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Equilibria in an epistatic viability model under arbitrary strength of selection

Research paper by Sergey Gavrilets

Indexed on: 01 Apr '93Published on: 01 Apr '93Published in: Journal of Mathematical Biology



Abstract

A class of viability models that generalize the standard additive model for the case of pairwise additive by additive epistatic interactions is considered. Conditions for existence and stability of steady states in the corresponding two-locus model are analyzed. Using regular perturbation techniques, the case when selection is weaker than recombination and the case when selection is stronger than recombination are investigated. The results derived are used to make conclusions on the dependence of population characteristics on the relation between the strength of selection and the recombination rate.