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Critical case stoch...
Critical case stochastic phylogenetic tree model via the Laplace transform
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- Bartoszek, Krzysztof, 1984- (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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- Krzeminski, Michal (author)
- Gdansk University of Technology,Gdanski Uniwersytet Medyczny,Medical University of Gdańsk
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(creator_code:org_t)
- De Gruyter, 2014
- 2014
- English.
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In: Demonstratio Matematicae. - : De Gruyter. - 0420-1213 .- 2391-4661. ; 47:2, s. 474-481
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Abstract
Subject headings
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- Birth-and-death models are now a common mathematical tool to describe branching patterns observed in real-world phylogenetic trees. Liggett and Schinazi (2009) is one such example. The authors propose a simple birth-and-death model that is compatible with phylogenetic trees of both in uenza and HIV, depending on the birth rate parameter. An interesting special case of this model is the critical case where the birth rate equals the death rate. This is a non-trivial situation and to study its asymptotic behaviour we employed the Laplace transform. With this we correct the proof of Liggett and Schinazi (2009) in the critical case.
Subject headings
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Biologi -- Evolutionsbiologi (hsv//swe)
- NATURAL SCIENCES -- Biological Sciences -- Evolutionary Biology (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Mathematics
- Matematik
- Tauberian theory
- Phylogenetic tree
- Stochastic model
- Tauberian theory
Publication and Content Type
- ref (subject category)
- art (subject category)
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