University of Sussex
Browse

File(s) not publicly available

An analysis of the fixation probability of a mutant on special classes of non-directed graphs

journal contribution
posted on 2023-06-08, 09:10 authored by M Broom, J Rychtár
There is a growing interest in the study of evolutionary dynamics on populations with some non-homogeneous structure. In this paper we follow the model of Lieberman et al. (Lieberman et al. 2005 Nature 433, 312–316) of evolutionary dynamics on a graph. We investigate the case of non-directed equally weighted graphs and find solutions for the fixation probability of a single mutant in two classes of simple graphs. We further demonstrate that finding similar solutions on graphs outside these classes is far more complex. Finally, we investigate our chosen classes numerically and discuss a number of features of the graphs; for example, we find the fixation probabilities for different initial starting positions and observe that average fixation probabilities are always increased for advantageous mutants as compared with those of unstructured populations

History

Publication status

  • Published

Journal

Proceedings A: Mathematical, Physical and Engineering Sciences

ISSN

1364-5021

Publisher

Royal Society, The

Issue

2098

Volume

464

Page range

2609-2627

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2013-02-15

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC