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Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-23657

Heinzmann, D; Barbour, A D; Torgerson, P R (2009). Compound processes as models for clumped parasite data. Mathematical Biosciences, 222(1):27-35.

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Compound processes are proposed as models for the acquisition of hydatid cysts in sheep, caused by the parasite Echinococcus granulosus. The hypothesis of a clumped infection process against single ingestions is tested and it is shown that the clump-based approach provides a more accurate description of the two data sets investigated. Models with simple and mixed Poisson incidence processes and different clump size distributions are compared. A mixed Poisson incidence process with a zero-truncated negative binomial distribution for the clump sizes is shown to give an adequate description, suggesting that the acquisition of hydatid cysts in the sheep population is heterogeneous, and that the clump sizes are aggregated. The estimates of the parameters derived from the data take plausible values. The average infection rate and the clump size distribution are comparable in both data sets. Goodness-of-fit measures indicate that the model fits the data reasonably well.


3 citations in Web of Science®
3 citations in Scopus®
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29 downloads since deposited on 04 Nov 2009
13 downloads since 12 months

Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:05 Vetsuisse Faculty > Institute of Parasitology
04 Faculty of Medicine > Institute of Parasitology

07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:570 Life sciences; biology
610 Medicine & health
600 Technology
510 Mathematics
Deposited On:04 Nov 2009 08:03
Last Modified:05 Apr 2016 13:31
Publisher DOI:10.1016/j.mbs.2009.08.007
PubMed ID:19715705

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