Radial Domany-Kinzel models with mutation and selection.

@article{Lavrentovich2013RadialDM,
  title={Radial Domany-Kinzel models with mutation and selection.},
  author={Maxim O. Lavrentovich and Kirill S. Korolev and David R. Nelson},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={87 1},
  pages={
          012103
        }
}
We study the effect of spatial structure, genetic drift, mutation, and selective pressure on the evolutionary dynamics in a simplified model of asexual organisms colonizing a new territory. Under an appropriate coarse-graining, the evolutionary dynamics is related to the directed percolation processes that arise in voter models, the Domany-Kinzel (DK) model, contact process, and so on. We explore the differences between linear (flat front) expansions and the much less familiar radial (curved… 
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