Analytic approach to the evolutionary effects of genetic exchange

Elisheva Cohen, David A. Kessler, Herbert Levine

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We present an approximate analytic study of our previously introduced model of evolution including the effects of genetic exchange. This model is motivated by the process of bacterial transformation. We solve for the velocity, the rate of increase of fitness, as a function of the fixed population size, N. We find the velocity increases with ln N, eventually saturating at an N which depends on the strength of the recombination process. The analytical treatment is seen to agree well with direct numerical simulations of our model equations.

Original languageEnglish
Article number016113
JournalPhysical Review E
Issue number1
StatePublished - Jan 2006


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