A semi-stochastic model for Salmonella infection in a multi-group herd

Mathematical Biosciences

Volumn 200, Issue 2, 2006, Pages 214-233

  Xiao, Y ^a   Clancy, D ^a   French, N P ^a   Bowers, R G ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

Epidemiology; Hybrid process; Infection; Salmonella; Semi stochastic model

Indexed keywords

BIODIVERSITY; COMPUTER SIMULATION; DAIRIES; DISEASE CONTROL; EPIDEMIOLOGY; MATHEMATICAL MODELS;

HYBRID PROCESS; INFECTION; SALMONELLA; SEMI-STOCHASTIC MODEL;

BACTERIOLOGY;

DEMOGRAPHY; EPIDEMIOLOGICAL PHENOMENA; IMMUNE RESPONSE; INFECTIOUS DISEASE; MORTALITY; PATHOGEN; STOCHASTICITY;

ANALYTIC METHOD; ARTICLE; BACTERIAL STRAIN; CATTLE; CONTROLLED STUDY; EPIDEMIOLOGICAL DATA; FECES; HERD; IMMUNE RESPONSE; INFECTION; MORTALITY; NONHUMAN; PATHOGENESIS; PREVALENCE; PROBABILITY; SALMONELLA; SALMONELLOSIS; SIMULATION; STOCHASTIC MODEL;

ANIMALS; CATTLE; CATTLE DISEASES; FEMALE; MALE; MODELS, BIOLOGICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; SALMONELLA INFECTIONS, ANIMAL; SALMONELLA TYPHIMURIUM;

EURASIA; EUROPE; UNITED KINGDOM; WESTERN EUROPE;

BOS TAURUS; SALMONELLA;

EID: 33646558638     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2006.01.006     Document Type: Article

References (34)

1. Veterinary Laboratories Agency, Salmonella in Livestock Production in GB, 1999, 2000, 2002, VLA, Addlestore, UK.
2. MAFF, Zoonoses Report United Kingdom, Ministry of Agriculture, Fisheries and Food, UK, 1999, 2000.
3. Davies R.H. Salmonella typhimurium DT104: has it had its day?. In Pract. 23 (2001) 342
4. Xiao Y., Bowers R.G., Clancy D., and French N.P. Understanding the dynamics of Salmonella infections in dairy herds: a modelling approach. J. Theor. Biol. 233 (2005) 159
5. Bartlett M.S. Measles periodicity and community size. J. Roy. Statist. Soc. 102 (1957) 48
6. Cushing J.M., Dennis B., Desharnais R.A., and Costantino R.F. Moving toward and unstable equilibrium: saddle nodes in population systems. J. Animal Ecol. 67 (1998) 298
7. McCarley E., Nisbert R.M., Murdoch W.W., de Roos A.M., and Gurney W.S.C. Large amplitude cycles of daphnia and its algal prey in enriched environments. Nature 402 (1999) 653
8. Keeling M.J., and Grenfell B.T. Understanding the persistence of measles: reconciling theory, simulation and observation. Proc. Roy. Soc. Lond. B 269 (2002) 335
9. Plym-Forshell L., and Ekesbo I. Survival of Salmonellas in urine and dry faeces from cattle - an experimental study. Acta Vet. Scand. 37 (1996) 127
10. McLaren I.M., and Wray C. Epidemiology of Salmonella typhimurium infection in calves: persistence of salmonellae on calf units. Vet. Rec. 129 (1991) 461
11. Clegg F.G., et al. Outbreaks of Salmonella-newport infection in dairy herds and their relationship to management and contamination of the environment. Vet. Rec. 112 (1983) 580
12. O'Connell J.M., Giller P.S., and Meaney W.J. Weanling training and cubicle usage as heifers. Appl. Anim. Behav. Sci. 37 (1993) 185
13. Blowey R.W. A Veterinary Book for Dairy Farmers (1986), Farming
14. Gardner I.A., et al. Mortality, morbidity, case-fatality and culling rates for California dairy cattle as evaluated by the National Animal Health Monitoring System, 1986-1987. Prev. Vet. Med. 8 (1990) 157
15. Tyler J.W., et al. Partitioning the mortality risk associated with inadequate passive transfer of colostral immunoglobulins in dairy calves. J. Vet. Int. Med. 13 (1999) 335
16. Young G.B., et al. Culling and wastage in dairy cows in East Anglia. Vet. Rec. 113 (1983) 107
17. Himathongkham S., Bahari S., Riemann H., and Cliver D. Survival of Escherichia coli O157:H7 and Salmonella typhimurium in cow manure and cow slurry. FEMS Microbiol. Lett. 178 (1999) 251
18. Turner J., Begon M., Bowers R.G., and French N.P. A model appropriate to the transmission of a human food-borne pathogen in a multigroup managed herd. Prev. Vet. Med. 57 (2003) 175
19. Anderson R.M., and May R.M. Infectious Diseases of Humans: Dynamics and Control (1992), Oxford Science Publications
20. Hethcote H.W. The mathematics of infectious diseases. SIAM Rev. 42 (2000) 599
21. Diekmann O., and Heesterbeek J.A.P. Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation (2000), Wiley, New York, USA
22. Metz J.A.J. The epidemic in a closed population with all susceptibles equally vulnerable: some results for large susceptible populations and small initial infections. Acta Biotheoretica 27 (1978) 75
23. Ball F.G. The threshold behavior of epidemic models. J. Appl. Probab. 20 (1983) 227
24. Clancy D. Strong approximations for mobile population epidemic models. Ann. Appl. Probab. 6 (1996) 883
25. Ball F.G., and Clancy D. The final size and severity of a generalised stochastic multitype epidemic model. Adv. Appl. Probab. 25 (1993) 721
26. van Herwaarden O.A. Stochastic epidemics: the probability of extinction of an infectious disease at the end of a major outbreak. J. Math. Biol. 35 (1997) 793
27. Renshaw E. Modelling Biological Populations in Space and Time (1993), Cambridge University Press
28. Hagenaars T.J., Donnelly C.A., and Ferguson N.M. Spatial heterogeneity and the persistence of infectious disease. J. Theor. Biol. 229 (2004) 349
29. Hollinger K., et al. Salmonella Typhimurium DT104 in cattle in Great Britain. J. Am. Vet. Med. Assoc. 213 (1998) 1732
30. Davies R.H. A two year study of Salmonella Typhimurium DT 104 infection and contamination on cattle farms. Cattle Pract. 5 (1997) 189
31. Huston C.L., Wittum T.E., and Love B.C. Persistent fecal Salmonella shedding in five dairy herds. J. Am. Vet. Med. Assoc. 220 (2002) 650
32. Edrington T.S., et al. Variation in the faecal shedding of Salmonella and E. coli O157:H7 in lactating dairy cattle and examination of Salmonella genotypes using pulsed-field gel electrophoresis. Lett. Appl. Microbiol. 38 (2004) 366
33. Richardson A. Salmonellosis in cattle. Vet. Rec. 96 (1975) 329
34. Feller W. An Introduction to Probability Theory and its Applications, third ed. vol. 1 (1968), Wiley, New York