Publication details
Dynamic replicator equation and its transformation
| Authors | |
|---|---|
| Year of publication | 2009 |
| Type | Article in Proceedings |
| Conference | Difference Equations and Applications |
| MU Faculty or unit | |
| Citation | |
| Web | http://icdea.bahcesehir.edu.tr/proceeding.htm |
| Field | General mathematics |
| Keywords | Replicator equation; Lotka-Volterra equations; time scale; transformation; population genetics; evolution |
| Description | The replicator equation represents a model of game dynamics as well as evolutionary models for population genetics. The contribution introduces a dynamic replicator equation and basic qualitative properties of its solution. The main result states that under some assumptions, there exists a time scale such that the replicator equation is equivalent to the dynamic Lotka-Volterra equations. |
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