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Small mutation rate and evolutionarily stable strategies in infinite dimensional adaptive dynamics

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Abstract

An integrodifferential equations model for the distribution of individuals with respect to the age at maturity is considered. Mutation is modeled by an integral operator. Results concerning the behaviour of the steady states and their relation to evolutionarily stable strategies when the mutation rate is small are given. The same results are obtained for a (rather) general class of models that include the one mentioned before.

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Correspondence to Sílvia Cuadrado.

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This work was partially supported by DGICYT PB98-0932-C02-02 and DGI BMF2002-04613-C03.

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Calsina, À., Cuadrado, S. Small mutation rate and evolutionarily stable strategies in infinite dimensional adaptive dynamics. J. Math. Biol. 48, 135–159 (2004). https://doi.org/10.1007/s00285-003-0226-6

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  • DOI: https://doi.org/10.1007/s00285-003-0226-6

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