Critical case stochastic phylogenetic tree model via the Laplace transform

Bartoszek, Krzysztof,1984-Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences (author)

Svenska institutet supported this work through their Östersjösamarbetet scholarship program.
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.

Krzeminski, MichalGdansk University of Technology,Gdanski Uniwersytet Medyczny,Medical University of Gdańsk (author)
Göteborgs universitetInstitutionen för matematiska vetenskaper (creator_code:org_t)

About the subject

NATURAL SCIENCES: NATURAL SCIENCES; and Mathematics; and Probability Theo ...

NATURAL SCIENCES: NATURAL SCIENCES; and Biological Scien ...; and Evolutionary Bio ...

By the university: Linköping University; Chalmers University of Technology; Uppsala University; University of Gothenburg

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