Dynamic Selection Systems and Replicator Equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00074014" target="_blank" >RIV/00216224:14310/14:00074014 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-662-44140-4_11" target="_blank" >http://dx.doi.org/10.1007/978-3-662-44140-4_11</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-662-44140-4_11" target="_blank" >10.1007/978-3-662-44140-4_11</a>
Alternative languages
Result language
angličtina
Original language name
Dynamic Selection Systems and Replicator Equations
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP201%2F10%2F1032" target="_blank" >GAP201/10/1032: Difference equations and dynamic equations on time scales III</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Theory and Applications of Difference Equations and Discrete Dynamical Systems
ISBN
9783662441398
ISSN
2194-1009
e-ISSN
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Number of pages
11
Pages from-to
203-213
Publisher name
Springer
Place of publication
Heidelberg-New York-Dordrecht-London
Event location
Muscat, Oman
Event date
Jan 1, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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