The study on a comprehensive evolving model of directed weighted stock network based on information services

Based on correlation of the stock price fluctuation of the information services stock network in Shanghai A-share and Shenzhen A-share, this paper established a stock network according to the given weight of the company´s relative value. Then it proposes a comprehensive directed weighted evolving network model that integrated fitness-based preferential attachment, node deletion, link establishment and link deletion. Next, after a deduction about the evolution of the comprehensive network model, it concludes the power-law feature of strength distribution. Finally, according to the distribution of different node fitness, the paper analyzes the evolution of the stock network and verifies it by using numerical simulations.