| POSPÍŠIL, Zdeněk. Dynamic Selection Systems and Replicator Equations. In AlSharavi Z., Cushing J.M., Elaydi S. Theory and Applications of Difference Equations and Discrete Dynamical Systems. Heidelberg-New York-Dordrecht-London: Springer, 2014, p. 203-213. ISBN 978-3-662-44139-8. Available from: https://dx.doi.org/10.1007/978-3-662-44140-4_11. |
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@inproceedings{1204392,
author = {Pospíšil, Zdeněk},
address = {Heidelberg-New York-Dordrecht-London},
booktitle = {Theory and Applications of Difference Equations and Discrete Dynamical Systems},
doi = {http://dx.doi.org/10.1007/978-3-662-44140-4_11},
editor = {AlSharavi Z., Cushing J.M., Elaydi S.},
keywords = {replicator equation; time scale},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Heidelberg-New York-Dordrecht-London},
isbn = {978-3-662-44139-8},
pages = {203-213},
publisher = {Springer},
title = {Dynamic Selection Systems and Replicator Equations},
year = {2014}
}
TY - JOUR
ID - 1204392
AU - Pospíšil, Zdeněk
PY - 2014
TI - Dynamic Selection Systems and Replicator Equations
PB - Springer
CY - Heidelberg-New York-Dordrecht-London
SN - 9783662441398
KW - replicator equation
KW - time scale
N2 - The dynamic replicator equation is inferred from a generalized Kolmogorov-type dynamic system that is called selection system. This way, both systems have the same dimension. The main result shows that the replicator equation is in a certain sense equivalent to a selection system of lower dimension. Corollaries demonstrating connections with known results are also presented. The equations are interpreted as models of biological evolution on different time scales. Hence, the results show a link between ecology and evolution at least on the level of mathematical models.
ER -
POSPÍŠIL, Zdeněk. Dynamic Selection Systems and Replicator Equations. In AlSharavi Z., Cushing J.M., Elaydi S. \textit{Theory and Applications of Difference Equations and Discrete Dynamical Systems}. Heidelberg-New York-Dordrecht-London: Springer, 2014, p.~203-213. ISBN~978-3-662-44139-8. Available from: https://dx.doi.org/10.1007/978-3-662-44140-4\_{}11.
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