Commun. Comput. Phys., 7 (2010), pp. 534-543. Effects of Complex System Topology on the Bak-Sneppen Evolution Model L. Guo 1*, X. Cai 11 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 doi:10.4208/cicp.2009.09.075 Abstract 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. Notice: Undefined variable: ams in /var/www/html/issue/abstract/readabs.php on line 163 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: longkuo0314@gmail.com (L. Guo), xcai@mail.ccnu.edu.cn (X. Cai)