Bayesian analysis of experimental epidemics of foot-and-mouth disease

Proceedings of the Royal Society B: Biological Sciences

Volumn 271, Issue 1544, 2004, Pages 1111-1117

  Streftaris, George ^a   Gibson, Gavin J ^a  

^a HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

Bayesian inference; Foot and mouth disease; Markov chain Monte Carlo; Stochastic epidemic modelling; Transmission chain

Indexed keywords

DISEASE TRANSMISSION; EPIDEMIC; FOOT AND MOUTH DISEASE;

ARTICLE; BAYES THEOREM; COMPARTMENT MODEL; EPIDEMIC; EPIDEMIOLOGICAL DATA; FOOT AND MOUTH DISEASE; METHODOLOGY; NONHUMAN; PRIORITY JOURNAL; PROBABILITY; SHEEP; STATISTICAL ANALYSIS; VIREMIA; VIRUS INFECTION; VIRUS TRANSMISSION;

ANIMALIA; FOOT-AND-MOUTH DISEASE VIRUS; OVIS ARIES; RNA VIRUSES;

EID: 2942576309     PISSN: 09628452     EISSN: 14712970     Source Type: Journal    
DOI: 10.1098/rspb.2004.2715     Document Type: Article

References (24)

1. Bailey, N. T. J. 1975 The mathematical theory of infectious diseases and its applications, 2nd edn. London: Griffin.
2. Becker, N. G. 1983 Analysis of data from a single epidemic. Aust. J. Statist. 25, 191-197.
3. Becker, N. G. 1989 Analysis of infectious disease data. London: Chapman & Hall.
4. Britton, T. & O'Neill, P. D. 2002 Statistical inference for stochastic epidemics in populations with random social structure. Scand. J. Statist. 29, 375-390.
5. Cox, S. J., Barnett, P. V., Dani, P. & Salt, J. S. 1999 Emergency vaccination of sheep against foot-and-mouth disease: protection against disease and reduction in contact transmission. Vaccine 17, 1858-1868.
6. De Angelis, D., Gilks, W. R. & Day, N. E. 1998 Bayesian projection of the acquired immune deficiency syndrome epidemic (with discussion). Appl. Statist. 47, 449-498.
7. Ferguson, N. M., Donnelly, C. A., Woolhouse, M. E. J. & Anderson, R. M. 1997 The epidemiology of BSE in GB cattle herds. II. Model construction and analysis of transmission dynamics. Phil. Trans. R. Soc. Lond. B 352, 803-838. (DOI 10.1098/rstb.1997.0063.)
8. Gelfand, A. E. & Smith, A. F. M. 1990 Sampling-based approaches to calculating marginal densities. J. Am. Statist. Assoc. 85, 398-409.
9. Ghani, A. C., Ferguson, N. M., Donnelly, C. A., Hagenaars, T. J. & Anderson, R. M. 1998 Epidemiological determinants of the pattern and magnitude of the vCJD epidemic in Great Britain. Proc. R. Soc. Lond. B 265, 2443-2452. (DOI 10.1098/rspb.1998.0596.)
10. Gibson, C. F. & Donaldson, A. I. 1986 Exposure of sheep to natural aerosols of foot-and-mouth disease virus. Res. Vet. Sci. 41, 45-49.
11. Gibson, G. J. 1997 Markov chain Monte Carlo methods for fitting spatiotemporal stochastic models in plant epidemiology. Appl. Statist. 46, 215-233.
12. Gibson, G. J. & Renshaw, E. 1998 Estimating parameters in stochastic compartmental models using Markov chain Monte Carlo methods. IMA J. Math. Appl. Med. Biol. 15, 19-40.
13. Gibson, G. J. & Renshaw, E. 2001 Likelihood estimation for stochastic compartmental models using Markov chain methods. Statist. Comput. 11, 347-358.
14. Höhle, M., Jorgensen, E. & O'Neill, P. D. 2003 Inference in disease transmission experiments using stochastic epidemic models. Research Report 03-13, Division of Statistics, School of Mathematical Sciences, University of Nottingham, UK.
15. Hughes, G. H., Kitching, R. P. & Woolhouse, M. E. J. 2002a Dose-dependent responses of sheep inoculated intranasally with type O foot-and-mouth disease virus. J. Comp. Pathol. 127, 22-29.
16. Hughes, G. H., Mioulet, V., Haydon, D. T., Kitching, R. P., Donaldson, A. I. & Woolhouse, M. E. J. 2002b Serial passage of foot-and-mouth disease virus in sheep reveals declining levels of viraemia over time. J. Gen. Virol. 83, 1907-1914.
17. Kitching, R. P. & Mackay, D. K. 1994 Foot and mouth disease. State Vet. J. 4, 7-10.
18. Mackay, D. K. J., Newman, B. & Sachpatzidis, A. 1995 Epidemiological analysis of the serological survey for antibody to FMD virus, Greece 1994. Report of the Institute for Animal Health, Pirbright, UK, and the Animal Health Office, Xanthi, Greece.
19. Meng, X. L. 1994 Posterior predictive p-values. Ann. Statist. 22, 1142-1160.
20. O'Neill, P. D. & Becker, N. G. 2001 Inference for an epidemic when susceptibility varies. Biostatistics 2, 99-108.
21. O'Neill, P. D. & Roberts, G. O. 1999 Bayesian inference for partially observed stochastic epidemics. J. R. Statist. Soc. A 162, 121-129.
22. Sellers, R., Herniman, K. & Gumm, I. 1977 The airbourne dispersal of foot and mouth disease virus from vaccinated and recovered pigs, cattle and sheep after exposure to infection. Res. Vet. Sci. 23, 70-75.
23. Streftaris, G. & Gibson, G. J. 2004 Bayesian inference for stochastic epidemics in closed populations. Statist. Model. 4, 63-75.
24. Tierney, L. 1994 Markov chains for exploring posterior distributions (with discussion). Ann. Statist. 22, 1701-1762.