Modelling Patterns of Parasite Aggregation in Natural Populations: Trichostrongylid Nematode-Ruminant Interactions as a Case Study

Parasitology

Volumn 111, Issue S1, 1995, Pages S135-S151

  Dietz, K ^c   Wilson, K ^a   Boyd, H E G ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

aggregation; distribution; egg counts; immunity; model; moment closure equations; negative binomial; parasite; sheep; St Kilda; Teladorsagia circumcincta; Wildlife diseases

Indexed keywords

ARTICLE; HOST PARASITE INTERACTION; IMMUNITY; INFECTION RATE; NONHUMAN; PARASITOSIS; POPULATION DYNAMICS; PRIORITY JOURNAL; WILDLIFE; WORM INFECTION;

EID: 0029552715     PISSN: 00311820     EISSN: 14698161     Source Type: Journal    
DOI: 10.1017/S0031182000075867     Document Type: Article

References (41)

1. ADLER, F. R. & KRETZSCHMAR, M. (1992). Aggregation and stability in parasite-host models. Parasitology 104, 199-205.
2. ANDERSON, R. M. & GORDON, D. (1982). Processes influencing the distribution of parasite numbers within host populations with special emphasis on parasite-induced host mortalities. Parsitology 85, 373-8.
3. ANDERSON, R. M. & MAY, R. M. (1978a). Regulation and stability of host-parasite population interactions. I. Regulatory processes. Journal of Animal Ecology 47, 219-47.
4. ANDERSON, R. M. & MAY, R. M. (1978b). Regulation and stability of host-parasite population interactions. II. Destabilising processes. Journal of Animal Ecology 47, 248-67.
5. ANDERSON, R. M. & MAY, R. M. (1991). Infectious Diseases of Humans: Dynamics and Control. Oxford: O.U.P.
6. ANDERSON, R. M. & MEDLEY, G. F. (1985 a). Community control of helminth infections of man by mass and selective chemotherapy. Parasitology 90, 629-60.
7. ANDERSON, R. M. & MEDLEY, G. F. (1985b). Community control of helminth infections of mass and selective chemotherapy. Parasitology 90, 629-60.
8. ANDERSON, R. M. & MICHEL, J. (1977). Density-dependent survival in populations of Ostertagia ostertagi. International Journal for Parasitology 7, 321-9.
9. COYNE, M. & SMITH, G. (1994). Trichostrongylid parasites of domestic ruminants. InParasitic and Infectious Diseases: Epidemiology and Ecology (ed. Scott, M. & Smith, G.). San Diego: Academic Press.
10. CROFTON, H. (1971). A quantative approach to parasitism. Parasitology 62, 179-93.
11. DIETZ, K. (1982). Overall population patterns in the transmission cycle of infectious agents. In Population Biology of Infectious Diseases (ed. Anderson, R. & May, R.). Berlin: Springer.
12. GRENFELL, B. T. (1988). Gastrointestinal nematode parasites and the stability and productivity of intensive ruminant grazing systems. Philosophical Transactions of the Royal Society of London Series B - Biological Sciences 321, 541-63.
13. GRENFELL, B. T. (1992). Parasitism and the dynamics of ungulate grazing systems. American Naturalist 139, 907-29.
14. GRENFELL, B. T., DAS, P., RAJAGOPALAN, P. & BUNDY, D. (1990). Frequency distribution of lymphatic filariasis microfilariae in human populations: population processes and statistical estimation. Parasitology 101, 417-27.
15. GRENFELL, B. T., DIETZ, K. & ROBERTS, M. (1995). Modelling the immunoepidemiology of macroparasites in wildlife host populations. In Ecology of Infectious Diseases in Natural Populations (ed. Grenfell, B. T. & Dobson, A.). Cambridge. C.U.P.
16. GRENFELL, B. T., PRICE, O., ALBON, S. & CLUTTON-BROCK, T. (1992). Overcompensation and population cycles in an ungulate. Nature 355, 245-8.
17. GRENFELL, B. T., SMITH, G. & ANDERSON, R. (1987a). A mathematical model of the population biology of Ostertagia ostertagi in calves and yearlings. Parasitology 95, 389-406.
18. GRENFELL, B. T., SMITH, G. & ANDERSON, R. (1987b). The regulation of Ostertagia ostertagi populations in calves: the effect of past and current experience of infection on proportional establishment and parasite survival. Parasitology 95, 363-72.
19. GULLAND, F. (1992). The role of nematode parasites in Soay sheep (Ovis aries L.) mortality during a population crash. Parasitology 105, 493-503.
20. GULLAND, F. & FOX, M. (1992). Epidemiology of nematode infections in Soay sheep (Ovis aries L.) on St Kilda. Parasitology 105, 485-92.
21. HADELER, K. & DIETZ, K. (1983). Nonlinear hyperbolic partial differential equations for the dynamics of parasite populations. Computing and Mathematics with Applications 3, 415-30.
22. HONG, C., MICHEL, J. & LANCASTER, M. (1987). Observations on the dynamics of worm burdens in lambs infected daily withOstertagia circumcincta. International Journal for Parasitology 17, 951-6.
23. HUDON, P. & DOBSON, A. (1995). Macroparasites: observed patterns. In Ecology of Infectious Diseases in Natural Populations (ed. Grenfell, B. & Dobson, A.). Cambridge: C.U.P.
24. ISHAM, V. (1991). Assessing the variability of stochastic epidemics. Mathematical Biosciences 107, 209-24.
25. ISHAM, V. (1993). Stochastic models for epidemics with special reference to AIDS. Annals of Applied Probability 3, 1-27.
26. ISHAM, V. (1995). Stochastic models of host-macroparsite interaction. Annals of Applied Probability 5, (In Press).
27. KRETZCHMAR, M. (1989). Persistent solutions in a model for parasitic infections. Journal of Mathematical Biology 27 549-73.
28. KRETZSCHMAR, M. & ADLER, F. (1993). Aggregated distributions in models for patchy populations. Theoretical Population Biology 43, 1-30.
29. KURTZ, T. (1971). Limit theorems for sequences of jump Markov processes approximating ordinary differential processes. Journal of Applied Probability 8, 344-56.
30. MICHEL, J. (1970). The regulation of populations of Ostertagia ostertagi in calves. Parasitology 61, 435-47.
31. PACALA, S. & DOBSON, A. (1988). The relation between the number of parasites/host and host age: population dynamic causes and maximum likelihood estimation. Parasitology 96, 197-210.
32. QUINNELL, R. & KEYMER, A. (1990). Acquired immunity and epidemiology. In Parasites: Immunity and Pathology: the Consequences of Parasitic Infections in Mammals (ed. Behnke, J.). London: Taylor & Francis.
33. ROBERTS, M., SMITH, G. & GRENFELL, B. (1995). Mathematical models for macroparasites of wildlife. In Ecology of Infectious Diseases in Natural Populations (ed. Grenfell, B. & Dobson, A.). Cambridge: C.U.P.
34. SHAW, D. (1994). Distributions of Macroparasites in Naturally-fluctuating Host Populations. PhD thesis, University of Cambridge.
35. SMITH, G. (1989). Population biology of the parasitic phase of Ostertagia circumcincta. International Journal for Parasitology 19, 385-93.
36. SMITH, G. (1995). Macroparasite group report. In Ecology of Infectious Diseases in Natural Populations (ed. Grenfell, B. & Dobson, A.). Cambridge: C.U.P.
37. SMITH, G. & GALLIGAN, D. (1988). Mathematical models of the population biology of Ostertagia ostertagi and Teladorsagia circumcincta and the economic evaluation of control strategies. Veterinary Parasitology 27, 73-83.
38. STEAR, M., BAIRDEN, K., DUNCAN, J., GETTINBY, G., MCKELLAR, Q., MURRAY, M. & WALLACE, D. (1995). The distribution of fecal nematode egg counts in Scottish blackface lambs following natural, predominantly Ostertagia circumcincta infection. Parasitology 110, 573-581.
39. WHITTLE, P. (1957). On the use of the normal approximation in the treatment of stochastic processes. Journal of the Royal Statistical Society B19, 268-81.
40. WILSON, K. (1994). Analysis of worm and egg counts from the 1992 crash. Technical report, Department of Zoology, University of Cambridge.
41. WOOLHOUSE, M. (1992). A theoretical framework for the immunoepidemiology of helminth infection. Parasite Immunology 14, 563-78.