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Published in: BMC Infectious Diseases 1/2021

01-12-2021 | COVID-19 | Research article

A network-based model to explore the role of testing in the epidemiological control of the COVID-19 pandemic

Authors: Yapeng Cui, Shunjiang Ni, Shifei Shen

Published in: BMC Infectious Diseases | Issue 1/2021

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Abstract

Background

Testing is one of the most effective means to manage the COVID-19 pandemic. However, there is an upper bound on daily testing volume because of limited healthcare staff and working hours, as well as different testing methods, such as random testing and contact-tracking testing. In this study, a network-based epidemic transmission model combined with a testing mechanism was proposed to study the role of testing in epidemic control. The aim of this study was to determine how testing affects the spread of epidemics and the daily testing volume needed to control infectious diseases.

Methods

We simulated the epidemic spread process on complex networks and introduced testing preferences to describe different testing strategies. Different networks were generated to represent social contact between individuals. An extended susceptible-exposed-infected-recovered (SEIR) epidemic model was adopted to simulate the spread of epidemics in these networks. The model establishes a testing preference of between 0 and 1; the larger the testing preference, the higher the testing priority for people in close contact with confirmed cases.

Results

The numerical simulations revealed that the higher the priority for testing individuals in close contact with confirmed cases, the smaller the infection scale. In addition, the infection peak decreased with an increase in daily testing volume and increased as the testing start time was delayed. We also discovered that when testing and other measures were adopted, the daily testing volume required to keep the infection scale below 5% was reduced by more than 40% even if other measures only reduced individuals’ infection probability by 10%. The proposed model was validated using COVID-19 testing data.

Conclusions

Although testing could effectively inhibit the spread of infectious diseases and epidemics, our results indicated that it requires a huge daily testing volume. Thus, it is highly recommended that testing be adopted in combination with measures such as wearing masks and social distancing to better manage infectious diseases. Our research contributes to understanding the role of testing in epidemic control and provides useful suggestions for the government and individuals in responding to epidemics.
Literature
4.
go back to reference Reid S, Reid C, Vermund S. Antiretroviral therapy in sub-saharan africa: adherence lessons from tuberculosis and leprosy. Int J STD AIDS. 2004; 15(11):713–6.PubMedCrossRef Reid S, Reid C, Vermund S. Antiretroviral therapy in sub-saharan africa: adherence lessons from tuberculosis and leprosy. Int J STD AIDS. 2004; 15(11):713–6.PubMedCrossRef
5.
go back to reference Mendis K, Rietveld A, Warsame M, Bosman A, Greenwood B, Wernsdorfer WH. From malaria control to eradication: The who perspective. Trop Med Int Health. 2009; 14(7):802–9.PubMedCrossRef Mendis K, Rietveld A, Warsame M, Bosman A, Greenwood B, Wernsdorfer WH. From malaria control to eradication: The who perspective. Trop Med Int Health. 2009; 14(7):802–9.PubMedCrossRef
7.
go back to reference Sridhar S, To KK, Chan JF, Lau SK, Woo PC, Yuen K-Y. A systematic approach to novel virus discovery in emerging infectious disease outbreaks. J Mol Diagn. 2015; 17(3):230–41.PubMedCrossRef Sridhar S, To KK, Chan JF, Lau SK, Woo PC, Yuen K-Y. A systematic approach to novel virus discovery in emerging infectious disease outbreaks. J Mol Diagn. 2015; 17(3):230–41.PubMedCrossRef
8.
go back to reference Chan JF, Sridhar S, Yip CC, Lau SK, Woo PC. The role of laboratory diagnostics in emerging viral infections: the example of the middle east respiratory syndrome epidemic. J Microbiol. 2017; 55(3):172–82.PubMedPubMedCentralCrossRef Chan JF, Sridhar S, Yip CC, Lau SK, Woo PC. The role of laboratory diagnostics in emerging viral infections: the example of the middle east respiratory syndrome epidemic. J Microbiol. 2017; 55(3):172–82.PubMedPubMedCentralCrossRef
9.
go back to reference Perkins MD, Dye C, Balasegaram M, Bréchot C, Mombouli J-V, Røttingen J-A, Tanner M, Boehme CC. Diagnostic preparedness for infectious disease outbreaks. Lancet. 2017; 390(10108):2211–4.PubMedCrossRef Perkins MD, Dye C, Balasegaram M, Bréchot C, Mombouli J-V, Røttingen J-A, Tanner M, Boehme CC. Diagnostic preparedness for infectious disease outbreaks. Lancet. 2017; 390(10108):2211–4.PubMedCrossRef
10.
go back to reference Salathé M, Althaus CL, Neher R, Stringhini S, Hodcroft E, Fellay J, Zwahlen M, Senti G, Battegay M, Wilder-Smith A, et al. Covid-19 epidemic in switzerland: on the importance of testing, contact tracing and isolation. Swiss Med Wkly. 2020; 150(11-12):20225. Salathé M, Althaus CL, Neher R, Stringhini S, Hodcroft E, Fellay J, Zwahlen M, Senti G, Battegay M, Wilder-Smith A, et al. Covid-19 epidemic in switzerland: on the importance of testing, contact tracing and isolation. Swiss Med Wkly. 2020; 150(11-12):20225.
11.
go back to reference Vermund SH. Control of hiv epidemic: improve access to testing and art. Lancet HIV. 2017; 4(12):533–4.CrossRef Vermund SH. Control of hiv epidemic: improve access to testing and art. Lancet HIV. 2017; 4(12):533–4.CrossRef
12.
go back to reference Cohen MS, Chen YQ, McCauley M, Gamble T, Hosseinipour MC, Kumarasamy N, Hakim JG, Kumwenda J, Grinsztejn B, Pilotto JH, et al. Antiretroviral therapy for the prevention of hiv-1 transmission. N Engl J Med. 2016; 375(9):830–9.PubMedPubMedCentralCrossRef Cohen MS, Chen YQ, McCauley M, Gamble T, Hosseinipour MC, Kumarasamy N, Hakim JG, Kumwenda J, Grinsztejn B, Pilotto JH, et al. Antiretroviral therapy for the prevention of hiv-1 transmission. N Engl J Med. 2016; 375(9):830–9.PubMedPubMedCentralCrossRef
13.
go back to reference Grinsztejn B, Hosseinipour MC, Ribaudo HJ, Swindells S, Eron J, Chen YQ, Wang L, Ou S-S, Anderson M, McCauley M, et al. Effects of early versus delayed initiation of antiretroviral treatment on clinical outcomes of hiv-1 infection: results from the phase 3 hptn 052 randomised controlled trial. Lancet Infect Dis. 2014; 14(4):281–90.PubMedPubMedCentralCrossRef Grinsztejn B, Hosseinipour MC, Ribaudo HJ, Swindells S, Eron J, Chen YQ, Wang L, Ou S-S, Anderson M, McCauley M, et al. Effects of early versus delayed initiation of antiretroviral treatment on clinical outcomes of hiv-1 infection: results from the phase 3 hptn 052 randomised controlled trial. Lancet Infect Dis. 2014; 14(4):281–90.PubMedPubMedCentralCrossRef
14.
go back to reference Rydevik G, Innocent GT, Marion G, Davidson RS, White PC, Billinis C, Barrow P, Mertens PP, Gavier-Widén D, Hutchings MR. Using combined diagnostic test results to hindcast trends of infection from cross-sectional data. PLoS Comput Biol. 2016; 12(7):1004901.CrossRef Rydevik G, Innocent GT, Marion G, Davidson RS, White PC, Billinis C, Barrow P, Mertens PP, Gavier-Widén D, Hutchings MR. Using combined diagnostic test results to hindcast trends of infection from cross-sectional data. PLoS Comput Biol. 2016; 12(7):1004901.CrossRef
15.
go back to reference Hayes RJ, Donnell D, Floyd S, Mandla N, Bwalya J, Sabapathy K, Yang B, Phiri M, Schaap A, Eshleman SH, et al. Effect of universal testing and treatment on hiv incidence—hptn 071 (popart). N Engl J Med. 2019; 381(3):207–18.PubMedPubMedCentralCrossRef Hayes RJ, Donnell D, Floyd S, Mandla N, Bwalya J, Sabapathy K, Yang B, Phiri M, Schaap A, Eshleman SH, et al. Effect of universal testing and treatment on hiv incidence—hptn 071 (popart). N Engl J Med. 2019; 381(3):207–18.PubMedPubMedCentralCrossRef
16.
go back to reference Abdool Karim SS. Hiv-1 epidemic control — insights from test-and-treat trials. N Engl J Med. 2019; 381(3):286–8.PubMedCrossRef Abdool Karim SS. Hiv-1 epidemic control — insights from test-and-treat trials. N Engl J Med. 2019; 381(3):286–8.PubMedCrossRef
17.
go back to reference Iwuji CC, Orne-Gliemann J, Larmarange J, Balestre E, Thiebaut R, Tanser F, Okesola N, Makowa T, Dreyer J, Herbst K, et al. Universal test and treat and the hiv epidemic in rural south africa: a phase 4, open-label, community cluster randomised trial. Lancet HIV. 2018; 5(3):116–25.CrossRef Iwuji CC, Orne-Gliemann J, Larmarange J, Balestre E, Thiebaut R, Tanser F, Okesola N, Makowa T, Dreyer J, Herbst K, et al. Universal test and treat and the hiv epidemic in rural south africa: a phase 4, open-label, community cluster randomised trial. Lancet HIV. 2018; 5(3):116–25.CrossRef
18.
go back to reference Ortblad KF, Baeten JM, Cherutich P, Wamicwe JN, Wasserheit JN. The arc of hiv epidemics in sub-saharan africa: new challenges with concentrating epidemics in the era of 90–90–90. Curr Opin HIV AIDS. 2019; 14(5):354–65.PubMedPubMedCentralCrossRef Ortblad KF, Baeten JM, Cherutich P, Wamicwe JN, Wasserheit JN. The arc of hiv epidemics in sub-saharan africa: new challenges with concentrating epidemics in the era of 90–90–90. Curr Opin HIV AIDS. 2019; 14(5):354–65.PubMedPubMedCentralCrossRef
19.
go back to reference Lightfoot MA, Campbell CK, Moss N, Treves-Kagan S, Agnew E, Dufour M-SK, Scott H, Sa’id AM, Lippman SA. Using a social network strategy to distribute hiv self-test kits to african american and latino msm. J Acquir Immune Defic Syndr. 2018; 79(1):38–45.PubMedCrossRef Lightfoot MA, Campbell CK, Moss N, Treves-Kagan S, Agnew E, Dufour M-SK, Scott H, Sa’id AM, Lippman SA. Using a social network strategy to distribute hiv self-test kits to african american and latino msm. J Acquir Immune Defic Syndr. 2018; 79(1):38–45.PubMedCrossRef
20.
go back to reference Mirandola M, Gios L, Joanna Davis R, Furegato M, Breveglieri M, Folch C, Staneková D, Nita I, Stehlíková D. Socio-demographic factors predicting hiv test seeking behaviour among msm in 6 eu cities. Eur J Public Health. 2017; 27(2):313–8.PubMed Mirandola M, Gios L, Joanna Davis R, Furegato M, Breveglieri M, Folch C, Staneková D, Nita I, Stehlíková D. Socio-demographic factors predicting hiv test seeking behaviour among msm in 6 eu cities. Eur J Public Health. 2017; 27(2):313–8.PubMed
21.
go back to reference Mugabe D, Bhatt N, Carlucci JG, Gudo ES, Gong W, Sidat M, Moon TD. Self-reported non-receipt of hiv test results: A silent barrier to hiv epidemic control in mozambique. PLoS ONE. 2019; 14(10):0224102.CrossRef Mugabe D, Bhatt N, Carlucci JG, Gudo ES, Gong W, Sidat M, Moon TD. Self-reported non-receipt of hiv test results: A silent barrier to hiv epidemic control in mozambique. PLoS ONE. 2019; 14(10):0224102.CrossRef
22.
go back to reference Granich RM, Gilks CF, Dye C, De Cock KM, Williams BG. Universal voluntary hiv testing with immediate antiretroviral therapy as a strategy for elimination of hiv transmission: a mathematical model. Lancet. 2009; 373(9657):48–57.PubMedCrossRef Granich RM, Gilks CF, Dye C, De Cock KM, Williams BG. Universal voluntary hiv testing with immediate antiretroviral therapy as a strategy for elimination of hiv transmission: a mathematical model. Lancet. 2009; 373(9657):48–57.PubMedCrossRef
24.
go back to reference Ayoub HH, Awad SF, Abu-Raddad LJ. Use of routine hiv testing data for early detection of emerging hiv epidemics in high-risk subpopulations: a concept demonstration study. Infect Dis Model. 2018; 3:373–84.PubMedPubMedCentral Ayoub HH, Awad SF, Abu-Raddad LJ. Use of routine hiv testing data for early detection of emerging hiv epidemics in high-risk subpopulations: a concept demonstration study. Infect Dis Model. 2018; 3:373–84.PubMedPubMedCentral
25.
go back to reference Lorch L, Trouleau W, Tsirtsis S, Szanto A, Schölkopf B, Gomez-Rodriguez M. A spatiotemporal epidemic model to quantify the effects of contact tracing, testing, and containment. 2020. arXiv preprint arXiv:2004.07641. Lorch L, Trouleau W, Tsirtsis S, Szanto A, Schölkopf B, Gomez-Rodriguez M. A spatiotemporal epidemic model to quantify the effects of contact tracing, testing, and containment. 2020. arXiv preprint arXiv:2004.07641.
26.
go back to reference Scarselli D, Budanur NB, Hof B. Catastrophic failure of outbreak containment: Limited testing causes discontinuity in epidemic transition. 2020. arXiv preprint arXiv:2006.08005. Scarselli D, Budanur NB, Hof B. Catastrophic failure of outbreak containment: Limited testing causes discontinuity in epidemic transition. 2020. arXiv preprint arXiv:2006.08005.
27.
go back to reference Ng WL. To lockdown? when to peak? will there be an end? a macroeconomic analysis on covid-19 epidemic in the united states. J Macroecon. 2020; 65:103230.PubMedPubMedCentralCrossRef Ng WL. To lockdown? when to peak? will there be an end? a macroeconomic analysis on covid-19 epidemic in the united states. J Macroecon. 2020; 65:103230.PubMedPubMedCentralCrossRef
28.
go back to reference Berger DW, Herkenhoff KF, Mongey S. An seir infectious disease model with testing and conditional quarantine. Technical report, National Bureau of Economic Research. 2020. Berger DW, Herkenhoff KF, Mongey S. An seir infectious disease model with testing and conditional quarantine. Technical report, National Bureau of Economic Research. 2020.
29.
go back to reference Aronna MS, Guglielmi R, Moschen LM. A model for covid-19 with isolation, quarantine and testing as control measures. 2020. arXiv preprint arXiv:2005.07661. Aronna MS, Guglielmi R, Moschen LM. A model for covid-19 with isolation, quarantine and testing as control measures. 2020. arXiv preprint arXiv:2005.07661.
30.
go back to reference Kolumbus Y, Nisan N. On the effectiveness of tracking and testing in seir models. 2020. arXiv preprint arXiv:2007.06291. Kolumbus Y, Nisan N. On the effectiveness of tracking and testing in seir models. 2020. arXiv preprint arXiv:2007.06291.
31.
go back to reference Verma V, et al. Study of lockdown/testing mitigation strategies on stochastic sir model and its comparison with south korea, germany and new york data. 2020. arXiv preprint arXiv:2006.14373. Verma V, et al. Study of lockdown/testing mitigation strategies on stochastic sir model and its comparison with south korea, germany and new york data. 2020. arXiv preprint arXiv:2006.14373.
33.
go back to reference Villela DA. Imperfect testing of individuals for infectious diseases: Mathematical model and analysis. Commun Nonlinear Sci Numer Simul. 2017; 46:153–60.CrossRef Villela DA. Imperfect testing of individuals for infectious diseases: Mathematical model and analysis. Commun Nonlinear Sci Numer Simul. 2017; 46:153–60.CrossRef
34.
go back to reference Burstyn I, Goldstein ND, Gustafson P. It can be dangerous to take epidemic curves of covid-19 at face value. Can J Public Health. 2020; 111(3):397–400.PubMedCrossRefPubMedCentral Burstyn I, Goldstein ND, Gustafson P. It can be dangerous to take epidemic curves of covid-19 at face value. Can J Public Health. 2020; 111(3):397–400.PubMedCrossRefPubMedCentral
35.
go back to reference Pastor-Satorras R, Castellano C, Van Mieghem P, Vespignani A. Epidemic processes in complex networks. Rev Mod Phys. 2015; 87(3):925.CrossRef Pastor-Satorras R, Castellano C, Van Mieghem P, Vespignani A. Epidemic processes in complex networks. Rev Mod Phys. 2015; 87(3):925.CrossRef
36.
go back to reference Catanzaro M, Boguná M, Pastor-Satorras R. Generation of uncorrelated random scale-free networks. Phys Rev E. 2005; 71(2):027103.CrossRef Catanzaro M, Boguná M, Pastor-Satorras R. Generation of uncorrelated random scale-free networks. Phys Rev E. 2005; 71(2):027103.CrossRef
37.
go back to reference Holme P, Kim BJ. Growing scale-free networks with tunable clustering. Phys Rev E. 2002; 65(2):026107.CrossRef Holme P, Kim BJ. Growing scale-free networks with tunable clustering. Phys Rev E. 2002; 65(2):026107.CrossRef
38.
go back to reference Barabási A-L, Albert R. Emergence of scaling in random networks. Science. 1999; 286(5439):509–12.PubMedCrossRef Barabási A-L, Albert R. Emergence of scaling in random networks. Science. 1999; 286(5439):509–12.PubMedCrossRef
39.
go back to reference Colizza V, Barrat A, Barthelemy M, Valleron A-J, Vespignani A. Modeling the worldwide spread of pandemic influenza: baseline case and containment interventions. PLoS Med. 2007; 4(1):13.CrossRef Colizza V, Barrat A, Barthelemy M, Valleron A-J, Vespignani A. Modeling the worldwide spread of pandemic influenza: baseline case and containment interventions. PLoS Med. 2007; 4(1):13.CrossRef
40.
go back to reference Balcan D, Gonçalves B, Hu H, Ramasco JJ, Colizza V, Vespignani A. Modeling the spatial spread of infectious diseases: The global epidemic and mobility computational model. J Comput Sci. 2010; 1(3):132–45.PubMedPubMedCentralCrossRef Balcan D, Gonçalves B, Hu H, Ramasco JJ, Colizza V, Vespignani A. Modeling the spatial spread of infectious diseases: The global epidemic and mobility computational model. J Comput Sci. 2010; 1(3):132–45.PubMedPubMedCentralCrossRef
43.
go back to reference Wu JT, Leung G, Leung K. Nowcasting and forecasting the potential domestic and international spread of the 2019-ncov outbreak originating in Wuhan, China: a modelling study. Lancet. 2020; 395(10225):689–97.PubMedPubMedCentralCrossRef Wu JT, Leung G, Leung K. Nowcasting and forecasting the potential domestic and international spread of the 2019-ncov outbreak originating in Wuhan, China: a modelling study. Lancet. 2020; 395(10225):689–97.PubMedPubMedCentralCrossRef
45.
go back to reference Pratomo H. From social distancing to physical distancing: A challenge forevaluating public health intervention against covid-19. Kesmas. 2020; 15(2):60–3. Pratomo H. From social distancing to physical distancing: A challenge forevaluating public health intervention against covid-19. Kesmas. 2020; 15(2):60–3.
46.
go back to reference Ahmed F, Zviedrite N, Uzicanin A. Effectiveness of workplace social distancing measures in reducing influenza transmission: a systematic review. BMC Public Health. 2018; 18(1):518.PubMedPubMedCentralCrossRef Ahmed F, Zviedrite N, Uzicanin A. Effectiveness of workplace social distancing measures in reducing influenza transmission: a systematic review. BMC Public Health. 2018; 18(1):518.PubMedPubMedCentralCrossRef
47.
go back to reference Weng W, Ni S. Evaluation of containment and mitigation strategies for an influenza a pandemic in china. Simulation. 2015; 91(5):407–16.CrossRef Weng W, Ni S. Evaluation of containment and mitigation strategies for an influenza a pandemic in china. Simulation. 2015; 91(5):407–16.CrossRef
48.
go back to reference Migliori GB, Nardell E, Yedilbayev A, D’Ambrosio L, Centis R, Tadolini M, Van Den Boom M, Ehsani S, Sotgiu G, Dara M. Reducing tuberculosis transmission: a consensus document from the world health organization regional office for Europe. Eur Respir J. 2019; 53(6):1900391.PubMedCrossRef Migliori GB, Nardell E, Yedilbayev A, D’Ambrosio L, Centis R, Tadolini M, Van Den Boom M, Ehsani S, Sotgiu G, Dara M. Reducing tuberculosis transmission: a consensus document from the world health organization regional office for Europe. Eur Respir J. 2019; 53(6):1900391.PubMedCrossRef
49.
go back to reference Xiao J, Shiu EY, Gao H, Wong JY, Fong MW, Ryu S, Cowling BJ. Nonpharmaceutical measures for pandemic influenza in nonhealthcare settings—personal protective and environmental measures. Emerg Infect Dis. 2020; 26(5):967.PubMedPubMedCentralCrossRef Xiao J, Shiu EY, Gao H, Wong JY, Fong MW, Ryu S, Cowling BJ. Nonpharmaceutical measures for pandemic influenza in nonhealthcare settings—personal protective and environmental measures. Emerg Infect Dis. 2020; 26(5):967.PubMedPubMedCentralCrossRef
51.
go back to reference Leung NH, Chu DK, Shiu EY, Chan K-H, McDevitt JJ, Hau BJ, Yen H-L, Li Y, Ip DK, Peiris JM, et al. Respiratory virus shedding in exhaled breath and efficacy of face masks. Nat Med. 2020; 26(5):676–80.PubMedCrossRefPubMedCentral Leung NH, Chu DK, Shiu EY, Chan K-H, McDevitt JJ, Hau BJ, Yen H-L, Li Y, Ip DK, Peiris JM, et al. Respiratory virus shedding in exhaled breath and efficacy of face masks. Nat Med. 2020; 26(5):676–80.PubMedCrossRefPubMedCentral
53.
go back to reference Brault V, Mallein B, Rupprecht J-F. Group testing as a strategy for the epidemiologic monitoring of covid-19. 2020. arXiv preprint arXiv:2005.06776. Brault V, Mallein B, Rupprecht J-F. Group testing as a strategy for the epidemiologic monitoring of covid-19. 2020. arXiv preprint arXiv:2005.06776.
54.
go back to reference Gebhard O, Hahn-Klimroth M, Parczyk O, Penschuck M, Rolvien M. Optimal group testing under real world restrictions. 2020. arXiv preprint arXiv:2004.11860. Gebhard O, Hahn-Klimroth M, Parczyk O, Penschuck M, Rolvien M. Optimal group testing under real world restrictions. 2020. arXiv preprint arXiv:2004.11860.
55.
go back to reference Kadri U. Variation of positiveness to enhance testing of specimens during an epidemic. 2020. arXiv preprint arXiv:2004.11753. Kadri U. Variation of positiveness to enhance testing of specimens during an epidemic. 2020. arXiv preprint arXiv:2004.11753.
Metadata
Title
A network-based model to explore the role of testing in the epidemiological control of the COVID-19 pandemic
Authors
Yapeng Cui
Shunjiang Ni
Shifei Shen
Publication date
01-12-2021
Publisher
BioMed Central
Keyword
COVID-19
Published in
BMC Infectious Diseases / Issue 1/2021
Electronic ISSN: 1471-2334
DOI
https://doi.org/10.1186/s12879-020-05750-9

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