Research On Rumor Spreading Model And Control Strategies In Complex Networks

The development and popularity of the information technology promote the breeding and spreading of rumors, which is horribly posing threats to the stability of the society. This dissertation investigates the rumor spreading dynamics in complex networks and discusses the control strategies to hamper the rumor spreading.1. The spreading laws of a rumor spreading model with consideration of the forgetting and remembering mechanisms in inhomogeneous networks are investigated, and the effects that the network structure has on the rumor spreading are presented.A rumor spreading model with consideration of the forgetting and remembering mechanisms is introduced into inhomogeneous networks, the mean-field equations are derived, and the steady state analysis is conducted to find that this rumor spreading model has no spreading threshold in inhomogeneous networks. Results from numerical simulations are concluded as follows:The network structure has impacts on the rumor spreading process, compared with homogeneous networks, the rumor spreads faster, dies later and gets a smaller final size in inhomogeneous networks; The forgetting and remembering mechanisms have important effects on the final rumor size, the bigger forgetting rate results in a smaller final rumor size while the bigger remembering rate leads to a larger final rumor size.2. A rumor spreading model integrated with time-dependent diffusion parameters is developed, and comparisons of effects from variable and constant diffusion parameters on the rumor spreading are investigated.The interfere of authorities and the feature of man’s forgetting nature bring time-dependent characteristics to the diffusion parameters (the rumor spreading, stifling and forgetting rates). These three variable diffusion parameters are integrated into a classical rumor spreading model, mean-field equations are derived, and the spreading threshold behaviors are analyzed through steady state analysis. Results from numerical simulations are concluded as follows:The higher hiberarchy of the network structure results in a faster and longer spreading but a smaller expansion of the rumor; Compared with the constant diffusion parameters, both the time-dependent spreading rate and forgetting rate lead to a faster and wider spreading, while the time-dependent stifling rate makes the rumor spread slower but wider.3. A rumor spreading model with truth-tellers is developed, and the role that truth-tellers play on the rumor spreading is investigated.With consideration of the refuting role that the truth-tellers play by spreading true information, a rumor spreading model integrated with this refuting mechanism is developed in homogeneous networks, mean-field equations are derived, and stability analysis is conducted. Results from numerical simulations are concluded as follows:Truth-tellers hinder the spreading pace and the expansion of the rumor and diminish the influence of the rumor; Generally, the final rumor size is larger in regular networks than that in BA scale-free network except that when the truth spreading rate is relatively high, the comparison in the final rumor size displays a contrary result in two networks.4. A rumor spreading model with consideration of different refuting modes is developed, and the effects of these refuting modes on the rumor spreading are analyzed.Taking into account of the roles that the realistic refuting modes play in social networking platforms, such as the professional refuting account, the reporting of the rumor, the system notification and so on, a rumor spreading model with consideration of these refuting modes is developed in homogeneous networks, mean-field equations are derived, and stability analysis is conducted. Results from numerical simulations are concluded as follows:Compared with professional rumor refuting accounts sparing more efforts on persuading rumor spreaders ceasing the rumor spreading, their propagating more scientific knowledge to ignorant people is more effective in hampering the rumor spreading; The possibility that users with judgement of the rumor report the rumor, the extent that these users are devoted to refuting the rumor and the fraction that they account for matter to the rumor refuting results; The faster system notification action brings more effective rumor refuting results.