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@proceedings{788301, author = {Pospíšil, Zdeněk}, booktitle = {14th International Conference on Difference Equations and Applications}, keywords = {Replicator equation; Lotka-Volterra equations; time scale; transformation; population genetics; evolution}, language = {eng}, title = {Dynamic replicator equation and its transformation}, year = {2008} }
TY - CONF ID - 788301 AU - Pospíšil, Zdeněk PY - 2008 TI - Dynamic replicator equation and its transformation KW - Replicator equation KW - Lotka-Volterra equations KW - time scale KW - transformation KW - population genetics KW - evolution N2 - 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. ER -
POSPÍŠIL, Zdeněk. Dynamic replicator equation and its transformation. In \textit{14th International Conference on Difference Equations and Applications}. 2008.
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