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A mathematical model of the population biology of Ostertagia ostertagi in calves and yearlings

Published online by Cambridge University Press:  06 April 2009

B. T. Grenfell ,
G. Smith  and
R. M. Anderson
B. T. Grenfell
Affiliation:
Department of Pure and Applied Biology, Imperial College, London University, London SW7 2BB
G. Smith
Affiliation:
Department of Pure and Applied Biology, Imperial College, London University, London SW7 2BB
R. M. Anderson
Affiliation:
Department of Pure and Applied Biology, Imperial College, London University, London SW7 2BB
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Summary

A mathematical model of the population biology of Ostertagia ostertagi is described. The model assumes that the natural control and regulation of parasite numbers is mediated by four processes: the effect of climate on the development and survival of the free-living stages; changes in the rate of establishment of the infective larvae, and density-dependent variations in parasite survival and fecundity. The model is used to compare the course of the infection in two groups of calves. One group is assumed to have been reared under conditions typical of S.E. England and the other under conditions typical of Louisiana, USA. The more general behaviour of the model is discussed in the context of sensitivity analysis. The model is an excellent mimic of the epidemiology of bovine ostertagiasis. It can be used as a simple screening procedure to help determine which of many possible anthelmintic control strategies should be selected for more detailed examination in the field, and it provides a theoretical framework within which ideas concerning the epidemiology of parasitic gastro-enteritis can be assessed and refined.

Type
Research Article
Information
Parasitology , Volume 95 , Issue 2 , October 1987 , pp. 389 - 406
Copyright
Copyright © Cambridge University Press 1987

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