Abstract

A population subjected to the Fisher-Wright-Haldane selection model for three alleles always converges to a fixed state even if the matrix of viabilities is singular. In this case there can occur lines of equilibrium points being partly attracting, partly repulsive. If there are n alleles then the manifolds of equilibrium points can be of every dimension between zero and n−1. Some criteria for such manifolds to be asymptotically stable are derived in terms of determinants and eigenvalues of the viability matrix.

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