Evolutionary dynamics on degree-heterogeneous graphs.
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.
Antal
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Center of Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA.
Redner
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Sood
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D000818:Animals; D005075:Biological Evolution; D003198:Computer Simulation; D006801:Humans; D008954:Models, Biological; D009154:Mutation; D012641:Selection, Genetic; D013045:Species Specificity