Discrete versus continuous models in evolutionary dynamics: from simple to simpler -- and even simpler -- models

Abstract

There are many different models--both continuous and discrete--used to describe gene mutation fixation. In particular, the Moran process, the Kimura equation and the replicator dynamics are all well known models, that might lead to different conclusions. We present a discussion of a unified framework to embrace all these models, in the large population regime.

Submitted

References in corpus (3)

• Coevolutionary Dynamics: From Finite to Infinite Populations
• Semiclassical Asymptotics for the Maxwell - Dirac System
• The continuous limit of the Moran process and the diffusion of mutant genes in infinite populations

Cited by in corpus (4)

• Fixation times in evolutionary games under weak selection
• Stochastic slowdown in evolutionary processes
• From discrete to continuous evolution models: a unifying approach to drift-diffusion and replicator dynamics
• Fixation, transient landscape and diffusion's dilemma in stochastic evolutionary game dynamics