Research On Rumor Propagation Model In Scale-free Networks

Rumors arise among people,and most of the rumors are lack of objectivity but based on people's subjective impressions.In the past decade,rumors have caused some damage to people's lives and the economy.In order to reduce the harm of rumors in social networks,scientists conducted simulation studies on rumors through an analogy of infectious disease models.At present,the existing rumor propagation model considers the forgetting mechanism and memory mechanism and enriches the state types of nodes.However,the problem of administrators' control of rumors in social networks and the establishment of probability inequalities between people in social networks and the phenomenon of clustering are ignored.The main research work in this thesis is aimed at how to control the spread of rumors in complex networks.Th e specific results are:1)Firstly,by adding an administrator node with Unrelated state in the process of rumor propagation,a new rumor propagation model of SEIRS-U is proposed.This model enables the administrator node to suppress the nodes in other states in the process of rumor propagation to different degrees,thus controlling the spread of rumors.The theoretical threshold is used to verify the threshold of propagation,and the classification discusses the stability of the model.Finally,the comparative experiments show that the proposed model is more in line with the rumor propagation process in real life.2)Then,by changing the probability of connection of each node in the community structure,a scale-free network model of hybrid structure is proposed.The model divides the interior of the community into core and periphery areas,making the new network model more complex and more in line with real-world social networks.Through theoretical verification and experimental simulation,it is proved by theoretical verification and experimental simulation that the model has a complex network with characteristic quantities,which proves that the proposed model has certain research applicability.3)Finally,through the study of the scale of rumors in networks with different structures,the paper summarizes the influence of network structure on the spread of rumors,and proposes a method to control the spread of rumors.By increasing the heterogeneity of the network and increasing the control of third-party nodes in the network,it is possible to effectively control the spread of rumors in the network.