Cycling in Simple Genetic Systems

Author

Ethan Akin, Missouri University of Science and TechnologyFollow

Abstract

We describe the - unexpected - occurrence of stable limit cycles in the two locus, two allele model. No frequency dependence is involved. The cycles are due to the interaction between recombination and natural selection. © 1982 Springer-Verlag.

Recommended Citation

E. Akin, "Cycling in Simple Genetic Systems," Journal of Mathematical Biology, vol. 13, no. 3, pp. 305 - 324, Springer, Jan 1982.

The definitive version is available at https://doi.org/10.1007/BF00276066

Department(s)

Mathematics and Statistics

Keywords and Phrases

Adaptive topography; Cycling; Fisher's theorem; Kimura's maximum principle; Lyapunov function; Mean fitness; Two locus model

International Standard Serial Number (ISSN)

1432-1416; 0303-6812

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2026 Springer, All rights reserved.

Publication Date

01 Jan 1982