Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-40945
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, 257-266. ISBN 978-3-642-11154-9.
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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.
| Item Type: | Book Section, not refereed, original work |
|---|---|
| Communities & Collections: | 05 Vetsuisse Faculty > Institute of Parasitology 04 Faculty of Medicine > Institute of Parasitology |
| DDC: | 570 Life sciences; biology 610 Medicine & health 600 Technology |
| Language: | English |
| Date: | 2010 |
| Deposited On: | 06 Jan 2011 14:46 |
| Last Modified: | 09 Jul 2012 06:34 |
| 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: | 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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