{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T04:10:42Z","timestamp":1790827842508,"version":"4.1.0"},"reference-count":36,"publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.3934\/mbe.2012.9.413","type":"journal-article","created":{"date-parts":[[2012,3,8]],"date-time":"2012-03-08T15:34:40Z","timestamp":1331220880000},"page":"413-430","source":"Crossref","is-referenced-by-count":7,"title":["The impact of school closures on pandemic influenza: Assessing potential repercussions using a seasonal SIR model"],"prefix":"10.3934","volume":"9","member":"2321","reference":[{"key":"1","doi-asserted-by":"publisher","first-page":"1434","DOI":"10.1093\/aje\/kwm012","article-title":"<em>Seasonality of influenza in Brazil: A traveling wave from the Amazon to the Subtropics,<\/em>","volume":"165","author":"W. J. Alonso","year":"2007","journal-title":"Am. J. Epidemiol."},{"key":"2","article-title":"\"Infectious Diseases of Humans: Dynamics and Control,\"","author":"R. Anderson","year":"1991","journal-title":"Oxford University Press"},{"key":"3","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1007\/s00285-010-0354-8","article-title":"<em>Genealogy with seasonality, the basic reproduction number, and the influenza pandemic,<\/em>","volume":"62","author":"N. Baca\u00ebr","year":"2011","journal-title":"J. Math. Biol."},{"key":"4","doi-asserted-by":"publisher","first-page":"1954","DOI":"10.1007\/s11538-009-9433-7","article-title":"<em>On the final size of epidemics with seasonality<\/em>,","volume":"71","author":"N. Baca\u00ebr","year":"2009","journal-title":"Bulletin of Mathematical Biology"},{"key":"5","doi-asserted-by":"publisher","first-page":"1067","DOI":"10.1007\/s11538-006-9166-9","article-title":"<em>Approximation of the basic reproduction number $R_0$ for vector-borne diseases with a periodic vector population,<\/em>","volume":"69","author":"N. Baca\u00ebr","year":"2007","journal-title":"Bull. Math. Biol."},{"key":"6","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1007\/s00285-006-0015-0","article-title":"<em>The epidemic threshold of vector-borne diseases with seasonality,<\/em>","volume":"53","author":"N. Baca\u00ebr","year":"2006","journal-title":"J. Math. Biol."},{"key":"7","doi-asserted-by":"publisher","first-page":"473","DOI":"10.1016\/S1473-3099(09)70176-8","article-title":"<em>Closure of schools during an influenza pandemic,<\/em>","volume":"9","author":"S. Cauchemez","year":"2009","journal-title":"Lancet. Infect. Dis."},{"key":"8","doi-asserted-by":"publisher","first-page":"750","DOI":"10.1038\/nature06732","article-title":"<em>Estimating the impact of school closure on influenza transmission from Sentinel data,<\/em>","volume":"452","author":"S. Cauchemez","year":"2008","journal-title":"Nature"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pmed.0040013","article-title":"<em>Modeling the worldwide spread of pandemic influenza: Baseline case and containment interventions,<\/em>","volume":"4","author":"V. Colizza","year":"2007","journal-title":"PLoS Med."},{"key":"10","first-page":"201","article-title":"<em>Dynamic contact patterns and social structure<\/em>,","author":"S. Y. Del Valle","year":"2009","journal-title":"in"},{"key":"11","doi-asserted-by":"crossref","first-page":"369","DOI":"10.3201\/eid0703.017301","article-title":"<em>Seasonal variation in host susceptibility and cycles of certain infectious diseases<\/em>,","volume":"7","author":"S. F. Dowell","year":"2001","journal-title":"Emerg. Infec. Dis."},{"key":"12","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1093\/aje\/kwj024","article-title":"<em>Mortality due to influenza in the United States<\/em>,","volume":"163","author":"J. Dushoff","year":"2006","journal-title":"American Journal of Epidemiology"},{"key":"13","first-page":"427","article-title":"<em>Modeling the effects of vaccination and treatment on pandemic influenza<\/em>,","volume":"13","author":"Z. Feng","year":"2011","journal-title":"American Association of Pharmaceutical Science Journal"},{"key":"14","doi-asserted-by":"publisher","first-page":"448","DOI":"10.1038\/nature04795","article-title":"<em>Strategies for mitigating an influenza pandemic,<\/em>","volume":"442","author":"N. M. Ferguson","year":"2006","journal-title":"Nature"},{"key":"15","doi-asserted-by":"publisher","first-page":"428","DOI":"10.1038\/nature01509","article-title":"<em>Ecological and immunological determinants of influenza evolution,<\/em>","volume":"422","author":"N. M. Ferguson","year":"2003","journal-title":"Nature"},{"key":"16","doi-asserted-by":"publisher","first-page":"1557","DOI":"10.1126\/science.1176062","article-title":"<em>Pandemic potential of a strain of influenza A(H1N1): Early findings,<\/em>","volume":"324","author":"C. Fraser","year":"2009","journal-title":"Science"},{"key":"17","doi-asserted-by":"publisher","first-page":"5935","DOI":"10.1073\/pnas.0601266103","article-title":"<em>Mitigation strategies for pandemic influenza in the United States,<\/em>","volume":"103","author":"T. C. Germann","year":"2006","journal-title":"PNAS"},{"key":"18","doi-asserted-by":"publisher","first-page":"1671","DOI":"10.3201\/eid1211.060255","article-title":"<em>Targeted social distancing design for pandemic influenza,<\/em>","volume":"12","author":"R. J. Glass","year":"2006","journal-title":"Emerg. Infect. Dis."},{"key":"19","doi-asserted-by":"publisher","first-page":"673","DOI":"10.1503\/cmaj.091641","article-title":"<em>Modelling mitigation strategies for pandemic (H1N1) 2009,<\/em>","volume":"181","author":"M. Z. Gojovic","year":"2009","journal-title":"CMAJ"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1186\/1471-2458-10-168","article-title":"<em>Analysis of the effectiveness of interventions used during the 2009 A\/H1N1 influenza pandemic,<\/em>","volume":"10","author":"N. Halder","year":"2010","journal-title":"BMC Public Health"},{"key":"21","doi-asserted-by":"publisher","first-page":"1414","DOI":"10.3201\/eid1209.060369","article-title":"<em>State plans for containment of pandemic influenza,<\/em>","volume":"12","author":"S. D. Holmberg","year":"2006","journal-title":"Emerg. Infect. Dis."},{"key":"22","doi-asserted-by":"publisher","first-page":"344","DOI":"10.3201\/eid1302.061109","article-title":"<em>Pandemic influenza school closure policies,<\/em>","volume":"13","author":"L. Kahn","year":"2007","journal-title":"Emerg. Infect. Dis."},{"key":"23","doi-asserted-by":"crossref","DOI":"10.1186\/1471-2458-9-117","article-title":"<em>Simulation suggests that rapid activation of social distancing can arrest epidemic development due to a novel strain of influenza,<\/em>","volume":"9","author":"J. K. Kelso","year":"2009","journal-title":"BMC Public Health"},{"key":"24","doi-asserted-by":"crossref","first-page":"252","DOI":"10.1097\/PHH.0b013e3181ce594e","article-title":"<em>Simulating school closure strategies to mitigate an influenza epidemic,<\/em>","volume":"16","author":"B. Y. Lee","year":"2010","journal-title":"Journal of Public Health Management and Practice"},{"key":"25","doi-asserted-by":"publisher","first-page":"5429","DOI":"10.1128\/JVI.01680-06","article-title":"<em>Influenza seasonality: Underlying causes and modeling theories,<\/em>","volume":"81","author":"E. Lofgren","year":"2007","journal-title":"J. Virol."},{"key":"26","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1371\/journal.ppat.0030151","article-title":"<em>Influenza virus transmission is dependent on relative humidity and temperature,<\/em>","volume":"4","author":"A. C. Lowen","year":"2007","journal-title":"PLoS Pathogens"},{"key":"27","doi-asserted-by":"publisher","first-page":"1705","DOI":"10.1126\/science.1175570","article-title":"<em>Optimizing influenza vaccine distribution<\/em>,","volume":"325","author":"J. Medlock","year":"2009","journal-title":"Science"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0004005","article-title":"<em>A small community model for the transmission of infectious diseases: Comparison of school closure as an intervention in individual-based models of an influenza pandemic,<\/em>","volume":"3","author":"G. J. Milne","year":"2008","journal-title":"PLoS ONE"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pmed.0050074","article-title":"<em>Social contacts and mixing patterns relevant to the spread of infectious diseases,<\/em>","volume":"5","author":"J. Mossong","year":"2008","journal-title":"PLoS Med"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1111\/j.1524-4733.2008.00437.x","article-title":"<em>Economic evaluation of influenza pandemic mitigation strategies in the United States using a stochastic microsimulation transmission model,<\/em>","volume":"12","author":"B. Sander","year":"2009","journal-title":"Value in Health"},{"key":"31","doi-asserted-by":"crossref","DOI":"10.2807\/ese.14.41.19358-en","article-title":"<em>Pandemic H1N1 influenza: Predicting the course of pandemic and assessing the efficacy of the planned vaccination programme in the United States,<\/em>","volume":"14","author":"S. Towers","year":"2009","journal-title":"Eurosurveillance"},{"key":"32","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1016\/j.jtbi.2011.08.011","article-title":"<em>Antiviral treatment for pandemic influenza: Assessing potential repercussions using a seasonally forced SIR model,<\/em>","volume":"289","author":"S. Towers","year":"2011","journal-title":"Journal of Theoretical Biology"},{"key":"33","article-title":"U.S. 2000 Census.","journal-title":"Available from: \\url{http:\/\/www.census.gov}."},{"key":"34","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1007\/s10884-008-9111-8","article-title":"<em>Threshold dynamics for compartmental epidemic models in periodic environments<\/em>,","volume":"20","author":"W. Wang","year":"2008","journal-title":"J. Dyn. Diff. Equat."},{"key":"35","doi-asserted-by":"crossref","first-page":"88","DOI":"10.3201\/eid1201.051371","article-title":"<em>Nonpharmaceutical interventions for pandemic influenza, national and community measures,<\/em>","volume":"12","author":"World Health Organization","year":"2006","journal-title":"Emerg. Infec. Dis."},{"key":"36","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1126\/science.1177373","article-title":"<em>The transmissibility and control of pandemic influenza A(H1N1) virus,<\/em>","volume":"326","author":"Y. Yang","year":"2009","journal-title":"Science"}],"container-title":["Mathematical Biosciences and Engineering"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.aimspress.com\/article\/10.3934\/mbe.2012.9.413\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,2]],"date-time":"2022-01-02T04:01:58Z","timestamp":1641096118000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.aimspress.com\/article\/10.3934\/mbe.2012.9.413"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":36,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012]]}},"URL":"https:\/\/doi.org\/10.3934\/mbe.2012.9.413","relation":{},"ISSN":["1551-0018"],"issn-type":[{"value":"1551-0018","type":"print"}],"subject":[],"published":{"date-parts":[[2012]]}}}