Publication details

Dynamic replicator equation and its transformation

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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