A local stability analysis is made in two-sex two-locus frequency-dependent selection models in order to precise the definition for an ESS that has to be used for such models. Uninvadability of fixation states and stability of polymor- phic equilibria are studied. It is shown that Cressman's conditions for a two-population ESS, which are less restric- tive than Taylor's conditions, are sufficient for local stability of fixation states but not for local stability of polymor- phic equilibria when selection is strong.
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