Dynamic Health Policies for Controlling the Spread of Emerging Infections: Influenza as an Example

The recent appearance and spread of novel infectious pathogens provide motivation for using models as tools to guide public health decision-making. Here we describe a modeling approach for developing dynamic health policies that allow for adaptive decision-making as new data become available during an epidemic. In contrast to static health policies which have generally been selected by comparing the performance of a limited number of pre-determined sequences of interventions within simulation or mathematical models, dynamic health policies produce “real-time” recommendations for the choice of the best current intervention based on the observable state of the epidemic. Using cumulative real-time data for disease spread coupled with current information about resource availability, these policies provide recommendations for interventions that optimally utilize available resources to preserve the overall health of the population. We illustrate the design and implementation of a dynamic health policy for the control of a novel strain of influenza, where we assume that two types of intervention may be available during the epidemic: (1) vaccines and antiviral drugs, and (2) transmission reducing measures, such as social distancing or mask use, that may be turned “on” or “off” repeatedly during the course of epidemic. In this example, the optimal dynamic health policy maximizes the overall population's health during the epidemic by specifying at any point of time, based on observable conditions, (1) the number of individuals to vaccinate if vaccines are available, and (2) whether the transmission-reducing intervention should be either employed or removed.

[1]  Matthew W. Tanner,et al.  Finding optimal vaccination strategies under parameter uncertainty using stochastic programming. , 2008, Mathematical biosciences.

[2]  N. Grassly,et al.  Mathematical models of infectious disease transmission , 2008, Nature Reviews Microbiology.

[3]  M. van Boven,et al.  Optimizing infectious disease interventions during an emerging epidemic , 2009, Proceedings of the National Academy of Sciences.

[4]  M. Ludkovski,et al.  Optimal Dynamic Policies for Influenza Management , 2010 .

[5]  John Mullahy,et al.  Net Health Benefits: A New Framework for the Analysis of Uncertainty in Cost-Effectiveness Analysis , 1998 .

[6]  D. Fedson Pandemic influenza and the global vaccine supply. , 2003, Clinical infectious diseases : an official publication of the Infectious Diseases Society of America.

[7]  D. Merl,et al.  A Statistical Framework for the Adaptive Management of Epidemiological Interventions , 2009, PloS one.

[8]  Reza Yaesoubi,et al.  Generalized Markov models of infectious disease spread: A novel framework for developing dynamic health policies , 2011, Eur. J. Oper. Res..

[9]  Martin L. Puterman,et al.  Markov Decision Processes: Discrete Stochastic Dynamic Programming , 1994 .

[10]  A. Nizam,et al.  Containing Pandemic Influenza at the Source , 2005, Science.

[11]  Claude Lefèvre,et al.  Optimal Control of a Birth and Death Epidemic Process , 1981, Oper. Res..

[12]  Warren B. Powell,et al.  “Approximate dynamic programming: Solving the curses of dimensionality” by Warren B. Powell , 2007, Wiley Series in Probability and Statistics.

[13]  Cecile Viboud,et al.  Vaccinating to Protect a Vulnerable Subpopulation , 2007, PLoS medicine.

[14]  J Wallinga,et al.  Distribution of vaccine/antivirals and the ‘least spread line’ in a stratified population , 2010, Journal of The Royal Society Interface.

[15]  C. Macken,et al.  Modeling targeted layered containment of an influenza pandemic in the United States , 2008, Proceedings of the National Academy of Sciences.

[16]  Eric R. Zieyel Operations research : applications and algorithms , 1988 .

[17]  Nathaniel Hupert,et al.  Optimizing Tactics for Use of the U.S. Antiviral Strategic National Stockpile for Pandemic Influenza , 2011, PloS one.

[18]  R. Webster,et al.  Are We Ready for Pandemic Influenza? , 2003, Science.

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

[20]  John C. Hershey,et al.  Carrier Screening for Cystic Fibrosis , 1998, Medical decision making : an international journal of the Society for Medical Decision Making.

[21]  Edward J. Sondik,et al.  The Optimal Control of Partially Observable Markov Processes over the Infinite Horizon: Discounted Costs , 1978, Oper. Res..

[22]  Edward J. Sondik,et al.  The Optimal Control of Partially Observable Markov Processes over a Finite Horizon , 1973, Oper. Res..

[23]  Nathaniel Hupert,et al.  Optimizing Tactics for use of the U.S. Antiviral Strategic National Stockpile for Pandemic (H1N1) Influenza, 2009 , 2009, PLoS currents.

[24]  D. Cummings,et al.  Strategies for mitigating an influenza pandemic , 2006, Nature.

[25]  N. Arinaminpathy,et al.  Antiviral treatment for the control of pandemic influenza: some logistical constraints , 2008, Journal of The Royal Society Interface.

[26]  J V Ross,et al.  Efficient methods for studying stochastic disease and population dynamics. , 2009, Theoretical population biology.

[27]  M. Halloran,et al.  Finding optimal vaccination strategies for pandemic influenza using genetic algorithms. , 2005, Journal of theoretical biology.

[28]  A. Flahault,et al.  Strategies for containing a global influenza pandemic. , 2006, Vaccine.