2006/01/31 by T. Antal, S. Redner, V. Sood · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #q-bio.PE #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.96.188104
published as Phys. Rev. Lett. 96, 188104 (2006) · 4 pages, 4 figures, 2 column revtex4 format. Revisions in response to referee comments for publication in PRL. The version on arxiv.org has one more figure than the published PRL
arxiv created 2006/05/11 · arxiv updated 2009/12/01
The evolution of two species with different fitness is investigated on degree-heterogeneous graphs. The population evolves either by one individual dying and being replaced by the offspring of a random neighbor (voter model (VM) dynamics) or by an individual giving birth to an offspring that takes over a random neighbor node (invasion process (IP) dynamics). The fixation probability for one species to take over a population of N individuals depends crucially on the dynamics and on the local environment. Starting with a single fitter mutant at a node of degree k, the fixation probability is proportional to k for VM dynamics and to 1/k for IP dynamics.