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Published in: BMC Public Health 1/2012

Open Access 01-12-2012 | Research article

Dynamic modelling of costs and health consequences of school closure during an influenza pandemic

Authors: Yiting Xue, Ivar Sønbø Kristiansen, Birgitte Freiesleben de Blasio

Published in: BMC Public Health | Issue 1/2012

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Abstract

Background

The purpose of this article is to evaluate the cost-effectiveness of school closure during a potential influenza pandemic and to examine the trade-off between costs and health benefits for school closure involving different target groups and different closure durations.

Methods

We developed two models: a dynamic disease model capturing the spread of influenza and an economic model capturing the costs and benefits of school closure. Decisions were based on quality-adjusted life years gained using incremental cost-effectiveness ratios. The disease model is an age-structured SEIR compartmental model based on the population of Oslo. We studied the costs and benefits of school closure by varying the age targets (kindergarten, primary school, secondary school) and closure durations (1–10 weeks), given pandemics with basic reproductive number of 1.5, 2.0 or 2.5.

Results

The cost-effectiveness of school closure varies depending on the target group, duration and whether indirect costs are considered. Using a case fatality rate (CFR) of 0.1-0.2% and with current cost-effectiveness threshold for Norway, closing secondary school is the only cost-effective strategy, when indirect costs are included. The most cost-effective strategies would be closing secondary schools for 8 weeks if R 0 =1.5, 6 weeks if R 0 =2.0, and 4 weeks if R 0 = 2.5. For severe pandemics with case fatality rates of 1-2%, similar to the Spanish flu, or when indirect costs are disregarded, the optimal strategy is closing kindergarten, primary and secondary school for extended periods of time. For a pandemic with 2009 H1N1 characteristics (mild severity and low transmissibility), closing schools would not be cost-effective, regardless of the age target of school children.

Conclusions

School closure has moderate impact on the epidemic’s scope, but the resulting disruption to society imposes a potentially great cost in terms of lost productivity from parents’ work absenteeism.
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Literature
1.
go back to reference Cox NJ, Fukuda K: Influenza. Infect Dis Clin North Am. 1998, 12: 27-38. 10.1016/S0891-5520(05)70406-2.CrossRefPubMed Cox NJ, Fukuda K: Influenza. Infect Dis Clin North Am. 1998, 12: 27-38. 10.1016/S0891-5520(05)70406-2.CrossRefPubMed
2.
go back to reference Yang Y, Sugimoto JD, Halloran ME, Basta NE, Chao DL, Matrajt L, et al: The transmissibility and control of pandemic influenza A (H1N1) virus. Science. 2009, 326: 729-733. 10.1126/science.1177373.CrossRefPubMedPubMedCentral Yang Y, Sugimoto JD, Halloran ME, Basta NE, Chao DL, Matrajt L, et al: The transmissibility and control of pandemic influenza A (H1N1) virus. Science. 2009, 326: 729-733. 10.1126/science.1177373.CrossRefPubMedPubMedCentral
3.
go back to reference Cauchemez S, Ferguson NM, Wachtel C, Tegnell A, Saour G, Duncan B, et al: Closure of schools during an influenza pandemic. Lancet Infect Dis. 2009, 9: 473-481. 10.1016/S1473-3099(09)70176-8.CrossRefPubMed Cauchemez S, Ferguson NM, Wachtel C, Tegnell A, Saour G, Duncan B, et al: Closure of schools during an influenza pandemic. Lancet Infect Dis. 2009, 9: 473-481. 10.1016/S1473-3099(09)70176-8.CrossRefPubMed
4.
go back to reference Hatchett RJ, Mecher CE, Lipsitch M: Public health interventions and epidemic intensity during the 1918 influenza pandemic. Proc Natl Acad Sci U S A. 2007, 104: 7582-7587. 10.1073/pnas.0610941104.CrossRefPubMedPubMedCentral Hatchett RJ, Mecher CE, Lipsitch M: Public health interventions and epidemic intensity during the 1918 influenza pandemic. Proc Natl Acad Sci U S A. 2007, 104: 7582-7587. 10.1073/pnas.0610941104.CrossRefPubMedPubMedCentral
5.
go back to reference Markel H, Lipman HB, Navarro JA, Sloan A, Michalsen JR, Stern AM, et al: Nonpharmaceutical interventions implemented by US cities during the 1918–1919 influenza pandemic. JAMA. 2007, 298: 644-654. 10.1001/jama.298.6.644.CrossRefPubMed Markel H, Lipman HB, Navarro JA, Sloan A, Michalsen JR, Stern AM, et al: Nonpharmaceutical interventions implemented by US cities during the 1918–1919 influenza pandemic. JAMA. 2007, 298: 644-654. 10.1001/jama.298.6.644.CrossRefPubMed
6.
go back to reference Hens N, Ayele GM, Goeyvaerts N, Aerts M, Mossong J, Edmunds JW, et al: Estimating the impact of school closure on social mixing behaviour and the transmission of close contact infections in eight European countries. BMC Infect Dis. 2009, 9: 187-10.1186/1471-2334-9-187.CrossRefPubMedPubMedCentral Hens N, Ayele GM, Goeyvaerts N, Aerts M, Mossong J, Edmunds JW, et al: Estimating the impact of school closure on social mixing behaviour and the transmission of close contact infections in eight European countries. BMC Infect Dis. 2009, 9: 187-10.1186/1471-2334-9-187.CrossRefPubMedPubMedCentral
7.
go back to reference Cowling BJ, Lau EH, Lam CL, Cheng CK, Kovar J, Chan KH, et al: Effects of school closures, 2008 winter influenza season, Hong Kong. Emerg Infect Dis. 2008, 14: 1660-1662. 10.3201/eid1410.080646.CrossRefPubMedPubMedCentral Cowling BJ, Lau EH, Lam CL, Cheng CK, Kovar J, Chan KH, et al: Effects of school closures, 2008 winter influenza season, Hong Kong. Emerg Infect Dis. 2008, 14: 1660-1662. 10.3201/eid1410.080646.CrossRefPubMedPubMedCentral
8.
go back to reference Glass K, Barnes B: How much would closing schools reduce transmission during an influenza pandemic?. Epidemiology. 2007, 18: 623-628. 10.1097/EDE.0b013e31812713b4.CrossRefPubMed Glass K, Barnes B: How much would closing schools reduce transmission during an influenza pandemic?. Epidemiology. 2007, 18: 623-628. 10.1097/EDE.0b013e31812713b4.CrossRefPubMed
9.
go back to reference Lee BY, Brown ST, Cooley P, Potter MA, Wheaton WD, Voorhees RE, et al: Simulating School Closure Strategies to Mitigate an Influenza Epidemic. J Public Health Manag Pract. 2010, 16 (3): 252-61.CrossRefPubMedPubMedCentral Lee BY, Brown ST, Cooley P, Potter MA, Wheaton WD, Voorhees RE, et al: Simulating School Closure Strategies to Mitigate an Influenza Epidemic. J Public Health Manag Pract. 2010, 16 (3): 252-61.CrossRefPubMedPubMedCentral
10.
go back to reference Glass RJ, Glass LM, Beyeler WE, Min HJ: Targeted social distancing design for pandemic influenza. Emerg Infect Dis. 2006, 12: 1671-1681. 10.3201/eid1211.060255.CrossRefPubMedPubMedCentral Glass RJ, Glass LM, Beyeler WE, Min HJ: Targeted social distancing design for pandemic influenza. Emerg Infect Dis. 2006, 12: 1671-1681. 10.3201/eid1211.060255.CrossRefPubMedPubMedCentral
11.
go back to reference Halder N, Kelso JK, Milne GJ: Analysis of the effectiveness of interventions used during the 2009 A/H1N1 influenza pandemic. BMC Publ Health. 2010, 10: 168-10.1186/1471-2458-10-168.CrossRef Halder N, Kelso JK, Milne GJ: Analysis of the effectiveness of interventions used during the 2009 A/H1N1 influenza pandemic. BMC Publ Health. 2010, 10: 168-10.1186/1471-2458-10-168.CrossRef
12.
go back to reference Halder N, Kelso JK, Milne GJ: Developing guidelines for school closure interventions to be used during a future influenza pandemic. BMC Infect Dis. 2010, 10: 221-10.1186/1471-2334-10-221.CrossRefPubMedPubMedCentral Halder N, Kelso JK, Milne GJ: Developing guidelines for school closure interventions to be used during a future influenza pandemic. BMC Infect Dis. 2010, 10: 221-10.1186/1471-2334-10-221.CrossRefPubMedPubMedCentral
13.
go back to reference Sadique MZ, Adams EJ, Edmunds WJ: Estimating the costs of school closure for mitigating an influenza pandemic. BMC Publ Health. 2008, 8: 135-10.1186/1471-2458-8-135.CrossRef Sadique MZ, Adams EJ, Edmunds WJ: Estimating the costs of school closure for mitigating an influenza pandemic. BMC Publ Health. 2008, 8: 135-10.1186/1471-2458-8-135.CrossRef
14.
go back to reference Lempel H, Epstein JM, Hammond RA: Economic cost and health care workforce effects of school closures in the U.S, RRN1051. PLoS Curr Influenza. 2009, 10.1371/currents.RRN1051. Lempel H, Epstein JM, Hammond RA: Economic cost and health care workforce effects of school closures in the U.S, RRN1051. PLoS Curr Influenza. 2009, 10.1371/currents.RRN1051.
15.
go back to reference House T, Baguelin M, Van Hoek AJ, White PJ, Sadique Z, Eames K, et al: Modelling the impact of local reactive school closures on critical care provision during an influenza pandemic. Proc Biol Sci. 2011, 278: 2753-2760. 10.1098/rspb.2010.2688.CrossRefPubMedPubMedCentral House T, Baguelin M, Van Hoek AJ, White PJ, Sadique Z, Eames K, et al: Modelling the impact of local reactive school closures on critical care provision during an influenza pandemic. Proc Biol Sci. 2011, 278: 2753-2760. 10.1098/rspb.2010.2688.CrossRefPubMedPubMedCentral
16.
go back to reference Halder N, Kelso JK, Milne GJ: Cost-effective strategies for mitigating a future influenza pandemic with H1N1 2009 characteristics. PLoS One. 2011, 6: e22087-10.1371/journal.pone.0022087.CrossRefPubMedPubMedCentral Halder N, Kelso JK, Milne GJ: Cost-effective strategies for mitigating a future influenza pandemic with H1N1 2009 characteristics. PLoS One. 2011, 6: e22087-10.1371/journal.pone.0022087.CrossRefPubMedPubMedCentral
17.
go back to reference Brown ST, Tai JH, Bailey RR, Cooley PC, Wheaton WD, Potter MA, et al: Would school closure for the 2009 H1N1 influenza epidemic have been worth the cost? A computational simulation of Pennsylvania. BMC Publ Health. 2011, 11: 353-10.1186/1471-2458-11-353.CrossRef Brown ST, Tai JH, Bailey RR, Cooley PC, Wheaton WD, Potter MA, et al: Would school closure for the 2009 H1N1 influenza epidemic have been worth the cost? A computational simulation of Pennsylvania. BMC Publ Health. 2011, 11: 353-10.1186/1471-2458-11-353.CrossRef
18.
go back to reference Perlroth DJ, Glass RJ, Davey VJ, Cannon D, Garber AM, Owens DK: Health Outcomes and Costs of Community Mitigation Strategies for an Influenza Pandemic in the United States. Clin Infect Dis. 2010, 50: 165-174. 10.1086/649867.CrossRefPubMed Perlroth DJ, Glass RJ, Davey VJ, Cannon D, Garber AM, Owens DK: Health Outcomes and Costs of Community Mitigation Strategies for an Influenza Pandemic in the United States. Clin Infect Dis. 2010, 50: 165-174. 10.1086/649867.CrossRefPubMed
19.
go back to reference Sander B, Nizam A, Garrison LP, Postma MJ, Halloran ME, Longini IM: Economic evaluation of influenza pandemic mitigation strategies in the US using a stochastic microsimulation influenza model. Value Health. 2007, 10: A19-CrossRef Sander B, Nizam A, Garrison LP, Postma MJ, Halloran ME, Longini IM: Economic evaluation of influenza pandemic mitigation strategies in the US using a stochastic microsimulation influenza model. Value Health. 2007, 10: A19-CrossRef
20.
go back to reference Araz OM, Damien P, Paltiel DA, Burke S, Geijn BV, Galvani A, et al: Simulating school closure policies for cost effective pandemic decision making. BMC Publ Health. 2012, 12: 449-10.1186/1471-2458-12-449.CrossRef Araz OM, Damien P, Paltiel DA, Burke S, Geijn BV, Galvani A, et al: Simulating school closure policies for cost effective pandemic decision making. BMC Publ Health. 2012, 12: 449-10.1186/1471-2458-12-449.CrossRef
22.
go back to reference Keeling MJ, Rohani P: Modeling Infectious Diseases in Humans and Animals. 2007 Keeling MJ, Rohani P: Modeling Infectious Diseases in Humans and Animals. 2007
23.
go back to reference Carrat F, Vergu E, Ferguson NM, Lemaitre M, Cauchemez S, Leach S, et al: Time lines of infection and disease in human influenza: a review of volunteer challenge studies. Am J Epidemiol. 2008, 167: 775-785. 10.1093/aje/kwm375.CrossRefPubMed Carrat F, Vergu E, Ferguson NM, Lemaitre M, Cauchemez S, Leach S, et al: Time lines of infection and disease in human influenza: a review of volunteer challenge studies. Am J Epidemiol. 2008, 167: 775-785. 10.1093/aje/kwm375.CrossRefPubMed
24.
go back to reference Longini IM, Halloran ME, Nizam A, Yang Y: Containing pandemic influenza with antiviral agents. Am J Epidemiol. 2004, 159: 623-633. 10.1093/aje/kwh092.CrossRefPubMed Longini IM, Halloran ME, Nizam A, Yang Y: Containing pandemic influenza with antiviral agents. Am J Epidemiol. 2004, 159: 623-633. 10.1093/aje/kwh092.CrossRefPubMed
25.
go back to reference Germann TC, Kadau K, Longini IM, Macken CA: Mitigation strategies for pandemic influenza in the United States. Proc Natl Acad Sci U S A. 2006, 103: 5935-5940. 10.1073/pnas.0601266103.CrossRefPubMedPubMedCentral Germann TC, Kadau K, Longini IM, Macken CA: Mitigation strategies for pandemic influenza in the United States. Proc Natl Acad Sci U S A. 2006, 103: 5935-5940. 10.1073/pnas.0601266103.CrossRefPubMedPubMedCentral
26.
go back to reference Fraser C, Riley S, Anderson RM, Ferguson NM: Factors that make an infectious disease outbreak controllable. Proc Natl Acad Sci U S A. 2004, 101: 6146-6151. 10.1073/pnas.0307506101.CrossRefPubMedPubMedCentral Fraser C, Riley S, Anderson RM, Ferguson NM: Factors that make an infectious disease outbreak controllable. Proc Natl Acad Sci U S A. 2004, 101: 6146-6151. 10.1073/pnas.0307506101.CrossRefPubMedPubMedCentral
27.
go back to reference Fraser C, Donnelly CA, Cauchemez S, Hanage WP, Van Kerkhove MD, Hollingsworth TD, et al: Pandemic potential of a strain of influenza A (H1N1): early findings. Science. 2009, 324: 1557-1561. 10.1126/science.1176062.CrossRefPubMedPubMedCentral Fraser C, Donnelly CA, Cauchemez S, Hanage WP, Van Kerkhove MD, Hollingsworth TD, et al: Pandemic potential of a strain of influenza A (H1N1): early findings. Science. 2009, 324: 1557-1561. 10.1126/science.1176062.CrossRefPubMedPubMedCentral
28.
go back to reference Lau LL, Cowling BJ, Fang VJ, Chan KH, Lau EH, Lipsitch M, et al: Viral shedding and clinical illness in naturally acquired influenza virus infections. J Infect Dis. 2010, 201: 1509-1516. 10.1086/652241.CrossRefPubMedPubMedCentral Lau LL, Cowling BJ, Fang VJ, Chan KH, Lau EH, Lipsitch M, et al: Viral shedding and clinical illness in naturally acquired influenza virus infections. J Infect Dis. 2010, 201: 1509-1516. 10.1086/652241.CrossRefPubMedPubMedCentral
29.
go back to reference Wallinga J, Teunis P, Kretzschmar M: Using data on social contacts to estimate age-specific transmission parameters for respiratory-spread infectious agents. Am J Epidemiol. 2006, 164: 936-944. 10.1093/aje/kwj317.CrossRefPubMed Wallinga J, Teunis P, Kretzschmar M: Using data on social contacts to estimate age-specific transmission parameters for respiratory-spread infectious agents. Am J Epidemiol. 2006, 164: 936-944. 10.1093/aje/kwj317.CrossRefPubMed
30.
go back to reference Gani R, Hughes H, Fleming D, Griffin T, Medlock J, Leach S: Potential impact of antiviral drug use during influenza pandemic. Emerg Infect Dis. 2005, 11: 1355-1362. 10.3201/eid1209.041344.CrossRefPubMedPubMedCentral Gani R, Hughes H, Fleming D, Griffin T, Medlock J, Leach S: Potential impact of antiviral drug use during influenza pandemic. Emerg Infect Dis. 2005, 11: 1355-1362. 10.3201/eid1209.041344.CrossRefPubMedPubMedCentral
31.
go back to reference Comay Y, Melnik A, Pollatschek MA: The Option Value of Education and the Optimal Path for Investment in Human Capital. Int Econ Rev. 1973, 14: 421-435. 10.2307/2525931.CrossRef Comay Y, Melnik A, Pollatschek MA: The Option Value of Education and the Optimal Path for Investment in Human Capital. Int Econ Rev. 1973, 14: 421-435. 10.2307/2525931.CrossRef
32.
go back to reference Maurin E, McNally S: Vive la revolution! Long-term educational returns of 1968 to the angry students. J Labor Econ. 2008, 26: 1-33. 10.1086/522071.CrossRef Maurin E, McNally S: Vive la revolution! Long-term educational returns of 1968 to the angry students. J Labor Econ. 2008, 26: 1-33. 10.1086/522071.CrossRef
33.
go back to reference Meltzer MI, Cox NJ, Fukuda K: The economic impact of pandemic influenza in the United States: priorities for intervention. Emerg Infect Dis. 1999, 5: 659-671. 10.3201/eid0505.990507.CrossRefPubMedPubMedCentral Meltzer MI, Cox NJ, Fukuda K: The economic impact of pandemic influenza in the United States: priorities for intervention. Emerg Infect Dis. 1999, 5: 659-671. 10.3201/eid0505.990507.CrossRefPubMedPubMedCentral
34.
go back to reference Xue Y, Kristiansen IS, de Blasio BF: Modeling the cost of influenza: the impact of missing costs of unreported complications and sick leave. BMC Publ Health. 2010, 10: 724-10.1186/1471-2458-10-724.CrossRef Xue Y, Kristiansen IS, de Blasio BF: Modeling the cost of influenza: the impact of missing costs of unreported complications and sick leave. BMC Publ Health. 2010, 10: 724-10.1186/1471-2458-10-724.CrossRef
35.
go back to reference O'Brien BJ, Goeree R, Blackhouse G, Smieja M, Loeb M: Oseltamivir for treatment of influenza in healthy adults: pooled trial evidence and cost-effectiveness model for Canada. Value Health. 2003, 6: 116-125. 10.1046/j.1524-4733.2003.00213.x.CrossRefPubMed O'Brien BJ, Goeree R, Blackhouse G, Smieja M, Loeb M: Oseltamivir for treatment of influenza in healthy adults: pooled trial evidence and cost-effectiveness model for Canada. Value Health. 2003, 6: 116-125. 10.1046/j.1524-4733.2003.00213.x.CrossRefPubMed
36.
go back to reference Cauchemez S, Valleron AJ, Boelle PY, Flahault A, Ferguson NM: Estimating the impact of school closure on influenza transmission from Sentinel data. Nature. 2008, 452: 750-754. 10.1038/nature06732.CrossRefPubMed Cauchemez S, Valleron AJ, Boelle PY, Flahault A, Ferguson NM: Estimating the impact of school closure on influenza transmission from Sentinel data. Nature. 2008, 452: 750-754. 10.1038/nature06732.CrossRefPubMed
38.
go back to reference Boelle PY, Ansart S, Cori A, Valleron AJ: Transmission parameters of the A/H1N1 (2009) influenza virus pandemic: a review. Influenza Other Respi Viruses. 2011, 5: 306-316. 10.1111/j.1750-2659.2011.00234.x.CrossRef Boelle PY, Ansart S, Cori A, Valleron AJ: Transmission parameters of the A/H1N1 (2009) influenza virus pandemic: a review. Influenza Other Respi Viruses. 2011, 5: 306-316. 10.1111/j.1750-2659.2011.00234.x.CrossRef
39.
go back to reference Gran JM, Iversen B, Hungnes O, Aalen OO: Estimating influenza-related excess mortality and reproduction numbers for seasonal influenza in Norway, 1975–2004. Epidemiol Infect. 2010, 138: 1559-1568. 10.1017/S0950268810000671.CrossRefPubMed Gran JM, Iversen B, Hungnes O, Aalen OO: Estimating influenza-related excess mortality and reproduction numbers for seasonal influenza in Norway, 1975–2004. Epidemiol Infect. 2010, 138: 1559-1568. 10.1017/S0950268810000671.CrossRefPubMed
Metadata
Title
Dynamic modelling of costs and health consequences of school closure during an influenza pandemic
Authors
Yiting Xue
Ivar Sønbø Kristiansen
Birgitte Freiesleben de Blasio
Publication date
01-12-2012
Publisher
BioMed Central
Published in
BMC Public Health / Issue 1/2012
Electronic ISSN: 1471-2458
DOI
https://doi.org/10.1186/1471-2458-12-962

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