Berlin 2015 – wissenschaftliches Programm

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 3: Evolutionary Dynamics of Social Systems

SOE 3.3: Vortrag

Montag, 16. März 2015, 10:30–10:45, MA 001

Traveling waves in evolutionary dynamics — •Reinhard Mahnke¹, Jevgenijs Kaupuzs², Martins Brics¹, Hans Weber³, and Sebastian Rosmej¹ — ¹Rostock University, Institute of Physics, D-18051 Rostock, Germany — ²University of Latvia, LV-1459 Riga, Latvia — ³Lulea University of Technology, S-97187 Lulea, Sweden

Here we consider models based on certain evolutionary dynamics written as Fisher-Eigen equation. Each species has its own fitness. We investigate the probability density as function of time for the evolution of a population of different species.

This reaction-diffusion (also called adoption-exploration) dynamics shows traveling waves soltions relevant for evolutionaly biology as well as in social systems.

In the context of the Fisher equation we explore the expansion and evolution of patterns or trends as an important example.