Authors: R. Cressman 1 and Y. Tao
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  • 1 Department of Mathematics Wilfried Laurier University Waterloo, Ontario N2L 3C5, Canada
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The theory of a monomorphic two-species ESS is developed as an uninvadable strategy for the discrete-time, frequency-dependent, two-strategy replicator dynamic based on evolutionary game theory. The results are compared to both the discrete-time, single-species frequency-dependent model and to the continuous-time, two-species frequency-dependent model. Dynamic stability is also analyzed at a two-species ESS for the polymorphic model. It is shown that the ESS is no longer necessarily dynamically stable. More complicated dynamics may emerge, such as a Naimark-Sacker bifurcation.

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