Commun. Comput. Phys., 7 (2010), pp. 534-543.

Effects of Complex System Topology on the Bak-Sneppen Evolution Model

L. Guo 1*, X. Cai 1

1 Complexity Science Center and Institute of Particle Physics, Huazhong (Central China) Normal University, Wuhan, 430079, China.

Received 4 May 2009; Accepted (in revised version) 3 June 2009
Available online 1 September 2009


In this paper, we investigate by numerical simulations the Bak-Sneppen model (BSM) for biological evolution on scale-free networks (SFNs) with various degree exponents $\gamma$. We find that the punctuated equilibrium is rather robust with respect to the network topology. Furthermore, we analyze the evolution of the critical average fitness $\langle f \rangle_{*}$ and the exponent $\tau$ of $\langle f \rangle_{0}$ avalanche as a function of $\alpha$ (i.e., the degree exponent $\gamma$). Our observations indicate the dependence of evolutionary dynamics of BSM on the complex biosystem topology.

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PACS: 05.65.+b, 87.23.Kg, 89.75.-k
Key words: Complex system topology, Bak-Sneppen model, punctuated equilibrium, the average fitness.

*Corresponding author.
Email: (L. Guo), (X. Cai)

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