Modeling influenza epidemics and pandemics: insights into the future of swine flu (H1N1)

Here we present a review of the literature of influenza modeling studies, and discuss how these models can provide insights into the future of the currently circulating novel strain of influenza A (H1N1), formerly known as swine flu. We discuss how the feasibility of controlling an epidemic critically depends on the value of the Basic Reproduction Number (R0). The R0 for novel influenza A (H1N1) has recently been estimated to be between 1.4 and 1.6. This value is below values of R0 estimated for the 1918–1919 pandemic strain (mean R0~2: range 1.4 to 2.8) and is comparable to R0 values estimated for seasonal strains of influenza (mean R0 1.3: range 0.9 to 2.1). By reviewing results from previous modeling studies we conclude it is theoretically possible that a pandemic of H1N1 could be contained. However it may not be feasible, even in resource-rich countries, to achieve the necessary levels of vaccination and treatment for control. As a recent modeling study has shown, a global cooperative strategy will be essential in order to control a pandemic. This strategy will require resource-rich countries to share their vaccines and antivirals with resource-constrained and resource-poor countries. We conclude our review by discussing the necessity of developing new biologically complex models. We suggest that these models should simultaneously track the transmission dynamics of multiple strains of influenza in bird, pig and human populations. Such models could be critical for identifying effective new interventions, and informing pandemic preparedness planning. Finally, we show that by modeling cross-species transmission it may be possible to predict the emergence of pandemic strains of influenza.

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

[2]  L. A. Rvachev,et al.  Computer modelling of influenza epidemics for the whole country (USSR) , 1971, Advances in Applied Probability.

[3]  L. A. Rvachev,et al.  A mathematical model for the global spread of influenza , 1985 .

[4]  I M Longini,et al.  Predicting the global spread of new infectious agents. , 1986, American journal of epidemiology.

[5]  R. Webster,et al.  Influenza: an emerging disease. , 1998, Emerging infectious diseases.

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

[7]  Lisa Sattenspiel,et al.  Simulating the effect of quarantine on the spread of the 1918–19 flu in Central Canada , 2003, Bulletin of mathematical biology.

[8]  Susan Mallett,et al.  A population-dynamic model for evaluating the potential spread of drug-resistant influenza virus infections during community-based use of antivirals. , 2003, The Journal of antimicrobial chemotherapy.

[9]  J. Dushoff,et al.  Dynamical resonance can account for seasonality of influenza epidemics. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[10]  J. Robins,et al.  Transmissibility of 1918 pandemic influenza , 2004, Nature.

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

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

[13]  A. Flahault,et al.  A mathematical model for the European spread of influenza , 1994, European Journal of Epidemiology.

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

[15]  Mark A. Miller,et al.  Synchrony, Waves, and Spatial Hierarchies in the Spread of Influenza , 2006, Science.

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

[17]  Sebastian Bonhoeffer,et al.  This PDF file includes: SOM Text , 2022 .

[18]  Gregory C Gray,et al.  Confined animal feeding operations as amplifiers of influenza. , 2006, Vector borne and zoonotic diseases.

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

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

[21]  W. Edmunds,et al.  Analyses of the 1957 (Asian) influenza pandemic in the United Kingdom and the impact of school closures , 2007, Epidemiology and Infection.

[22]  Timothy C. Reluga,et al.  Long-standing influenza vaccination policy is in accord with individual self-interest but not with the utilitarian optimum , 2007, Proceedings of the National Academy of Sciences.

[23]  Mark A. Miller,et al.  Seasonal influenza in the United States, France, and Australia: transmission and prospects for control , 2007, Epidemiology and Infection.

[24]  Xianning Liu,et al.  Avian-human influenza epidemic model. , 2007, Mathematical biosciences.

[25]  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.

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

[27]  David J. Philp,et al.  The Waiting Time for Inter-Country Spread of Pandemic Influenza , 2007, PloS one.

[28]  Raffaele Vardavas,et al.  Can Influenza Epidemics Be Prevented by Voluntary Vaccination? , 2007, PLoS Comput. Biol..

[29]  Joshua M. Epstein,et al.  Controlling Pandemic Flu: The Value of International Air Travel Restrictions , 2007, PloS one.

[30]  L. Stone,et al.  Seasonal dynamics of recurrent epidemics , 2007, Nature.

[31]  B. Levin,et al.  Antiviral Resistance and the Control of Pandemic Influenza , 2007, PLoS medicine.

[32]  Steven Riley,et al.  Optimizing the Dose of Pre-Pandemic Influenza Vaccines to Reduce the Infection Attack Rate , 2007, PLoS medicine.

[33]  Julien Arino,et al.  A model for influenza with vaccination and antiviral treatment. , 2008, Journal of theoretical biology.

[34]  Christopher T. McCaw,et al.  Impact of Emerging Antiviral Drug Resistance on Influenza Containment and Spread: Influence of Subclinical Infection and Strategic Use of a Stockpile Containing One or Two Drugs , 2008, PloS one.

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

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

[37]  Brian J Coburn Multi-Species Influenza Models with Recombination , 2009 .

[38]  Marc Lipsitch,et al.  Hedging against Antiviral Resistance during the Next Influenza Pandemic Using Small Stockpiles of an Alternative Chemotherapy , 2009, PLoS medicine.

[39]  E. Lyons,et al.  Pandemic Potential of a Strain of Influenza A (H1N1): Early Findings , 2009, Science.