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Phys Rev Lett. 2006 May 12;96(18):188104. Epub 2006 May 11.

Evolutionary dynamics on degree-heterogeneous graphs.

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1
Center of Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA.

Abstract

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 dynamics) or by an individual giving birth to an offspring that takes over a random neighbor node (invasion process 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 voter model dynamics and to 1/k for invasion process dynamics.

PMID:
16712402
PMCID:
PMC2430074
DOI:
10.1103/PhysRevLett.96.188104
[Indexed for MEDLINE]
Free PMC Article
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