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Critical case stochastic phylogenetic tree model via the Laplace transform
Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg.
Gdansk University of Technology.
2014 (English)In: Demonstratio Matematicae, ISSN 0420-1213, Vol. 47, no 2, 474-481 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2014. Vol. 47, no 2, 474-481 p.
National Category
Probability Theory and Statistics Evolutionary Biology
Research subject
URN: urn:nbn:se:uu:diva-241874OAI: oai:DiVA.org:uu-241874DiVA: diva2:781830

Svenska institutet supported this work through their √Ėstersj√∂samarbetet scholarship program.

Available from: 2015-01-19 Created: 2015-01-19 Last updated: 2015-01-26

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Bartoszek, Krzysztof
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