The industry is the key to economic development. This paper proposed a fractal evolutionary dynamic model of industry based on the propagation dynamics theory from the perspective of fractal theory. The model quantitatively portrays the evolutionary trend of industries and provides reasonable solutions to the problems faced by industrial structure optimization. First, the fractal characteristics of the industrial system are analyzed, and the proposed model is used to study the evolution of industry and enterprise impact values at different granularities. Subsequently, the impact of micro firms on the macro industrial development was further investigated. Finally, the correctness of the model simulation results was verified by real data. The results showed that the evolution of industries under different granularities shows self-similarity and that micro industries with small and medium-sized enterprises (SMEs) were more influential in the development of industries. Finally, the proposed fractal evolutionary dynamics model of the industry has proven to be reasonable and effective through empirical comparison. This study provided new insights for solving industrial development problems with high theoreticality and reliability.
Currently, China's new urbanization pays special attention to the happiness of residents, and due to that, the study surveyed 1,000 urban and rural residents with "Brief Version of the Subjective well-being Scale for Chinese Residents", and the outcome indicated that factors like gender, education as well as household registration affect residents' subjective well-being. Additionally, it was also noted that there are apparent differences between urban and rural residents in the area of contentment, social confidence, self-worth, and physical health.
In this paper, first, the structure of social networks was investigated from fractal perspective and the fractal network was built from online social networks. Then inspired by the flock effect, the characteristics of “separation”, “cohesion” and “alignment” in information propagation were studied from the inherent granularity structure of fractal communities. Accordingly, the agreement degree and controversy degree between community members at different granularities were defined. And the “Seeking Common Ground While Shelving Differences” propagation rule in fractal network was presented. On this basis, a new S2I propagation model was proposed. From this model, communicators were divided into two states, I and OI. People in status I have a tendency to express support for a message. While those in state OI have a tendency to oppose it. The information propagation process and characteristics were analyzed further by using S2I model. Finally, the effectiveness of S2I model was verified by comparative experiments of simulation and real data analysis.
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