Research And Application Of Complex Network Evolution Model

With the development of science and technology and the deepening of research,complex systems in reality are constantly discovered,abstracting complex systems into complex networks,studying their topological properties and how to construct complex network evolution models in line with reality,this topic not only has certain theoretical significance,but also has important application value.From the perspectives of static and dynamic,this paper abstracts the digital trade systems,which have lots of resources flowing in the region of Belt and Road,into digital product trade networks.In order to analyze the structure and properties of the real complex digital trade systems.And also,this paper select a dynamic evolution model that conforms to the characters of the real network,and improve the weighted network evolution model in the way of evolution and connection to simulate and predict the formation and development of the real network.In order to express the dynamic process which conforms to the nature of the real complex digital trade system,based on the growth,dynamism and connection preference of the complex network,in addition to the connection from new nodes to original nodes,we add connections between the original nodes and delete the edges successively with a certain probability.In the process of selecting nodes to connect,the factors of distance and policy which in line with the real network are added and the relevant parameters given to the nodes are set to affect the connection preference.Finally,this paper simulates the formation of the real network and predicts the development of the real network in the next period.The first chapter is an instruction,which mainly introduces the background and significance of complex network.And it explains the current status of complex network theory,complex network evolution models and digital trade.The second chapter explains the characteristics of complex network and describes the statistical indicators of complex networks briefly.The third chapter deduces the quality of basic model about complex networks and refines the algorithm of complex network evolution models.Verifying the relevant propositions and properties of network feature indicators;describing the algorithm process of improving the evolution model and calculating the network degree distribution to verify the effectiveness of the model.The fourth chapter uses the trade data of digital product to build networks.And analyzes the static evolution and structural characteristics of digital products trade networks by calculating the degree of nodes,degree distribution,aggregation coefficient and path length.The fifth chapter improves and tests the weighted trade network dynamic evolution model in evolutionary and connection,after analyzing the structural characteristics of the Belt and Road Digital Product Trade Network.The formation and development of trade networks.Meanwhile,this chapter selects parameters which fit the real network to simulate the formation and development of the Belt and Road digital product trade network in 2020.The sixth chapter is a summary and it points out the shortcomings of this thesis.Through empirical testing,this paper find that the improved model is more suitable for simulating the formation of complex digital trade network effectively,by calculating the degree distribution characteristics of the predicted network and comparing with the properties of the random network.The structure of predicted network shows that the overall aggregation and connectivity of the network tend to be stable and the status of core nodes continues to strengthen,with the stability of the network scale.This is of certain practical significance for the future more extensive study of the digital trade situation of the Belt and Road and for China to enhance its influence position in the trade system.