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Time to extinction in a two-host interaction model for the macroparasite Echinococcus granulosus
- Source :
- Workshop on Branching Processes and Their Applications ISBN: 9783642111549
- Publication Year :
- 2010
- Publisher :
- Springer-Verlag, 2010.
-
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.
- Subjects :
- 10078 Institute of Parasitology
Extinction
Logarithm
biology
610 Medicine & health
biology.organism_classification
humanities
Gumbel distribution
600 Technology
parasitic diseases
570 Life sciences
Quantitative Biology::Populations and Evolution
Macroparasite
Applied mathematics
Epidemic model
Echinococcus granulosus
Random variable
Branching process
Subjects
Details
- ISBN :
- 978-3-642-11154-9
- ISBNs :
- 9783642111549
- Database :
- OpenAIRE
- Journal :
- Workshop on Branching Processes and Their Applications ISBN: 9783642111549
- Accession number :
- edsair.doi.dedup.....cffaa180037b8816d5656f61fd8ccd20
- Full Text :
- https://doi.org/10.5167/uzh-40945