The fixation probability and time for a doubly beneficial mutant

Sebastian Bossert; Peter Pfaffelhuber

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arXiv · 1610.06613

The fixation probability and time for a doubly beneficial mutant

Sebastian Bossert·Peter Pfaffelhuber

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Abstract

For a highly beneficial mutant $A$ entering a randomly reproducing population of constant size, we study the situation when a second beneficial mutant $B$ arises before $A$ has fixed. If the selection coefficient of $B$ is greater than the selection coefficient of $A$, and if $A$ and $B$ can recombine at some rate $\rho$, there is a chance that the double beneficial mutant $AB$ forms and eventually fixes. We give a convergence result for the fixation probability of $AB$ and its fixation time for large selection coefficients.

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Sebastian Bossert, Peter Pfaffelhuber. 2016-10-20. The fixation probability and time for a doubly beneficial mutant. https://arxiv.org/abs/1610.06613

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