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 lin...