Evolutionary dynamics on degree-heterogeneous graphs
摘要
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.
引用
@article{arxiv.q-bio/0601031,
title = {Evolutionary dynamics on degree-heterogeneous graphs},
author = {T. Antal and S. Redner and V. Sood},
journal= {arXiv preprint arXiv:q-bio/0601031},
year = {2009}
}
备注
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