Research On Rumor Spreading Model In Complex Network

The infectious disease model has received extensive attention in the propagation dynamics because of its intuitive differential expression,which has far-reaching significance for disease control and treatment.In recent years,more and more researchers have combined the complex networks with the original infectious disease model to study its complexity with the development and improvement of complex networks.In social life,rumors,as an important form of social topic,plays an important role in people's lives.The spread of rumors has a role in social stability and the operation of the national economy.Considering the similarity between the rumor propagation model and the infectious disease model,we study the dynamic rumor diffusion model based on the SIR infectious disease model in this paper.Unlike previous studies,we create and study rumors on complex networks.The dissemination model and the various factors that influence the spread of rumors are mainly from the following aspects:First of all,We comprehensively considered the active state of the spreader and the random noise interference on the complex network,and a dynamic I2 SR model based on rumor propagation with random noise interference is presented.We consider the activity of the spreader node,and divide the communicator into high probability spreader and low probability spreader,Under certain conditions,the two can be transformed.The dynamic changes of I2 SR stochastic differential equation system under different noise intensity are analyzed.Through the data simulation we find that the greater the probability that the spreader from the ignorant to the active state is larger,the spreader can reach the greater peak in a shorter time,and the high probability spreader not only pay more attention to the rumor but also easier spread rumors;spreaders have a negative correlation between the peak and the diffusion range and the noise intensity.Secondly,through further research on the rumor propagation network,We find that rumors are non-linearly propagated in the process of propagation,and there may be a phenomenon of lag.The length of the immune lag period may have a certain impact on rumor propagation.Therefore,we consider the SI2 R rumor propagation model after adding time-delay and nonlinear incidence on the basis of the original model.Through data simulation,we found that prolonging the immune lag period can effectively control the spreading of rumors.