BA Extended Model Based on the Competition Factors

The discovery of scale free network captured new sights for our understanding on complex system. Considering the growth and preferential attachment, BA model provided a lot of enlightenment for us. However, the two basic assumptions in BA model are still too simple for explaining many real phenomena, there are quite far distance to real networks. In this paper, we try to expand BA model, namely in the basis reality network, increases certain influence factors. We proposed the competitiveness factors in networks which affected the numbers of link of the nodes. According to competitive relations between nodes, advanced a new competition BA extended network model, the network model growth algorithm is given. This model algorithm is achieved by computer programming and gotten the experimental data and simulation graphics.