A simple stochastic lattice gas model for H1N1 pandemic. Application to the Italian epidemiological data

Abstract.We construct a very simple epidemic model for influenza spreading in an age-class-distributed population, by coupling a lattice gas model for the population dynamics with a SIR stochastic model for susceptible, infected and removed/immune individuals. We use as a test case the age-distributed Italian epidemiological data for the novel influenza A(H1N1). The most valuable features of this model are its country-independent and virus-independent structure (few demographic, social and virological data are used to fix some parameters), its large statistic due to a very short run-time machine, and its easy generalizability to include mitigation strategies. In spite of its simplicity, the model presented reproduces the epidemiological Italian data, with sensible predictions for the reproduction number and theoretically interesting results for the generation time distribution.

[1]  R. Pemantle.  The Contact Process on Trees , 1992, math/0404046.

[2]  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.

[3]  Raul Rabadan,et al.  Differences in Patient Age Distribution between Influenza A Subtypes , 2009, PloS one.

[4]  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 .

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

[6]  A. Nizam,et al.  Community interventions and the epidemic prevention potential. , 2002, Vaccine.

[7]  M. Halloran,et al.  Strategies for Pandemic and Seasonal Influenza Vaccination of Schoolchildren in the United States , 2009, American journal of epidemiology.

[8]  C. Furlanello,et al.  Mitigation Measures for Pandemic Influenza in Italy: An Individual Based Model Considering Different Scenarios , 2008, PloS one.

[9]  Jeffery K. Taubenberger,et al.  Characterization of the 1918 influenza virus polymerase genes , 2005, Nature.

[10]  C. Scholtissek,et al.  On the origin of the human influenza virus subtypes H2N2 and H3N2. , 1978, Virology.

[11]  N. Andrews,et al.  Incidence of 2009 pandemic influenza A H1N1 infection in England: a cross-sectional serological study , 2010, The Lancet.

[12]  A. Langworthy,et al.  An influenza simulation model for immunization studies. , 1976, American journal of epidemiology.

[13]  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.

[14]  S. Lam,et al.  Letter: Antral-gastrin-cell hyperplasia in peptic-ulcer disease. , 1974, Lancet.

[15]  S. Merler,et al.  The role of population heterogeneity and human mobility in the spread of pandemic influenza , 2010, Proceedings of the Royal Society B: Biological Sciences.

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

[17]  P. Laidlaw.  EPIDEMIC INFLUENZA: A VIRUS DISEASE , 1935 .

[18]  A. Nizam,et al.  Containing Bioterrorist Smallpox , 2002, Science.

[19]  M. Lipsitch,et al.  How generation intervals shape the relationship between growth rates and reproductive numbers , 2007, Proceedings of the Royal Society B: Biological Sciences.

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

[21]  Gail E. Potter,et al.  The Transmissibility and Control of Pandemic Influenza A (H1N1) Virus , 2009, Science.

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

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

[24]  C. Scholtissek,et al.  Pigs as ‘Mixing Vessels’ for the Creation of New Pandemic Influenza A Viruses , 1990 .

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

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

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

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

[29]  N. Cox,et al.  Genetic analysis of human H2N2 and early H3N2 influenza viruses, 1957-1972: evidence for genetic divergence and multiple reassortment events. , 2004, Virology.

[30]  R Rabadan,et al.  The origin of the recent swine influenza A(H1N1) virus infecting humans. , 2009, Euro surveillance : bulletin Europeen sur les maladies transmissibles = European communicable disease bulletin.