The dynamical way to mutation-selection balance of an infinite population evolving on a truncated fitness landscape

摘要

This paper presents the exact analytical solution, valid for all generations and initial conditions, for the frequency distribution of haploids with infinite-sites genome carrying a given number of mutations in a population evolving deterministically on a truncated fitness landscape. This landscape is a generalization of the single sharp peak one, widely used in quasispecies theory, although here there are no reverse mutations.