| With the continuous development of computer and Internet technology,online social media such as micro blogs and Douyin(Tik Tok)have been booming.This also helps speeding up the spread of rumors.The spread of rumors has a great impact on social order and people’s lives.Therefore,it is of great practical significance to study the internal mechanism and law of rumor propagation with the influence of media and reduce the harm of rumor taken into serious consideration.This thesis considers three factors that affect the spread of rumors: the effect of media coverage,the number of rumors in the media,and the factors of dispelling rumors.Three rumor propagation models are established,and they are analyzed and discussed.In chapter 2,the number of rumors in the media is regarded as a subclass that changes with time.Considering the media coverage effect and the influence of the number of rumors in the media on the spread of rumors,we have established the corresponding differential equation model.According to the communication model,two reasonable control variables are selected: intensity of science education and severity of penalties.The research results show that positive media coverage can reduce the spread of rumors,but can not completely prevent the spread of rumors.With the parameters provided in this thesis,the optimal control parameters satisfying the constraint conditions can be calculated through quantitative analysis.In chapter 3,considering the influence of the role of rumor maker on the rumor spreading process,we set up a rumor spreading model that comprehensively considers the media coverage effect,the number of rumors in the media and the influence of rumor maker is established.The existence and local asymptotic stability of the equilibrium point of the model are proved by calculation.The results show that in the process of spreading,increasing active publicity and reporting can more effectively reduce the scope of rumor spread,and that increasing the initial value of refuters can also reduce the duration of rumor spread,which is conducive to controlling the spread of rumors.Considering the important influence of rumor dispelling media on the communication process in chapter 4,we have set up a two-layer network rumor propagation model,which comprehensively considers the influence of media rumor dispelling and individual rumor dispelling.According to the two-layer network model,three reasonable control variables are selected: the intensity of science education,the intensity of post deletion,and the severity of penalties.The research results show that in the process of spreading rumor refutation information,the authoritative media has a greater impact on the rumor propagation process and a wider range of influence than the individual dissemination of rumor refutation information.The summary is given in chapter 5. |
