DOI: 10.1209/epl/i2002-00529-8


Europhys. Lett., 57 (5) , pp. 765-771 (2002)

The Bak-Sneppen model on scale-free networks

Y. Moreno¹ and A. Vazquez<sup>2

1</sup>  The Abdus Salam International Centre for Theoretical Physics, Condensed Matter Group - P.O. Box 586, Trieste, I-34014, Italy
²  International School for Advanced Studies (SISSA) - Trieste, Italy

yamir@ictp.trieste.it

(Received 24 August 2001; accepted in final form 5 December 2001)

Abstract
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.

PACS
89.75.-k - Complex systems.
05.65.+b - Self-organized systems.
87.23.-n - Ecology and evolution.


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