Publication details
Replikátorová rovnice - příklad užití matematiky v biologii
| Title in English | Replicator equation - an example of mathematics applied in life science |
|---|---|
| Authors | |
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | Kvaternion |
| MU Faculty or unit | |
| 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 | |
| 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. |