| Abstract: |
| We study the large population limit of a multi-strategy discrete-time Moran process in the weak selection
regime. By applying an appropriate simultaneous rescaling of the population size, the time step, and the selection
regime, we derive the replicator dynamics with genetic drift. We rigorously prove the existence of a
very weak solution for the resulting limit equation: a parabolic nonlocal equation characterized by a degenerate
principal operator of Fleming-Viot type.
This is a joint work with S. Almi, M. Morandotti, G. Orlando and F. Solombrino. |
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