Muller’s ratchet clicks in finite time

Julien Audiffren and Etienne Pardoux

Stochastic Processes and their Applications, 2013, vol. 123, issue 6, 2370-2397

Abstract: We consider the accumulation of deleterious mutations in an asexual population, a phenomenon known as Muller’s ratchet, using the continuous time model proposed by Alison et al. (2009) [4]. We show that for any parameter λ>0 (the rate at which mutations occur), for any α>0 (the toxicity of the mutations) and for any size N>0 of the population, the ratchet clicks a.s. in finite time. That is to say the minimum number of deleterious mutations in the population goes to infinity a.s.

Keywords: Fleming–Viot process; Accumulation of deleterious mutations; Infinite dimensional SDEs (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spa.2013.02.008

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