The research on the comprehensive model of the evolving trade network

Based on the results of the fact - finding visit, this paper established a comprehensive directed weighted evolving network model that integrated fitness-based preferential attachment, node deletion, link establishment and link deletion, and performed analytical deductions. Then the in-strength distribution index is taken as the main object of study, this paper validated the model respectively when the node fitness is homogenesis, when the node fitness is chosen from the [0, 1] uniform distribution, and when the node fitness is chosen from the exponential distribution. Finally, this paper analyzed the influence of different mechanism of evolution to the power law index, and validated the model with numerical simulations.