Modeling the Impact of Behavior Changes on the Spread of Pandemic Influenza

We use mathematical models to assess the impact of behavioral changes in response to an emerging epidemic. Evaluating the quantitative and qualitative impact of public health interventions on the spread of infectious diseases is a crucial public health objective. The recent avian influenza (H5N1) outbreaks and the 2009 H1N1 pandemic have raised significant global concerns about the emergence of a deadly influenza virus causing a pandemic of catastrophic proportions. Mitigation strategies based on behavior changes are some of the only options available in the early stages of an emerging epidemic when vaccines are unlikely to be available and there are only limited stockpiles of antiviral medications. Mathematical models that capture these behavior changes can quantify the relative impact of different mitigation strategies, such as closing schools, in slowing the spread of an infectious disease. Including behavior changes in mathematical models increases complexity and is often left out of the analysis. We present a simple differential equation model which allows for people changing their behavior to decrease their probability of infection. We also describe a large-scale agent-based model that can be used to analyze the impact of isolation scenarios such as school closures and fear-based home isolation during a pandemic. The agent-based model captures realistic individual-level mixing patterns and coordinated reactive changes in human behavior in order to better predict the transmission dynamics of an epidemic. Both models confirm that changes in behavior can be effective in reducing the spread of disease. For example, our model predicts that if school closures are implemented for the duration of the pandemic, the clinical attack rate could be reduced by more than 50%. We also verify that when interventions are stopped too soon, a second wave of infection can occur.

[1]  Neil M. Ferguson,et al.  The effect of public health measures on the 1918 influenza pandemic in U.S. cities , 2007, Proceedings of the National Academy of Sciences.

[2]  G. Chowell,et al.  SARS outbreaks in Ontario, Hong Kong and Singapore: the role of diagnosis and isolation as a control mechanism , 2003, Journal of Theoretical Biology.

[3]  K. Neuzil,et al.  Illness among schoolchildren during influenza season: effect on school absenteeism, parental absenteeism from work, and secondary illness in families. , 2002, Archives of pediatrics & adolescent medicine.

[4]  L. Meyers,et al.  When individual behaviour matters: homogeneous and network models in epidemiology , 2007, Journal of The Royal Society Interface.

[5]  C. Macken,et al.  Mitigation strategies for pandemic influenza in the United States. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[6]  K. Stöhr,et al.  Will Vaccines Be Available for the Next Influenza Pandemic? , 2004, Science.

[7]  M. Kretzschmar,et al.  Using data on social contacts to estimate age-specific transmission parameters for respiratory-spread infectious agents. , 2006, American journal of epidemiology.

[8]  Phillip D. Stroud,et al.  Spatial Dynamics of Pandemic Influenza in a Massive Artificial Society , 2007, J. Artif. Soc. Soc. Simul..

[9]  H. Fukś,et al.  Effects of population mixing on the spread of SIR epidemics , 2005 .

[10]  A. J. Hall Infectious diseases of humans: R. M. Anderson & R. M. May. Oxford etc.: Oxford University Press, 1991. viii + 757 pp. Price £50. ISBN 0-19-854599-1 , 1992 .

[11]  A. Flahault,et al.  Estimating the impact of school closure on influenza transmission from Sentinel data , 2008, Nature.

[12]  Gregory S Zaric,et al.  Random vs. Nonrandom Mixing in Network Epidemic Models , 2002, Health care management science.

[13]  J. Hyman,et al.  Effects of behavioral changes in a smallpox attack model. , 2005, Mathematical biosciences.

[14]  A S Perelson,et al.  Emergence of drug resistance during an influenza epidemic: insights from a mathematical model. , 1998, The Journal of infectious diseases.

[15]  Herbert W. Hethcote,et al.  Mixing patterns between age groups in social networks , 2007, Soc. Networks.

[16]  M. Keeling,et al.  Disease evolution on networks: the role of contact structure , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[17]  A. Nizam,et al.  Containing pandemic influenza with antiviral agents. , 2004, American journal of epidemiology.

[18]  W. Edmunds,et al.  Delaying the International Spread of Pandemic Influenza , 2006, PLoS medicine.

[19]  Shweta Bansal,et al.  A Comparative Analysis of Influenza Vaccination Programs , 2006, PLoS medicine.

[20]  David J. Philp,et al.  Quantifying social distancing arising from pandemic influenza , 2007, Journal of The Royal Society Interface.

[21]  B. M. Fulk MATH , 1992 .

[22]  I. Longini,et al.  What is the best control strategy for multiple infectious disease outbreaks? , 2007, Proceedings of the Royal Society B: Biological Sciences.

[23]  Niall Johnson,et al.  Updating the Accounts: Global Mortality of the 1918-1920 "Spanish" Influenza Pandemic , 2002, Bulletin of the history of medicine.

[24]  D. Cummings,et al.  Strategies for containing an emerging influenza pandemic in Southeast Asia , 2005, Nature.

[25]  Gerardo Chowell,et al.  Quantifying the transmission potential of pandemic influenza , 2007, Physics of Life Reviews.

[26]  Xinghuo Pang,et al.  Evaluation of control measures implemented in the severe acute respiratory syndrome outbreak in Beijing, 2003. , 2003, JAMA.

[27]  J. Hyman,et al.  Transmission Dynamics of the Great Influenza Pandemic of 1918 in Geneva, Switzerland: Assessing the Effects of Hypothetical Interventions , 2022 .

[28]  Herbert W. Hethcote,et al.  The Mathematics of Infectious Diseases , 2000, SIAM Rev..

[29]  E. D. Kilbourne Influenza Pandemics of the 20th Century , 2006, Emerging infectious diseases.

[30]  J. Botella de Maglia,et al.  [Prevention of malaria]. , 1999, Revista clinica espanola.

[31]  L. McDonald,et al.  Investigation of the second wave (phase 2) of severe acute respiratory syndrome (SARS) in Toronto, Canada. What happened? , 2008, Canada communicable disease report = Releve des maladies transmissibles au Canada.

[32]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[33]  R. Belshe,et al.  The origins of pandemic influenza--lessons from the 1918 virus. , 2005, The New England journal of medicine.

[34]  N. Ferguson,et al.  Planning for smallpox outbreaks , 2003, Nature.

[35]  M. Newman,et al.  Network theory and SARS: predicting outbreak diversity , 2004, Journal of Theoretical Biology.

[36]  K. Glass,et al.  How Much Would Closing Schools Reduce Transmission During an Influenza Pandemic? , 2007, Epidemiology.

[37]  Valerie Isham,et al.  Models for Infectious Human Diseases: Their Structure and Relation to Data , 1996 .

[38]  Yu Wang,et al.  Safety and immunogenicity of an inactivated adjuvanted whole-virion influenza A (H5N1) vaccine: a phase I randomised controlled trial , 2006, The Lancet.

[39]  W. Edmunds,et al.  Who mixes with whom? A method to determine the contact patterns of adults that may lead to the spread of airborne infections , 1997, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[40]  M. Newman Spread of epidemic disease on networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[41]  Neil Ferguson,et al.  Capturing human behaviour , 2007, Nature.

[42]  J. Hyman,et al.  Scaling laws for the movement of people between locations in a large city. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  Comments from the Center for Biosecurity of UPMC on the National Strategy for Pandemic Influenza: Implementation Plan. , 2006, Biosecurity and bioterrorism : biodefense strategy, practice, and science.

[44]  Aravind Srinivasan,et al.  Modelling disease outbreaks in realistic urban social networks , 2004, Nature.

[45]  Alessandro Vespignani,et al.  Modeling the Worldwide Spread of Pandemic Influenza: Baseline Case and Containment Interventions , 2007, PLoS medicine.

[46]  S. Eubank,et al.  If smallpox strikes Portland.... , 2005, Scientific American.

[47]  S. Blower,et al.  Predicting and preventing the emergence of antiviral drug resistance in HSV-2 , 1998, Nature Medicine.

[48]  A S Perelson,et al.  Variable efficacy of repeated annual influenza vaccination. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[49]  A. Gumel,et al.  Assessing the role of basic control measures, antivirals and vaccine in curtailing pandemic influenza: scenarios for the US, UK and the Netherlands , 2007, Journal of The Royal Society Interface.

[50]  M. Lipsitch,et al.  Public health interventions and epidemic intensity during the 1918 influenza pandemic , 2007, Proceedings of the National Academy of Sciences.

[51]  W. O. Kermack,et al.  A contribution to the mathematical theory of epidemics , 1927 .

[52]  Steve Leach,et al.  Potential impact of antiviral drug use during influenza pandemic. , 2005 .