Differential Equations and Numerical Analysis Seminar - 31/10/2012

Wednesday, 31 October 2012, 12:00 p.m.

Lecturer: Telmo Peixe, Faculdade de Ciências da Universidade de Lisboa

Title: "Stable dissipativity in the replicator equation".

Local: Room 3.5, Edifício VII
Faculdade de Ciências e Tecnologia, Quinta da Torre, Caparica

Abstract: Josef Hofbauer in 1981 stated the equivalence between the replicator equation and the Lotka-Volterra systems. Based on this equivalence, we intend to study the applicability to the replicator equation of an algorithm running on the graph of the interaction matrix of stably dissipative Lotka-Volterra systems developed by Redheff er et al. in 1980. Finally we discuss some possible applications presenting one example.