Deterministic evolution of an asexual population under the action of beneficial and deleterious mutations on additive fitness landscapes.

Abstract excerpt

We study a continuous time model for the frequency distribution of an infinitely large asexual population in which both beneficial and deleterious mutations occur and fitness is additive. When beneficial mutations are ignored, the exact solution for the frequency distribution is known to be a Poisson distribution. Here we include beneficial mutations and obtain exact expressions for the frequency distribution at...

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