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Mathematical modelling and theory for estimating the basic reproduction number of canine leishmaniasis

Published online by Cambridge University Press:  06 April 2009

G. Hasibeder ,
C. Dye  and
J. Carpenter
G. Hasibeder
Affiliation:
Abteilung für Mathematische Biologie, Technische Universität Wien, Wiedner Hauptstrasse 8/118, A-1040 Wien, Austria
C. Dye
Affiliation:
Department of Medical Parasitology, London School of Hygiene and Tropical Medicine, Keppel Street, London WC 1E 7HT, UK
J. Carpenter
Affiliation:
Department of Mathematics, University of Warwick, Coventry CV4 7AL, UK
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Extract

The paper describes a mathematical model for canine leishmaniasis and presents formulae which can be used to estimate the basic reproduction number, R0. The primary concern has been to devise methods of estimation which make best use of those data most easily obtained by fieldwork, e.g. surveys of prevalence in dog (by age) and sandfly populations. A range of formulae are offered which are more or less demanding of data, and which consequently give more or less precise estimates of R0. They include methods for assessing the influence on R0 of heterogeneous biting rates of sandflies on dogs, in which the essence of heterogeneous transmission can be captured merely by measuring relative rather than absolute contact rates.

Keywords

canine leishmaniasisepidemiologyheterogeneous transmissionmathematical modelbasic reproduction numberforce of infectionsandflies.
Type
Research Article
Information
Parasitology , Volume 105 , Issue 1 , August 1992 , pp. 43 - 53
Copyright
Copyright © Cambridge University Press 1992

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