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@inproceedings{836651, author = {Pospíšil, Zdeněk}, address = {Istanbul, Turkey}, booktitle = {Difference Equations and Applications}, keywords = {Replicator equation; Lotka-Volterra equations; time scale; transformation; population genetics; evolution}, howpublished = {tištěná verze "print"}, language = {eng}, location = {Istanbul, Turkey}, isbn = {978-975-6437-80-3}, pages = {251-258}, publisher = {Bahcesehir University Press}, title = {Dynamic replicator equation and its transformation}, url = {http://icdea.bahcesehir.edu.tr/proceeding.htm}, year = {2009} }
TY - JOUR ID - 836651 AU - Pospíšil, Zdeněk PY - 2009 TI - Dynamic replicator equation and its transformation PB - Bahcesehir University Press CY - Istanbul, Turkey SN - 9789756437803 KW - Replicator equation KW - Lotka-Volterra equations KW - time scale KW - transformation KW - population genetics KW - evolution UR - http://icdea.bahcesehir.edu.tr/proceeding.htm 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{Difference Equations and Applications}. Istanbul, Turkey: Bahcesehir University Press, 2009, s.~251-258. ISBN~978-975-6437-80-3.
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