A Research Of Weibo Rumors Spread Problems Model Based On Epidemic Model

In the Internet age,the Internet makes our speech more free,however,provide a chance allows the rumors and slander behavior spawned.Especially the new social tools,the emergence of Weibo,makes Internet rumors become increasingly rampant.Based on epidemic model,SEIR model and SEPNR model have been proposed about Weibo rumors spread problems.And by constructing suitable Lyapunov function,analyze and demonstrate the stability of models.Firstly,we introduce the research's background,significance,the thesis' research work and main contribution.Relevant background knowledge be introduced,for example,the concept and spread characteristic of the online social network and Weibo network.Then we introduce several basic SIS,SIR epidemic models and common rumor spread models,such as DK model.Secondly,this thesis introduces related knowledge about algebraic system,puts forward a kind of Weibo rumor spread model of the SEIR,then using MATLAB software to simulate and analyze this model.The model includes susceptible(S),infected(E),infected(I)and removed(R).By constructing suitable Lyapunov function,analysis the global dynamic behavior of the model,and concluded the factor that the basic reproductive number determine the global stability.When R0<1 the disease-free equilibrium P0 Global asymptotic stability,the rumor is eliminated.When R0>1,the unique endemic equilibrium P*is globally asymptotically stable,then the rumors will exist in the endemic equilibrium and stability.Thirdly,discuss the problem further,according to the Weibo users have different attitudes to the rumors which influence of the spread rumors.In this section,we put forward Weibo SEPNR model which consider attitude and the attitude shift affect rumors spread is still analyze and demonstrate the stability of the model.Finally,we summarize the conclusion of the thesis.