Uninvadability in N-species frequency models for resident-mutant systems with discrete or continuous time |
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Authors: | Cressman Ross |
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Affiliation: | Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada N2L 3C5. rcressma@wlu.ca |
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Abstract: | The uninvadability concept, that was originally introduced through static comparisons of individual fitness in resident-mutant systems for a single species, is developed for multi-species models with frequency-dependent fitness by extending its equivalent single-species dynamic characterization. This multi-species definition is then reinterpreted in terms of individual fitness functions based on intra and interspecific interactions. The resultant concept is discussed in relation to that of an N-species ESS (evolutionarily stable strategy) and to dynamic stability of monomorphic and polymorphic evolutionary systems. |
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