The fixation probability and time for a doubly beneficial mutant

2016/10/20 by Bossert, Sebastian, Pfaffelhuber, Peter
#60J80 #60J85 #92D10 (Secondary) #92D15 (Primary) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1610.06613

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 ρ, 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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