The Metapopulation Dynamics of an Infectious Disease: Tuberculosis in Possums

Theoretical Population Biology

Volumn 61, Issue 1, 2002, Pages 15-29

  Fulford, G R ^a,c   Roberts, M G ^a   Heesterbeek, J A P ^b,d  

^a AGRESEARCH   (New Zealand)

^b WAGENINGEN UNIVERSITY   (Netherlands)

^c GEOSCIENCE AUSTRALIA   (Australia)

^d Faculty of Veterinary Medicine   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DISEASE SPREAD; EPIDEMIOLOGY; MARSUPIAL; METAPOPULATION; POPULATION DYNAMICS; POPULATION MODELING; TUBERCULOSIS;

ANIMALIA; BOS TAURUS; BOVINAE;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; CATTLE; CATTLE DISEASE; DISEASE CARRIER; DISEASE TRANSMISSION; ECOLOGY; INFECTION CONTROL; MYCOBACTERIUM BOVIS; NEW ZEALAND; OPOSSUM; POPULATION DYNAMICS; POPULATION MIGRATION;

ANIMAL MIGRATION; ANIMALS; CATTLE; COMMUNICABLE DISEASE CONTROL; DISEASE RESERVOIRS; ECOLOGY; MODELS, BIOLOGICAL; MYCOBACTERIUM BOVIS; NEW ZEALAND; OPOSSUMS; POPULATION DYNAMICS; TUBERCULOSIS, BOVINE;

EID: 0036482783     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.2001.1553     Document Type: Article

References (34)

1. Anderson R. M., May R. M. Infectious Diseases of Humans: Dynamics and Control. 1991;Oxford University Press, New York.
2. Barlow N. D. A spatially aggregated disease/host model for bovine Tb in New Zealand possum populations. J. Appl. Ecol. 28:1991;777-793.
3. Barlow N. D. A model for the spread of bovine Tb in New Zealand possum populations. J. Appl. Ecol. 30:1993;156-164.
4. Barlow N. D. Bovine tuberculosis in New Zealand: Epidemiology and models. Trends Microbiol. 2:1994;119-125.
5. Barlow N. D. The ecology of wildlife disease control: Simple models revisited. J. Appl. Ecol. 33:1996;303-314.
6. Bolker B. M. Group report: Spatial dynamics of infectious diseases in natural populations. Grenfell B. T., Dobson A. P. Ecology of Infectious Diseases in Natural Populations. 1995;384-398 Cambridge University Press, Cambridge.
7. Caley P., Hickling G. J., Cowan P., Pfeiffer D. U. Effects of sustained control of brushtail possums on levels of Mycobacterium bovis infection in cattle and brushtail possum populations from Hohotaka, New Zealand. NZ Vet. J. 47:1999;133-142.
8. Caley P., Spencer N. J., Cole R. A., Efford M. G. The effect of manipulating population density on the probability of den-sharing among common brushtail possums, and the implications for transmission of bovine tuberculosis. Wildlife Res. 25:1998;383-392.
9. Cheesman C. L., Wiseman J. W., Stuart F. A. Tuberculosis: The disease and epidemiology in the badger, a review. Epidem. Inf. 103:1989;113-125.
10. Coleman J. D., Cooke M. M., Jackson R., Webster R. Temporal patterns in bovine tuberculosis in a brushtail possum population contiguous with infected cattle in the Ahaura valley, Westland. NZ Vet. J. 47:1999;119-124.
11. Coleman J. D., Jackson R., Cooke M. M., Grueber L. Prevalence and spatial distribution of bovine tuberculosis in brushtail possums on a forest-scrub margin. NZ Vet. J. 42:1994;128-132.
12. Cowan P. E. Brushtail possum. King C. M. The Handbook of New Zealand Mammals. 1990;68-98 Oxford University Press, Oxford.
13. Diekmann O., Heesterbeek J. A. P. Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation. Wiley Series in Mathematical and Computational Biology. 2000;Wiley, Chichester.
14. 0 in models for infectious diseases in heterogeneous populations. J. Math. Biol. 28:1990;365-382.
15. Dobson A. P., Grenfell B. T. Introduction. Grenfell B. T., Dobson A. P. Ecology of Infectious Diseases in Natural Populations. 1995;1-19 Cambridge University Press, Cambridge.
16. Efford M. Demographic consequences of sex-biased dispersal in a population of brushtail possums. J. Anim. Ecol. 67:1998;503-517.
17. Hanski I. A., Gilpin M. E. Metapopulation Biology. 1997;Academic Press, San Diego.
18. Heesterbeek J. A. P., Roberts M. G. Mathematical models for microparasites of wildlife. Grenfell B. T., Dobson A. P. Ecology of Infectious Diseases in Natural Populations. 1995;90-122 Cambridge University Press, Cambridge.
19. Hess G. Disease in metapopulation models: Implications for conservation. Ecology. 77:1996;1617-1632.
20. Hickling G. Clustering of tuberculosis infection in brushtail possum populations: Implications for epidemiological simulation models. Griffin F., de Lisle G. Tuberculosis in Wildlife and Domestic Animals. 1995;174-177 University of Otago Press, Dunedin.
21. Jackson R. S., Cooke M. M., Coleman J. D., Morris R. S., de Lisle G. W., Yates G. F. Naturally occurring tuberculosis caused by Mycobacterium bovis in brushtail possums (Trichosurus vulpecula): III. Routes of infection and excretion. NZ Vet. J. 43:1995;322-327.
22. 0 s for subgroups in heterogeneous SIS and SI models. Mollison D. Epidemic Models: Their Structure and Data. 1995;279-301 Cambridge University Press, Cambridge.
23. Kao R. R., Roberts M. G. A comparison of wildlife control and cattle vaccination as methods for the control of bovine tuberculosis. Epidem. Inf. 122:1999;505-519.
24. Lloyd A. L., May R. M. Spatial heterogeneity in epidemic models. J. Theor. Biol. 179:1996;1-11.
25. Louie K., Roberts M. G., Wake G. C. Thresholds and stability analysis of models for the spatial spread of a fatal disease. IMA J. Math. Appl. Med. Biol. 10:1993;207-226.
26. Mollison D., Levin S. A. Spatial dynamics of parasitism. Grenfell B. T., Dobson A. P. Ecology of Infectious Diseases in Natural Populations. 1995;384-398 Cambridge University Press, Cambridge.
27. Morris R. S., Pfeiffer D. U. Directions and issues in bovine tuberculosis control in New Zealand. N.Z. Vet J. 43:1995;256-265.
28. Murray J. D. Mathematical Biology. 1990;Springer-Verlag, New York.
29. Pech R. P., McIlroy J. C. A model of the velocity of advance of foot and mouth disease in feral pigs. J. Appl. Ecol. 27:1990;635-650.
30. Pfeiffer D. U. The Role of a Wildlife in the Epidemiology of Bovine Tuberculosis. 1994;Massey University.
31. Roberts M. G. The dynamics of bovine tuberculosis in possum populations, and its eradication or control by culling or vaccinations. J. Anim. Ecol. 65:1996;451-464.
32. Roberts M. G., Kao R. R. The dynamics of an infectious disease in a population with birth pulses. Math. Biosc. 149:1998;23-36.
33. Ruxton G. D. The effects of stochasticity and seasonality on model dynamics: Bovine tuberculosis in badgers. J. Anim. Ecol. 65:1996;495-500.
34. Swinton J., Tuyttens F., Macdonald D., Nokes D. J., Cheeseman C. L., Clifton-Hadeley R. A comparison of fertility control and lethal control of bovine tuberculosis in badgers: The impact of perturbation induced transmission. Phil. Trans. R. Soc. London B. 352:1997;619-631.