Issue |
Math. Model. Nat. Phenom.
Volume 5, Number 3, 2010
Mathematical modeling in the medical sciences
|
|
---|---|---|
Page(s) | 191 - 205 | |
DOI | https://doi.org/10.1051/mmnp/20105312 | |
Published online | 28 April 2010 |
Pre-symptomatic Influenza Transmission, Surveillance, and School Closings: Implications for Novel Influenza A (H1N1)
1
Department of Mathematics, Vanderbilt University,
Nashville, Tennessee, 37240
USA
2
Department of Public Health and Center for Infectious Disease Epidemiology
Research, China Medical University, Taichung, Taiwan
3
Laboratory for Industrial and Applied Mathematics, Centre for Disease
Modeling, Department of Mathematics and Statistics, York University,
Toronto, Canada M3J 1P3
4
Department of Medicine and Department of Microbiology, New York University
School of Medicine, New
York, NY
10016, USA
* Corresponding author. E-mail
glenn.f.webb@vanderbilt.edu
Early studies of the novel swine-origin 2009 influenza A (H1N1) epidemic indicate clinical attack rates in children much higher than in adults. Non-medical interventions such as school closings are constrained by their large socio-economic costs. Here we develop a mathematical model to ascertain the roles of pre-symptomatic influenza transmission as well as symptoms surveillance of children to assess the utility of school closures. Our model analysis indicates that school closings are advisable when pre-symptomatic transmission is significant or when removal of symptomatic children is inefficient. Our objective is to provide a rational basis for school closings decisions dependent on virulence characteristics and local surveillance implementation, applicable to the current epidemic and future epidemics.
Mathematics Subject Classification: 92B05 / 62P10 / 37N25
Key words: influenza / symptoms surveillance / pre-symptomatic / age of infection model / school closing policy
© EDP Sciences, 2010
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