You are here: Home
/ Publication Information
Title: Dynamical Analysis of Density-dependent Selection in a Discrete one-island Migration Model
Author: Roberds, James H.; Selgrade, James F.;
Source: Mathematical Biosciences 164 (2000) l-15
Publication Series: Miscellaneous Publication
Description: A system of non-linear difference equations is used to model the effects of density-dependent selection and migration in a population characterized by two alleles at a single gene locus. Results for the existence and stability of polymorphic equilibria are established. Properties for a genetically important class of equilibria associated with complete dominance in fitness are described. The birth of an unusual chaotic attractor is also illustrated. This attractor is produced when migration causes chaotic dynamics on a boundary of phase space to bifurcate into the interior of phase space, resulting in bistable genetic polymorphic behavior.
Keywords: selection, migration, genotype, density-dependence, bifurcation
- We recommend that you also print this page and attach it to the printout of the article, to retain the full citation information.
- This article was written and prepared by U.S. Government employees on official time, and is therefore in the public domain.
- You may send email to email@example.com to request a hard copy of this publication. (Please specify exactly
which publication you are requesting and your mailing address.)
XML: View XML
Roberds, James H.; Selgrade, James F. 2000. Dynamical Analysis of Density-dependent Selection in a Discrete one-island Migration Model. Mathematical Biosciences 164 (2000) l-15
Get the latest version of the Adobe Acrobat reader or Acrobat Reader for Windows with Search and Accessibility