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Time to extinction in a two-host interaction model for the macroparasite Echinococcus granulosus


Heinzmann, D (2010). Time to extinction in a two-host interaction model for the macroparasite Echinococcus granulosus. In: González Velasco, M; Puerto, I M; Molina, M; Mota, M; Ramos, A. Workshop on Branching Processes and Their Applications. Berlin Heidelberg: Springer-Verlag, 257-266.

Abstract

An approximation is derived for the time to extinction in a sub-critical epidemic two-host interaction process for the macroparasite Echinococcus granulosus.
The argument is based on coupling the epidemic model with a two-type branching process, and then to approximate the time to extinction for the branching process.
It is shown that the approximate time is proportional to the logarithm of a weighted sum of the initially infectives in the host populations plus a Gumbel random variable.
The accuracy of the approximation is illustrated.

Abstract

An approximation is derived for the time to extinction in a sub-critical epidemic two-host interaction process for the macroparasite Echinococcus granulosus.
The argument is based on coupling the epidemic model with a two-type branching process, and then to approximate the time to extinction for the branching process.
It is shown that the approximate time is proportional to the logarithm of a weighted sum of the initially infectives in the host populations plus a Gumbel random variable.
The accuracy of the approximation is illustrated.

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Additional indexing

Item Type:Book Section, not refereed, original work
Communities & Collections:05 Vetsuisse Faculty > Institute of Parasitology
04 Faculty of Medicine > Institute of Parasitology
Dewey Decimal Classification:570 Life sciences; biology
610 Medicine & health
600 Technology
Language:English
Date:2010
Deposited On:06 Jan 2011 13:46
Last Modified:10 Nov 2016 14:13
Publisher:Springer-Verlag
Series Name:Lecture Notes in Statistics
Number:197
ISSN:0930-0325
ISBN:978-3-642-11154-9
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:https://doi.org/10.1007/978-3-642-11156-3_18
Related URLs:http://www.math.uzh.ch/fileadmin/user/heinzman/downloads/Articles/heinzmann_revisedversion.pdf

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