Rare Mutations in Evolutionary Dynamics

Abstract

In this paper we study the effect of rare mutations, driven by a marked point process, on the evolutionary behavior of a population. We derive a Kolmogorov equation describing the expected values of the different frequencies and prove some rigorous analytical results about their behavior. Finally, in a simple case of two different quasispecies, we are able to prove that the rarity of mutations increases the survival opportunity of the low fitness species.

References in corpus (1)

• Coevolutionary dynamics in large, but finite populations

Cited by in corpus (2)

• A rare mutation model in a spatial heterogeneous environment: the Hawk and Dove game
• A Structure-Preserving Rational Integrator for the Replicator Dynamics on the Probability Simplex