title: Dynamical phase transition in a model for evolution with migration.
abstract: We study a simple quasispecies model for evolution in two different habitats, with different fitness landscapes, coupled through one-way migration. Our key finding is a dynamical phase transition at a critical value of the migration rate, at which the time to reach the steady state diverges. The genetic composition of the population is qualitatively different above and below the transition. Using results from localization theory, we show that the critical migration rate may be very small-demonstrating that evolutionary outcomes can be very sensitive to even a small amount of migration.
authors.affiliation: SUPA, School of Physics and Astronomy, University of Edinburgh, Edinburgh, United Kingdom.
authors.forename: Bartłomiej
authors.initials: B
authors.lastname: Waclaw
authors.forename: Rosalind J
authors.initials: RJ
authors.lastname: Allen
authors.forename: Martin R
authors.initials: MR
authors.lastname: Evans
mesh_terms: D025041:Animal Migration; D000818:Animals; D005075:Biological Evolution; D017753:Ecosystem; D004641:Emigration and Immigration; D005838:Genotype; D006801:Humans; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted