Ongoing Estimation of the Epidemic Parameters of a Stochastic, Spatial, Discrete-Time Model for a 1983–84 Avian Influenza Epidemic

SUMMARY. We formulate a stochastic, spatial, discrete-time model of viral “Susceptible, Exposed, Infectious, Recovered” animal epidemics and apply it to an avian influenza epidemic in Pennsylvania in 1983–84. Using weekly data for the number of newly infectious cases collected during the epidemic, we find estimates for the latent period of the virus and the values of two parameters within the transmission kernel of the model. These data are then jackknifed on a progressive weekly basis to show how our estimates can be applied to an ongoing epidemic to generate continually improving values of certain epidemic parameters.

[1]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[2]  R. May,et al.  Modelling vaccination strategies against foot-and-mouth disease , 2003, Nature.

[3]  S. Brooks,et al.  Topographic determinants of foot and mouth disease transmission in the UK 2001 epidemic , 2006, BMC Veterinary Research.

[4]  M. van Boven,et al.  The role of backyard poultry flocks in the epidemic of highly pathogenic avian influenza virus (H7N7) in the Netherlands in 2003. , 2009, Preventive veterinary medicine.

[5]  Risk of foot-and-mouth disease associated with proximity in space and time to infected premises and the implications for control policy during the 2001 epidemic in Cumbria , 2004, Veterinary Record.

[6]  M. Keeling.  Models of foot-and-mouth disease , 2005, Proceedings of the Royal Society B: Biological Sciences.

[7]  Rowland R Kao,et al.  The impact of local heterogeneity on alternative control strategies for foot-and-mouth disease , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[8]  M. Keeling,et al.  Impact of spatial clustering on disease transmission and optimal control , 2009, Proceedings of the National Academy of Sciences.

[9]  S. Cornell,et al.  Dynamics of the 2001 UK Foot and Mouth Epidemic: Stochastic Dispersal in a Heterogeneous Landscape , 2001, Science.

[10]  S. Marangon,et al.  Analysis of the 1999-2000 highly pathogenic avian influenza (H7N1) epidemic in the main poultry-production area in northern Italy. , 2006, Preventive veterinary medicine.

[11]  Christl A. Donnelly,et al.  The Foot-and-Mouth Epidemic in Great Britain: Pattern of Spread and Impact of Interventions , 2001, Science.

[12]  Rob Deardon,et al.  Optimal reactive vaccination strategies for a foot-and-mouth outbreak in Great Britain , 2022 .

[13]  Rob Deardon,et al.  Accuracy of models for the 2001 foot-and-mouth epidemic , 2008, Proceedings of the Royal Society B: Biological Sciences.

[14]  M. D. de Jong,et al.  Modelling control of avian influenza in poultry: the link with data. , 2009, Revue scientifique et technique.

[15]  M. Keeling,et al.  Modelling foot-and-mouth disease: a comparison between the UK and Denmark. , 2008, Preventive veterinary medicine.

[16]  R. Meester,et al.  The local threshold for geographical spread of infectious diseases between farms. , 2007, Preventive veterinary medicine.

[17]  M. Keeling,et al.  Estimating the kernel parameters of premises-based stochastic models of farmed animal infectious disease epidemics using limited, incomplete, or ongoing data. , 2010, Theoretical population biology.

[18]  J. Stegeman,et al.  Risk factors for the introduction of high pathogenicity Avian Influenza virus into poultry farms during the epidemic in the Netherlands in 2003. , 2005, Preventive veterinary medicine.

[19]  Freeman Dyson,et al.  A meeting with Enrico Fermi , 2004, Nature.

[20]  Matt J. Keeling,et al.  The role of pre-emptive culling in the control of foot-and-mouth disease , 2009, Proceedings of the Royal Society B: Biological Sciences.

[21]  L. Garber,et al.  Evaluation of risk factors for the spread of low pathogenicity H7N2 avian influenza virus among commercial poultry farms. , 2005, Journal of the American Veterinary Medical Association.

[22]  David L. Smith,et al.  Key strategies for reducing spread of avian influenza among commercial poultry holdings: lessons for transmission to humans , 2006, Proceedings of the Royal Society B: Biological Sciences.

[23]  H. Yoon,et al.  Virus spread pattern within infected chicken farms using regression model: the 2003-2004 HPAI epidemic in the Republic of Korea. , 2005, Journal of veterinary medicine. B, Infectious diseases and veterinary public health.

[24]  N. Taylor,et al.  Evaluation of the appicatoion of veteroinary judgement in the pre-emptive cull of contiguous premises during the epidemic of foot-and-mouth disease in Cumbria in 2001 , 2004, Veterinary Record.

[25]  Rob Deardon,et al.  Effect of data quality on estimates of farm infectiousness trends in the UK 2001 foot-and-mouth disease epidemic , 2007, Journal of The Royal Society Interface.

[26]  James Truscott,et al.  Control of a highly pathogenic H5N1 avian influenza outbreak in the GB poultry flock , 2007, Proceedings of the Royal Society B: Biological Sciences.

[27]  Rob Deardon,et al.  Optimal reactive vaccination strategies for a foot-and-mouth outbreak in the UK , 2006, Nature.

[28]  S. Riley.  Coping without farm location data during a foot-and-mouth outbreak , 2010, Proceedings of the National Academy of Sciences.