A Boundary Problem Arising in Population Genetics

Publisher Website
Google Scholar
Abstract
It is proved that for any genetic system having more than one stable equilibrium state, "between" these stable points must lie a boundary set of systems which move eventually to none of the stable equilibria. It is suggested that these boundary sets each contain a semi-stable equilibrium. Examples are given of this property, and the difficulty of determining the boundary sets even in fairly simple cases is discussed. A method of constructing such hypothetical systems mathematically is given.

This publication has 1 reference indexed in Scilit: