Publication details

Replikátorová rovnice - příklad užití matematiky v biologii

Title in English Replicator equation - an example of mathematics applied in life science


Year of publication 2012
Type Article in Periodical
Magazine / Source Kvaternion
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Replicator equation; mathematical model; ecology; population genetics; evolution
Attached files
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.

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