Research On Rumor Propagation Dynamics And Control In Social Networks

As a virtual social circle widely used by netizens under the Web2.0 system,social network is inundated with a large number of unverified rumors.These false information spread rapidly,greatly damaging the harmony and stability of the society.Rumor propagation dynamics can deeply and comprehensively study the spread mechanism of network rumors,explore the influence of various factors on rumor diffusion,and then propose more efficient and feasible rumor governance strategies to maintain a good social network environment.Bifurcation theory has always been an important theoretical tool for the study of nonlinear systems,but it is rarely used in the field of network rumor propagation.In fact,the study on the stability of rumor propagation on the Internet and Hopf bifurcation phenomenon is of great significance for mastering the law of rumor propagation.Based on previous achievements,this paper establishes a rumor propagation model in social networks,and studies its dynamic characteristics and control problems.Specific work is as follows:1.A network rumor propagation model with fermentation time delay is proposed,and fractional derivative is introduced to study the local stability of the model at the equilibrium point and the conditions for Hopf bifurcation are given,and the influence of the order of fractional derivative on the dynamic characteristics of the model is discussed.2.Establish a network rumor propagation model with multiple transmission channels,and add mixed control based on proportional control and state feedback control to study the influence of channel parameters and control parameters on Hopf bifurcation conditions of the model.Numerical simulation shows that the hybrid control strategy can effectively adjust the time of Hopf occurrence.3.Considering the time delay of fermentation period,spatial diffusion term and saturated rumor rejection function,the space-time propagation model of network rumors is established,and the conditions of Turing instability induced by diffusion are given,the conditions of Hopf bifurcation generated by a model containing diffusion term are studied,and the influence of population density saturation on the rumor propagation process is discussed.