Models for genetic evolution in large populations
by
Fabio Chalub
Universidade Nova de Lisboa
Coauthors: Max O Souza

A model for the evolution of a given population should include both random evolution and natural selection. In this talk we will define some finite population evolutionary processes and find some Fokker-Planck type partial differential equation as the large population limit of these processes. These equations are of degenerate type, i.e., coefficients are zero on the boundaries and this introduces some technical problems. We also obtain the replicator dynamics as the small diffusion limit of these equations.

Date received: March 29, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caum-07.