Research On Fitness Model Of Complex Network Based On Node Characteristics

Complex network is a method to research and describe complex systems,its related theories have been widely used in social economic management and other fields.For example,the cascade failure model is applied in urban transportation networks to prevent and process cities by reasonably distributing the road flow;The robustness theory of complex network is applied to the design of power grid,which makes the power grid more stable through reasonable arrangement of stations and capacity;The dynamics theory of complex network is applied in the field of information transmission on the Internet,by analyzing and predicting the propagation direction of rumors to control the propagation of rumors on the Internet;The epidemic transmission theory of complex network provides a solution for the prevention of infectious diseases in human society.Objectively,complex network theory provides a new way to deal with the complexity of social activities.But as a bridge between theory and practice of complex network model,there are still many problems.Existing models do not pay enough attention to the role of node characteristics in the process of network evolution,so that the model is far from the evolution characteristics of the actual network and cannot accurately reflect the characteristics of the actual network.Node characteristic refers to the abbreviation of the characteristics of the node itself in the process of network evolution.Through the analysis of the evolution process of the actual network,it is found that the node characteristics have an important impact on the actual network evolution process,and the node characteristics of different types of networks have different feature,and some node characteristics will change with the change of the network structure.Others do not change as the network structure change.The main results of the paper can be summarized as follows:(1)According to the changing characteristics of node characteristics,the actual network is divided into two categories: non-competitive network and competitive network.Two definitions of node characteristics are proposed: static fitness and dynamic fitness.According to the definition of static fitness and dynamic fitness,two new fitness models are proposed: static fitness model and dynamic fitness model.(2)Through numerical simulation,the change rule of the statistical characteristics of the static fitness model is obtained when the degree and fitness are in different proportions,and the rationality of the static fitness model is verified by an example analysis.(3)Through numerical simulation,the statistical characteristics of the dynamic fitness model are compared with BA model and other fitness models,and the advantages of the topological structure of the dynamic fitness model are verified.