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Updated: Jul 11, 2026

Following the Dynamics of Structural Variants in Experimentally Evolved Populations
Published on: February 3, 2023
Evolutionary stability concepts for N-species frequency-dependent interactions
R Cressman1, J Garay, J Hofbauer
1Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada. rcressman@wlu.ca
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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