Abstract: The classic model of scalcfrec networks selects some nodes in a certain probability in the global scope, and then it will establish a fixed connection in priority among them,but as we know that it is difficult to do this in reality.To solve this problem, the paper established a model based on the scale-free network by introducing the coupling coefficicnts and attracting factor in the BA scalcfrec network, and gave the degree distribution of the evolved model by the theoretical analysis. The analysis proves that this model has a more obvious features of a scale-free network. The simulation results also show that the degree distribution based on a power-law distribution has a better stability and a wider range of applicability.

Key words: Scale-free network, Coupling coefficients, Attracting factor, Node degree, Model building