Stable cycling in discrete-time genetic models. | Zendy

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Stable cycling in discrete-time genetic models.

Author(s) -

Alan Hastings

Publication year - 1981

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.78.11.7224

Subject(s) - cycling , locus (genetics) , discrete time and continuous time , mathematics , selection (genetic algorithm) , biological system , control theory (sociology) , statistical physics , biology , computer science , genetics , physics , statistics , artificial intelligence , geography , archaeology , gene , control (management)

Examples of stable cycling are discussed for two-locus, two-allele, deterministic, discrete-time models with constant fitnesses. The cases that cycle were found by using numerical techniques to search for stable Hopf bifurcations. One consequence of the results is that apparent cases of directional selection may be due to stable cycling.

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