Convergence to equilibrium in the classical model of population genetics

DOI10.1016/0022-247X(84)90215-4zbMath0539.92014OpenAlexW1994911567MaRDI QIDQ794571

Aulbach, Bernd, Karl Peter Hadeler

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(84)90215-4

zbMATH Keywords

population geneticsstationary pointconvergence to equilibriumFisher's equationcontinuous timeregular pointomega limitclassical model of population genetics

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Genetics and epigenetics (92D10) Ordinary differential equations and systems on manifolds (34C40)

Related Items (1)

Bernd Aulbach—Obituary

Cites Work

• Behavior of solutions near manifolds of periodic solutions
• On manifolds of equilibria in the selection model for multiple alleles
• On the equilibrium states in certain selection models
• A geometrical analysis of fitness in triply allelic systems
• Iterates approaching hyperbolic manifolds of fixed points.
• An Inequality Arising in Genetical Theory
• ON AN INEQUALITY IN PARTIAL AVERAGES
• Invariant manifolds with asymptotic phase
• A MATRIX INEQUALITY
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