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

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

2006-08-02

arxiv.org/abs/math/0608041v1

Mathematics

Analysis of PDEs

Submitted

Scientific paper

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.

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