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.
Related projects:	Difference equations and dynamic equations on time scales II