Study On Network Rumor Propagation Considering Social Effects

With the development of communication technology,social network has become the main carrier of information transmission.Social network has the characteristics of fast transmission speed,wide coverage,strong connectivity and convenient trans-mission mode.More and more people tend to obtain information through social network.WeChat,weibo,QQ and many other network platforms have become important places for people to release information and exchange ideasFirstly,the characteristics and research status of rumor propagation are sum-marized.The social network population is divided into four categories:the unknown(S).the hesitant(H).the disseminator(I)and the immune(R).According to the state transfer rule,the SHIR rumor propagation model is established and the corre-sponding dynamic equations are given.The theoretical evolution curves of the SHIR model were obtained by using the iterative method,and the changes of the initial transmitter density I0,the initial transmitter density p2.and the forgetting rate garnmawere discussed,respectively,when the rumor propagation tended to be sta-ble.With the increase of the initial transmitter density I0,the peak value of rumor propagation gradually increased,and the time to reach the peak value gradually decreased.When the rumor propagation tends to be stable,the density of the immu-nizers tends to 1.With the increase of the initial transmission rate of p2,the density of the immunizer increased monotonously.With the increase of the forgetting rate of ?,the peak of the rumor propagator decreased,but the time to reach the peak gradually incroased.Again,consider the social effects(bandwagon effect,authority effect,broken window effect,responsibility dispersion effect)effect on the spread of rumors,through depicting the bandwagon effect,authority effect in the process of rumor spreading,broken window and responsibility dispersion effect,BA scale-free network analyses the rumor spread SHIR model curve,compare with:conformity effect and authority effect have accelerated the spread rumors.It was found that the broken window effect promoted rumor propagation,while the responsibility disper-sion effect inhibited rumor propagation.The optimal thresholds of the two effects were 0.07 and 0.08,respectively.Finally,the propagation process of rumor propagation in dynamic social net-works.On the one hand,discusses the model SHIR rumor spreading model no rumor balance(1,0,0,0)and internal balance E*=(I*,S*,H*,R*),according to the rule of Hurwitz get the terms of the stability of the equilibrium point.When p2<?+q.the rumor-free equilibrium point is locally asymptotically stable;When p2>?(?+1)p1,the internal equilibrium point is locallly asymptotically stable.On the other hand,the parameter values that meet the conditions are selected and the propagation curves of rumors in static network and dynamic network are simulated.The comparison shows that the overall trend is consistent.Although the rumor propagation curves of dynamic SHIR model have fluctuations,the parameters tend to the first equilibrium point of the system when they meet some conditions.