Existence and nonexistence of steady-state solutions for a selection-migration model in population genetics

K. J. Brown*, Song-Sun Lin, A. Tertikas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

We discuss a selection-migration model in population genetics, involving two alleles A1 and A2 such that A1 is at an advantage over A2 in certain subregions and at a disadvantage in others. It is shown that if A1 is at an overall disadvantage to A2 and the rate of gene flow is sufficiently large than A1 must die out; on the other hand, if the two alleles are in some sense equally advantaged overall, then A1 and A2 can coexist no matter how great the rate of gene flow.

Original languageEnglish
Pages (from-to)91-104
Number of pages14
JournalJournal of Mathematical Biology
Volume27
Issue number1
DOIs
StatePublished - 1 Feb 1989

Keywords

  • Bifurcation theory
  • Indefinite weight functions
  • Population genetics
  • Sub- and supersolutions

Fingerprint Dive into the research topics of 'Existence and nonexistence of steady-state solutions for a selection-migration model in population genetics'. Together they form a unique fingerprint.

Cite this