Rare mutations in evolutionary dynamics

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:259

Article

Amadori, Anna Lisa¹  Calzolari, Antonella²  Natalini, Roberto³  Torti, Barbara² 

[1] Univ Napoli Parthenope, Dipartimento Sci Applicate, Naples, Italy

[2] Univ Roma Tor Vergata, Dipartimento Matemat, Rome, Italy

[3] CNR, Ist Applicaz Calcolo M Picone, I-00185 Rome, Italy

关键词: Coevolutionary dynamics;    Mutations;    Marked point processes;    Partial integro-differential equations;   

DOI  :  10.1016/j.jde.2015.07.021

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free