The Bak-Sneppen Model on Scale-Free Networks

Yamir Moreno, Alexei Vazquez

Published 2001-08-29, updated 2002-02-27Version 2

We investigate by numerical simulations and analytical calculations the Bak-Sneppen model for biological evolution in scale-free networks. By using large scale numerical simulations, we study the avalanche size distribution and the activity time behavior at nodes with different connectivities. We argue the absence of a critical barrier and its associated critical behavior for infinite size systems. These findings are supported by a single site mean-field analytic treatment of the model.