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Ocagli H, Brigiari G, Marcolin E, Mongillo M, Tonon M, Da Re F, Gentili D, Michieletto F, Russo F, Gregori D. Mathematical Contact Tracing Models for the COVID-19 Pandemic: A Systematic Review of the Literature. Healthcare (Basel) 2025; 13:935. [PMID: 40281884 PMCID: PMC12026787 DOI: 10.3390/healthcare13080935] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/11/2025] [Revised: 04/16/2025] [Accepted: 04/17/2025] [Indexed: 04/29/2025] Open
Abstract
Background: Contact tracing (CT) is a primary means of controlling infectious diseases, such as coronavirus disease 2019 (COVID-19), especially in the early months of the pandemic. Objectives: This work is a systematic review of mathematical models used during the COVID-19 pandemic that explicitly parameterise CT as a potential mitigator of the effects of the pandemic. Methods: This review is registered in PROSPERO. A comprehensive literature search was conducted using the PubMed, EMBASE, Cochrane Library, CINAHL, and Scopus databases. Two reviewers independently selected the title/abstract, full text, data extraction, and risk of bias. Disagreements were resolved through discussion. The characteristics of the studies and mathematical models were collected from each study. Results: A total of 53 articles out of 2101 were included. The modelling of the COVID-19 pandemic was the main objective of 23 studies, while the remaining articles evaluated the forecast transmission of COVID-19. Most studies used compartmental models to simulate COVID-19 transmission (26, 49.1%), while others used agent-based (16, 34%), branching processes (5, 9.4%), or other mathematical models (6). Most studies applying compartmental models consider CT in a separate compartment. Quarantine and basic reproduction numbers were also considered in the models. The quality assessment scores ranged from 13 to 26 of 28. Conclusions: Despite the significant heterogeneity in the models and the assumptions on the relevant model parameters, this systematic review provides a comprehensive overview of the models proposed to evaluate the COVID-19 pandemic, including non-pharmaceutical public health interventions such as CT. Prospero Registration: CRD42022359060.
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Affiliation(s)
- Honoria Ocagli
- Unit of Biostatistics, Epidemiology and Public Health, Department of Cardiac, Thoracic, Vascular Sciences, and Public Health, University of Padova, Via Loredan 18, 35122 Padova, Italy; (H.O.)
| | - Gloria Brigiari
- Directorate of Prevention, Food Safety, Veterinary Public Health, Veneto Region, 30123 Venice, Italy; (G.B.); (M.M.); (M.T.); (F.D.R.); (D.G.); (F.M.); (F.R.)
| | - Erica Marcolin
- Unit of Biostatistics, Epidemiology and Public Health, Department of Cardiac, Thoracic, Vascular Sciences, and Public Health, University of Padova, Via Loredan 18, 35122 Padova, Italy; (H.O.)
| | - Michele Mongillo
- Directorate of Prevention, Food Safety, Veterinary Public Health, Veneto Region, 30123 Venice, Italy; (G.B.); (M.M.); (M.T.); (F.D.R.); (D.G.); (F.M.); (F.R.)
| | - Michele Tonon
- Directorate of Prevention, Food Safety, Veterinary Public Health, Veneto Region, 30123 Venice, Italy; (G.B.); (M.M.); (M.T.); (F.D.R.); (D.G.); (F.M.); (F.R.)
| | - Filippo Da Re
- Directorate of Prevention, Food Safety, Veterinary Public Health, Veneto Region, 30123 Venice, Italy; (G.B.); (M.M.); (M.T.); (F.D.R.); (D.G.); (F.M.); (F.R.)
| | - Davide Gentili
- Directorate of Prevention, Food Safety, Veterinary Public Health, Veneto Region, 30123 Venice, Italy; (G.B.); (M.M.); (M.T.); (F.D.R.); (D.G.); (F.M.); (F.R.)
| | - Federica Michieletto
- Directorate of Prevention, Food Safety, Veterinary Public Health, Veneto Region, 30123 Venice, Italy; (G.B.); (M.M.); (M.T.); (F.D.R.); (D.G.); (F.M.); (F.R.)
| | - Francesca Russo
- Directorate of Prevention, Food Safety, Veterinary Public Health, Veneto Region, 30123 Venice, Italy; (G.B.); (M.M.); (M.T.); (F.D.R.); (D.G.); (F.M.); (F.R.)
| | - Dario Gregori
- Directorate of Prevention, Food Safety, Veterinary Public Health, Veneto Region, 30123 Venice, Italy; (G.B.); (M.M.); (M.T.); (F.D.R.); (D.G.); (F.M.); (F.R.)
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Schumacher J, Kühne L, Brüssermann S, Geisler B, Jäckle S. COVID-19 isolation and quarantine orders in Berlin-Reinickendorf (Germany): How many, how long and to whom? PLoS One 2024; 19:e0271848. [PMID: 38466677 PMCID: PMC10927113 DOI: 10.1371/journal.pone.0271848] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/07/2022] [Accepted: 02/08/2024] [Indexed: 03/13/2024] Open
Abstract
Isolating COVID-19 cases and quarantining their close contacts can prevent COVID-19 transmissions but also inflict harm. We analysed isolation and quarantine orders by the local public health agency in Berlin-Reinickendorf (Germany) and their dependence on the recommendations by the Robert Koch Institute, the national public health institute. Between 3 March 2020 and 18 December 2021 the local public health agency ordered 24 603 isolations (9.2 per 100 inhabitants) and 45 014 quarantines (17 per 100 inhabitants) in a population of 266 123. The mean contacts per case was 1.9. More days of quarantine per 100 inhabitants were ordered for children than for adults: 4.1 for children aged 0-6, 5.2 for children aged 7-17, 0.9 for adults aged 18-64 and 0.3 for senior citizens aged 65-110. The mean duration for isolation orders was 10.2 and for quarantine orders 8.2 days. We calculated a delay of 4 days between contact and quarantine order. 3484 contact persons were in quarantine when they developed an infection. This represents 8% of all individuals in quarantine and 14% of those in isolation. Our study quantifies isolation and quarantine orders, shows that children had been ordered to quarantine more than adults and that there were fewer school days lost to isolation or quarantine as compared to school closures. Our results indicate that the recommendations of the Robert Koch Institute had an influence on isolation and quarantine duration as well as contact identification and that the local public health agency was not able to provide rigorous contact tracing, as the mean number of contacts was lower than the mean number of contacts per person known from literature. Additionally, a considerable portion of the population underwent isolation or quarantine, with a notable number of cases emerging during the quarantine period.
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Affiliation(s)
- Jakob Schumacher
- Local Public Health Agency, Berlin, Germany
- Robert Koch Institute, Berlin, Germany
| | - Lisa Kühne
- Leibniz Institute for Prevention Research and Epidemiology - BIPS, Bremen, Germany
| | - Sophia Brüssermann
- Leibniz Institute for Prevention Research and Epidemiology - BIPS, Bremen, Germany
| | - Benjamin Geisler
- Fraunhofer Institute for Digital Medicine MEVIS, Lübeck, Germany
| | - Sonja Jäckle
- Fraunhofer Institute for Digital Medicine MEVIS, Lübeck, Germany
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