Abstract

On the basis of the dynamic evolution and competition of the complex network of industry alliances together with the limitations of the BBV network model, a competitive merit-based dynamic evolution model is constructed. It not only considers the addition of new nodes, but also the deletion of old nodes, the rewiring of old nodes and the deletion of old links appear in the networks. By using continuum theory and mean field theory, the corresponding evolution equation is established. The strength and degree distribution of the model still has the power-rate characteristics of scale-free networks and BBV scale-free network is a special case. The correctness of the theoretical analysis is proved by the simulation. The results show that by adjusting the parameters, it can coincide with the power -low exponent of many complex networks. Therefore, the improved model is more adaptive and authenticity.

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