Evolutionary stability concepts for N-species frequency-dependent interactions.

R Cressman; J Garay; J Hofbauer

doi:10.1006/jtbi.2001.2321

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Evolutionary stability concepts for N-species frequency-dependent interactions.

R Cressman·J Garay·J Hofbauer

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Abstract

The classical static concept of an evolutionarily stable strategy (ESS) for a single species gives rise to two new notions when there are more than two species (called an N-species ESS and RL-stability). The paper relates these to the dynamic stability of monomorphic and polymorphic evolutionary systems. It is shown that RL-stability implies the global asymptotic stability of either system with or without mutations. However, the N-species ESS only implies stability of the monomorphic system.

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Animals Biological Evolution Models, Genetic Mutation Polymorphism, Genetic Selection, Genetic Journal Article Research Support, Non-U.S. Gov't

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R Cressman, J Garay, J Hofbauer. 2001-07-07. Evolutionary stability concepts for N-species frequency-dependent interactions.. https://doi.org/10.1006/jtbi.2001.2321

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