A mathematical model of the dynamics of scrapie in a sheep flock

Mathematical Biosciences

Volumn 153, Issue 2, 1998, Pages 79-98

  Stringer, S M ^a,b   Hunter, N ^b   Woolhouse, M E J ^a,c  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b INSTITUTE FOR ANIMAL HEALTH   (United Kingdom)

^c UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DISEASE SPREAD; MODEL; SHEEP;

ARTICLE; EPIDEMIC; GENETIC PREDISPOSITION; GENOTYPE; LIFE EXPECTANCY; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; SCRAPIE; SHEEP DISEASE; VERTICAL TRANSMISSION;

AGE FACTORS; ALLELES; ANIMALS; BIRTH RATE; COMPUTER SIMULATION; DISEASE OUTBREAKS; DISEASE SUSCEPTIBILITY; DISEASE TRANSMISSION, HORIZONTAL; DISEASE TRANSMISSION, VERTICAL; FEMALE; INCIDENCE; MALE; MODELS, BIOLOGICAL; MORTALITY; PREVALENCE; SCRAPIE; SENSITIVITY AND SPECIFICITY; SHEEP; SURVIVAL ANALYSIS; TIME FACTORS;

OVIS ARIES;

EID: 18544401427     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(98)10036-6     Document Type: Article

References (16)

1. Hoinville L.J. A review of the epidemiology of scrapie in sheep. Rev. Sci. Tech. Off. Int. Epiz. 15:1996;827.
2. M.E. Bruce et al., The disease characteristics of different strains of scrapie in sinc congenic mouse lines - implications for the nature of the agent and host control of pathogenesos, J. Gen. Virol. 72 (1991) 595.
3. N. Hunter et al., Natural scrapie in a closed flock of Suffolk sheep occurs only in specific PrP genotypes, Arch. Virol. 141 (1996) 809.
4. S. Busenberg, M. Martelli, Differential Equation Models in Biology, Epidemiology and Ecology, Springer, Berlin, 1991.
5. R.J. Leveque, Numerical Methods for Conservation Laws, Birkhauser, Basel, 1992.
6. J.W. Thomas, Numerical Partial Differential Equations, Springer, New York, 1995.
7. M. Evans, N. Hastings, B. Peacock, Statistical Distributions, Wiley, New York, 1993.
8. W.H. Press et al., Numerical Recipes in Fortran, Cambridge University, Cambridge, 1992.
9. C. Hirsch, Numerical Computation of Internal and External Flows, Wiley, Chichester, 1988.
10. K.W. Morton, D.F. Mayers, Numerical Solution of Partial Differential Equations, Cambridge University, Cambridge, 1994.
11. R.L. Burden, J.D. Faires, Numerical Analysis, PWS-Kent, Boston, 1989.
12. R.M. Anderson, R.M. May, Infectious Diseases of Humans: Dynamics and Control, Oxford University, Oxford, 1991.
13. R.M. Anderson, C.A. Donnelly, N.M. Ferguson, M.E.J. Woolhouse et al., Transmission dynamics and epidemiology of BSE in British cattle, Nature 382 (1996) 779.
14. S. Busenberg, K. Cooke, Vertically Transmitted Diseases Models and Dynamics, Springer, New York, 1993.
15. Lipsitch M., Nowak M.A., Ebert D., May R.M. The population dynamics of vertically and horizontally transmitted parasites. Proc. Roy. Soc. London. B 260:1995;321.
16. M.E.J. Woolhouse et al., Epidemiology and control of scrapie within a sheep flock. Proc. Roy. Soc. London B 265 (1998) 1205.