Dynamic replicator equation and its transformation

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Authors

POSPÍŠIL Zdeněk

Year of publication 2009
Type Article in Proceedings
Conference Difference Equations and Applications
MU Faculty or unit

Faculty of Science

Citation
Web http://icdea.bahcesehir.edu.tr/proceeding.htm
Field General mathematics
Keywords Replicator equation; Lotka-Volterra equations; time scale; transformation; population genetics; evolution
Description The replicator equation represents a model of game dynamics as well as evolutionary models for population genetics. The contribution introduces a dynamic replicator equation and basic qualitative properties of its solution. The main result states that under some assumptions, there exists a time scale such that the replicator equation is equivalent to the dynamic Lotka-Volterra equations.
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