Literature DB >> 6947282

Stable cycling in discrete-time genetic models.

A Hastings.   

Abstract

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.

Mesh:

Year:  1981        PMID: 6947282      PMCID: PMC349229          DOI: 10.1073/pnas.78.11.7224

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN: 0027-8424            Impact factor:   11.205


  2 in total

1.  General two-locus selection models: some objectives, results and interpretations.

Authors:  S Karlin
Journal:  Theor Popul Biol       Date:  1975-06       Impact factor: 1.570

2.  Marginal underdominance at a stable equilibrium.

Authors:  A Hastings
Journal:  Proc Natl Acad Sci U S A       Date:  1981-10       Impact factor: 11.205

  2 in total
  18 in total

1.  Further properties of Gavrilets' one-locus two-allele model of maternal selection.

Authors:  Hamish G Spencer
Journal:  Genetics       Date:  2003-08       Impact factor: 4.562

2.  Error bounds for the fundamental and secondary theorems of natural selection.

Authors:  T Nagylaki
Journal:  Proc Natl Acad Sci U S A       Date:  1991-03-15       Impact factor: 11.205

3.  Population models of genomic imprinting. II. Maternal and fertility selection.

Authors:  Hamish G Spencer; Timothy Dorn; Thomas LoFaro
Journal:  Genetics       Date:  2006-06-18       Impact factor: 4.562

4.  Stable long-period cycling and complex dynamics in a single-locus fertility model with genomic imprinting.

Authors:  Jeremy Van Cleve; Marcus W Feldman
Journal:  J Math Biol       Date:  2008-02-06       Impact factor: 2.259

5.  Establishment of allelic two-locus polymorphisms.

Authors:  H R Gregorius
Journal:  J Math Biol       Date:  1991       Impact factor: 2.259

6.  Multilocus selection in subdivided populations I. Convergence properties for weak or strong migration.

Authors:  Reinhard Bürger
Journal:  J Math Biol       Date:  2008-11-21       Impact factor: 2.259

7.  Selection and mutation at a diallelic X-linked locus.

Authors:  J M Szucs
Journal:  J Math Biol       Date:  1991       Impact factor: 2.259

8.  The Fundamental Theorem of Natural Selection in Ewens' sense (case of fertility selection).

Authors:  S Lessard; A M Castilloux
Journal:  Genetics       Date:  1995-10       Impact factor: 4.562

9.  Complex dynamics of multilocus systems subjected to cyclical selection.

Authors:  V M Kirzhner; A B Korol; E Nevo
Journal:  Proc Natl Acad Sci U S A       Date:  1996-06-25       Impact factor: 11.205

10.  Effects of differential selection in the sexes on cytonuclear polymorphism and disequilibria.

Authors:  C S Babcock; M A Asmussen
Journal:  Genetics       Date:  1996-10       Impact factor: 4.562

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