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A stochastic model for phylogenetic trees. (English) Zbl 1180.60079
A stochastic model of the birth-death type is proposed for phylogenetic trees; the paper especially refers to influenza and HIV phylogenetic trees. Assumptions made in the paper are:
\(\bullet\) At each birth a fitness to new type from a fixed distribution is allowed,
\(\bullet\) At each death the type with smallest fitness is killed,
\(\bullet\) The process commence with a single type.
The paper does not develop distribution of tree which is a complex task. Instead the authors concentrate on developing theorems that are dependent on birth rate. They indicate that their results are consistent field observations.

MSC:
60K35 Interacting random processes; statistical mechanics type models; percolation theory
92D30 Epidemiology
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