack WO McKendrick AG A contribution to the mathematical theory of epidemics Proc. R. Soc. Lond. 1927 115 700 721
- [20]Lin Q A conceptual model for the coronavirus disease 2019 (COVID-19) outbreak in Wuhan, China with individual reaction and governmental action Int. J. Inf. Dis. 2020 93 211 216 10.1016/j.ijid.2020.02.058 32145465 PMC7102659 · DOI
- [21]Anastassopoulou C Russo L Tsakris A Siettos C Data-based analysis, modelling and forecasting of the COVID-19 outbreak PLoS One 2020 15 e0230405 10.1371/journal.pone.0230405 32231374 PMC7108749 · DOI
- [22]Casella, F. Can the COVID-19 epidemic be managed on the basis of daily data? Preprint at https://arxiv.org/abs/2003.06967 (2020). · arXiv
- [23]Wu J Estimating clinical severity of COVID-19 from the transmission dynamics in Wuhan, China Nat. Med. 2020 26 506 510 10.1038/s41591-020-0822-7 32284616 PMC7094929 · DOI
- [25]Kucharski, A. J. et al. Early dynamics of transmission and control of COVID-19: a mathematical modelling study. Lancet Global Health10.1016/S1473-3099(20)30144-4 (2020). PMC7158569 32171059
- [26]Gumel, A. B. et al. Modelling strategies for controlling SARS outbreaks. Proc. R. Soc. B Biol. Sci. 10.1098/rspb.2004.2800 (2004). PMC1691853 15539347 · DOI
- [27]Lan, L. et al. Positive RT-PCR test results in patients recovered from COVID-19. JAMA10.1001/jama.2020.2783 (2020). PMC7047852 32105304
- [28]Peto J Covid-19 mass testing facilities could end the epidemic rapidly Br. Med. J. 2020 368 m1163 10.1136/bmj.m1163 32201376 · DOI
- [29]Corman VM Detection of 2019 novel coronavirus (2019-nCoV) by real-time RT-PCR Euro Surveill. 2020 25 2000045 PMC6988269 31992387
- [30]Li, Z. et al. Development and clinical application of a rapid IgM-IgG combined antibody test for SARS-CoV-2 infection diagnosis. J. Med. Virol. 10.1002/jmv.25727 (2020). PMC7228300 32104917 · DOI
- [31]Roosa K Short-term forecasts of the COVID-19 epidemic in Guangdong and Zhejiang, China: February 13–23, 2020 J. Clin. Med. 2020 9 E596 10.3390/jcm9020596 32098289 PMC7073898 · DOI
- [32]Wang C Risk management of COVID-19 by universities in China J. Risk Financ. Manag. 2020 13 36 10.3390/jrfm13020036 · DOI
- [33]Ji Y Ma Z Peppelenbosch MP Pan Q Potential association between COVID-19 mortality and health-care resource availability Lancet Global Health 2020 8 e480 10.1016/S2214-109X(20)30068-1 32109372 PMC7128131 · DOI · Paper page
- [34]Wang M Remdesivir and chloroquine effectively inhibit the recently emerged novel coronavirus (2019-nCoV) in vitro Cell Res. 2020 30 269 271 10.1038/s41422-020-0282-0 32020029 PMC7054408 · DOI
- [35]Chang, Y.-C. et al. Potential therapeutic agents for COVID-19 based on the analysis of protease and RNA polymerase docking. Preprint at Preprints https://www.preprints.org/manuscript/202002.0242/v1
- [36]Diao, B. et al. Reduction and functional exhaustion of T cells in patients with coronavirus disease 2019 (COVID-19). Preprint at medRxiv10.1101/2020.02.18.20024364 (2020). PMC7205903 32425950
- [37]Chen, W.-H., Strych, U., Hotez, P. J. & Bottazzi, M. E. The SARS-CoV-2 vaccine pipeline: an overview. Curr. Trop. Med. Rep.10.1007/s40475-020-00201-6 (2020). PMC7094941 32219057 · DOI
- [39]Chen D Recurrence of positive SARS-CoV-2 RNA in COVID-19: a case report Int. J. Infect. Dis. 2020 93 297 299 10.1016/j.ijid.2020.03.003 32147538 PMC7129213 · DOI
- [40]Zhou L Cause analysis and treatment strategies of ‘recurrence’ with novel coronavirus pneumonia (covid-19) patients after discharge from hospital Zhonghua Jie He He Hu Xi Za Zhi 2020 43 E028 32118391
- [41]Houser KV Enhanced inflammation in New Zealand white rabbits when MERS-CoV reinfection occurs in the absence of neutralizing antibody PLoS Pathog. 2017 13 e1006565 10.1371/journal.ppat.1006565 28817732 PMC5574614 · DOI
- [42]Hemida MG Longitudinal study of middle east respiratory syndrome coronavirus infection in dromedary camel herds in Saudi Arabia, 2014–2015 Emerg. Microbes Infect. 2017 6 e56 10.1038/emi.2017.44 28634355 PMC5520318 · DOI
- [43]Subbarao K Prior infection and passive transfer of neutralizing antibody prevent replication of severe acute respiratory syndrome coronavirus in the respiratory tract of mice J. Virol. 2004 78 3572 3577 10.1128/JVI.78.7.3572-3577.2004 15016880 PMC371090 · DOI
- [44]Ji, N.-L. et al. Clinical features of pediatric patients with COVID-19: a report of two family cluster cases. World J. Pediatr.10.1007/s12519-020-00356-2 (2020). PMC7091281 32180140 · DOI
- [45]Qian, G. et al. A COVID-19 transmission within a family cluster by presymptomatic infectors in China. Clin. Infect. Dis. 10.1093/cid/ciaa316 (2020). PMC7184331 32201889 · DOI
- [46]Fineberg, H. V. Ten weeks to crush the curve. N. Engl. J. Med. 10.1056/NEJMe2007263 (2020). 32237671 · DOI
- [48]Pung R Investigation of three clusters of COVID-19 in Singapore: implications for surveillance and response measures Lancet 2020 395 1039 1046 10.1016/S0140-6736(20)30528-6 32192580 PMC7269710 · DOI
- [49]Rothe C Transmission of 2019-nCoV infection from an asymptomatic contact in Germany N. Engl. J. Med. 2020 382 970 971 10.1056/NEJMc2001468 32003551 PMC7120970 · DOI
- [50]Kimball A Asymptomatic and presymptomatic SARS-CoV-2 infections in residents of a long-term care skilled nursing facility. King County, Washington, March 2020 Morb. Mortal Wkly Rep. 2020 69 377 381 10.15585/mmwr.mm6913e1 PMC7119514 32240128 · DOI
- [51]Nishiura H Linton NM Akhmetzhanov AR Serial interval of novel coronavirus (COVID-19) infections Int. J. Infect. Dis. 2020 93 284 286 10.1016/j.ijid.2020.02.060 32145466 PMC7128842 · DOI
- [52]Du Z Serial interval of COVID-19 among publicly reported confirmed cases Emerg. Infect. Dis. 2020 26 6 PMC7258488 32191173
- [53]King AA Avoidable errors in the modelling of outbreaks of emerging pathogens, with special reference to Ebola Proc. Biol. Sci. 2015 282 20150347 10.1098/rspb.2015.0347 25833863 PMC4426634 · DOI
- [54]Dowd, J. B. et al. Demographic science aids in understanding the spread and fatality rates of COVID-19. OSF https://osf.io/fd4rh (2020). PMC7211934 32300018
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“A variety of approaches has been proposed for studying the impact of nonpharmaceutical measures on the spread of SARS-CoV-2.”
BackgroundInfluentialMcKenna, B. G., Huang, Y., Vervier, K., Hofammann, D., Cafferata, M., Al-Momani, S., Lowenthal, F., Zhang, A., Koh, J.-Y., Thenuwara, S., et al. (2021) · Molecular Autism · doi:10.1186/s13229-021-00450-w · Cited by 11 · see citing works
- Authors
- Giordano, G., Blanchini, F., Bruno, R., Colaneri, P., Di Filippo, A., Di Matteo, A., & Colaneri, M.
- Affiliations
- University of Trento (IT)
- University of Udine (IT)
- University of Pavia (IT)
- Institute of Electronics, Computer and Telecommunication Engineering (IT)
- Policlinico San Matteo Fondazione (IT)
- Corresponding author
- Giordano, Giulia
- Venue
- Nature Medicine
- Published
- 2020-04-22
- Volume
- 26
- Issue
- 6
- Pages
- 855-860
- ISSN
- 1078-8956 (ISSN-L)
- 1546-170X
- PMC
- PMC7175834
- OpenAlex
- W3018782651
- Cited by
- 1,740
- References
- 2
- Citations by year
- 2026: 38 · 2025: 88 · 2024: 112 · 2023: 178 · 2022: 318 · 2021: 562 · 2020: 443 · 2017: 1
- FWCI
- 59.66
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Nature Medicine (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Virtual Community of Pathological Anatomy (University of Castilla La Mancha) (submittedVersion, other-oa)
- Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano) (submittedVersion, other-oa)
- Institutional Research Information System (University of Udine) (submittedVersion)
- Iris (University of Trento) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Ministero dell‘Istruzione, dell’Università e della Ricerca (PRIN 2017YKXYXJ)
- Topics
- Physical Sciences › Mathematics › Modeling and Simulation › COVID-19 epidemiological studies
- Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Mathematical and Theoretical Epidemiology and Ecology Models
- Social Sciences › Sociology and Political Science › COVID-19 Prevention and Impact
- Keywords
- COVID-19 pandemic, SARS-CoV-2, epidemic modeling, social distancing, case fatality rate, infection stage, epidemic control measures, Italy
- MeSH terms
- Betacoronavirus, COVID-19, SARS-CoV-2, Computer Simulation, Female, Humans, Italy, Male, Pneumonia, Viral, Quarantine, Coronavirus Infections, Pandemics
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