The Bak-Sneppen model on scale-free networks

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.

[1]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[2]  Alessandro Vespignani,et al.  Optimal immunisation of complex networks , 2001 .

[3]  D S Callaway,et al.  Network robustness and fragility: percolation on random graphs. , 2000, Physical review letters.

[4]  W. Modell.  Population, Species and Evolution , 1971 .

[5]  K. Christensen,et al.  Evolution of Random Networks , 1998 .

[6]  Béla Bollobás,et al.  Modern Graph Theory , 2002, Graduate Texts in Mathematics.

[7]  Cohen,et al.  Resilience of the internet to random breakdowns , 2000, Physical review letters.

[8]  M. Kimura,et al.  The neutral theory of molecular evolution. , 1983, Scientific American.

[9]  Béla Bollobás,et al.  Random Graphs , 1985 .