Replikátorová rovnice - příklad užití matematiky v biologii

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Title in English	Replicator equation - an example of mathematics applied in life science
Authors	POSPÍŠIL Zdeněk
Year of publication	2012
Type	Article in Periodical
Magazine / Source	Kvaternion
MU Faculty or unit	Faculty of Science
Citation
Web	http://kvaternion.fme.vutbr.cz/2012/kvat2_separaty/pospisil_sep.pdf
Field	General mathematics
Keywords	Replicator equation; mathematical model; ecology; population genetics; evolution
Attached files	pospisil_final.pdf
Description	A survey article presents an ordinary differential equations model of a populations community evolution and a difference equation model of allele frequency change. These models possess an analogical form, that is, genetics and ecology represents special cases of a more general theory; in particular, of evolutionary synthesis (neo-darwinism). This result illustrates a power of mathematics for description of life. The second part of article studies asymptotic properties of the equation.