The retreat of the less fit allele in a population-controlled model for population genetics

Hans F Weinberger

Research output: Contribution to journalArticlepeer-review

Abstract

It is shown that the solutions of a single-locus diploid model with population control for the spatial and temporal interaction of the three genotypes approach a constant-density equilibrium in which only the more fit allele is present, provided the density dependent birth rate and fitnesses have certain properties. The speed at which this phenomenon spreads is at least as great as that of the linearization of the corresponding Fisher equation. A larger upper bound for this speed is also obtained.

Original languageEnglish (US)
Pages (from-to)1295-1316
Number of pages22
JournalJournal of Mathematical Biology
Volume68
Issue number5
DOIs
StatePublished - Apr 1 2014

Keywords

  • Population genetics
  • Reaction-diffusion system
  • Spreading

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