Hopf bifurcation in the two locus genetic model

DOI10.1090/memo/0284zbMath0525.34025OpenAlexW2059874147MaRDI QIDQ3039726

Ethan Akin

Publication date: 1983

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0284

zbMATH Keywords

limit cyclesHopf bifurcationcycling attractorsHopf locusselection matrices

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Averaging method for ordinary differential equations (34C29) Genetics and epigenetics (92D10)

Related Items (12)

Analysis of a continuous one-locus, two-allele genetic model with genotypic fertility differences ⋮ Proof of the Feldman-Karlin conjecture on the maximum number of equilibria in an evolutionary system ⋮ The ``battle of the sexes: A genetic model with limit cycle behavior ⋮ Evolution under the multilocus Levene model without epistasis ⋮ Multilevel mutation-selection systems and set-valued duals ⋮ Sex with no regrets: how sexual reproduction uses a no regret learning algorithm for evolutionary advantage ⋮ An interpretation and proof of the fundamental theorem of natural selection ⋮ Selection and mutation at a diallelic \(X\)-linked locus ⋮ Evolution under multiallelic migration-selection models ⋮ Stable cycling in quasi-linkage equilibrium: fluctuating dynamics under gene conversion and selection ⋮ Invariant manifolds of competitive selection-recombination dynamics ⋮ The selection mutation equation

This page was built for publication: Hopf bifurcation in the two locus genetic model