Modeling the Worldwide Spread of Pandemic Influenza: Baseline Case and Containment Interventions

Background The highly pathogenic H5N1 avian influenza virus, which is now widespread in Southeast Asia and which diffused recently in some areas of the Balkans region and Western Europe, has raised a public alert toward the potential occurrence of a new severe influenza pandemic. Here we study the worldwide spread of a pandemic and its possible containment at a global level taking into account all available information on air travel. Methods and Findings We studied a metapopulation stochastic epidemic model on a global scale that considers airline travel flow data among urban areas. We provided a temporal and spatial evolution of the pandemic with a sensitivity analysis of different levels of infectiousness of the virus and initial outbreak conditions (both geographical and seasonal). For each spreading scenario we provided the timeline and the geographical impact of the pandemic in 3,100 urban areas, located in 220 different countries. We compared the baseline cases with different containment strategies, including travel restrictions and the therapeutic use of antiviral (AV) drugs. We investigated the effect of the use of AV drugs in the event that therapeutic protocols can be carried out with maximal coverage for the populations in all countries. In view of the wide diversity of AV stockpiles in different regions of the world, we also studied scenarios in which only a limited number of countries are prepared (i.e., have considerable AV supplies). In particular, we compared different plans in which, on the one hand, only prepared and wealthy countries benefit from large AV resources, with, on the other hand, cooperative containment scenarios in which countries with large AV stockpiles make a small portion of their supplies available worldwide. Conclusions We show that the inclusion of air transportation is crucial in the assessment of the occurrence probability of global outbreaks. The large-scale therapeutic usage of AV drugs in all hit countries would be able to mitigate a pandemic effect with a reproductive rate as high as 1.9 during the first year; with AV supply use sufficient to treat approximately 2% to 6% of the population, in conjunction with efficient case detection and timely drug distribution. For highly contagious viruses (i.e., a reproductive rate as high as 2.3), even the unrealistic use of supplies corresponding to the treatment of approximately 20% of the population leaves 30%–50% of the population infected. In the case of limited AV supplies and pandemics with a reproductive rate as high as 1.9, we demonstrate that the more cooperative the strategy, the more effective are the containment results in all regions of the world, including those countries that made part of their resources available for global use.

[1]  C. Dolea,et al.  World Health Organization , 1949, International Organization.

[2]  D. Tyrrell,et al.  The Influenza Viruses and Influenza , 1976 .

[3]  Kay Hailbronner,et al.  INTERNATIONAL AIR TRANSPORT ASSOCIATION , 1983 .

[4]  S. Swain Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences , 1984 .

[5]  C C Spicer,et al.  Epidemic influenza in Greater London , 1984, Journal of Hygiene.

[6]  Roy M. Anderson,et al.  Spatial heterogeneity and the design of immunization programs , 1984 .

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

[8]  I. Longini A mathematical model for predicting the geographic spread of new infectious agents , 1988 .

[9]  A. Flahault,et al.  A method for assessing the global spread of HIV-1 infection based on air travel. , 1992, Mathematical population studies.

[10]  P. Kaye Infectious diseases of humans: Dynamics and control , 1993 .

[11]  Dickman Numerical study of a field theory for directed percolation. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  Grenfell,et al.  Cities and villages: infection hierarchies in a measles metapopulation , 1998 .

[13]  D. Gillespie The chemical Langevin equation , 2000 .

[14]  N. Cox,et al.  Global epidemiology of influenza: past and present. , 2000, Annual review of medicine.

[15]  M. Keeling,et al.  Estimating spatial coupling in epidemiological systems: a mechanistic approach , 2002 .

[16]  J. Gog,et al.  Population dynamics of rapid fixation in cytotoxic T lymphocyte escape mutants of influenza A , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[17]  G. Glass,et al.  Assessing the impact of airline travel on the geographic spread of pandemic influenza , 2003 .

[18]  G. Stiver The treatment of influenza with antiviral drugs. , 2003, CMAJ : Canadian Medical Association journal = journal de l'Association medicale canadienne.

[19]  J. H. Ellis,et al.  Modeling the Spread of Annual Influenza Epidemics in the U.S.: The Potential Role of Air Travel , 2004, Health care management science.

[20]  T. Geisel,et al.  Forecast and control of epidemics in a globalized world. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

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

[22]  C. Fraser,et al.  Factors that make an infectious disease outbreak controllable. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[23]  A. Vespignani,et al.  The architecture of complex weighted networks. , 2003, Proceedings of the National Academy of Sciences of the United States of America.

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

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

[26]  Organización Mundial de la Salud Responding to the avian influenza pandemic threat: recommended strategic actions , 2005 .

[27]  Jean François Tremblay,et al.  ROCHE RAISES OUTPUT OF BIRD FLU DRUG , 2005 .

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

[29]  Steve Leach,et al.  Potential Impact of Antiviral Drug Use during Influenza Pandemic , 2005, Emerging infectious diseases.

[30]  P. E. Kopp,et al.  Superspreading and the effect of individual variation on disease emergence , 2005, Nature.

[31]  Nadav Davidovitch,et al.  Cost-Benefit of Stockpiling Drugs for Influenza Pandemic , 2005, Emerging infectious diseases.

[32]  J. Tremblay ROCHE RAISES OUTPUT OF BIRD FLU DRUG: But firm will not meet demand for its antiviral drug Tamiflu if an avian flu pandemic breaks out , 2005 .

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

[34]  J. Brownstein,et al.  Air Travel and the Spread of Influenza: Authors' Reply , 2006, PLoS Medicine.

[35]  A. Vespignani,et al.  The Modeling of Global Epidemics: Stochastic Dynamics and Predictability , 2006, Bulletin of mathematical biology.

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

[37]  Alessandro Vespignani,et al.  The role of the airline transportation network in the prediction and predictability of global epidemics , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[38]  J. Brownstein,et al.  Empirical Evidence for the Effect of Airline Travel on Inter-Regional Influenza Spread in the United States , 2006, PLoS medicine.

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

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

[41]  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.

[42]  Cécile Viboud,et al.  Air Travel and the Spread of Influenza: Important Caveats , 2006, PLoS medicine.

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