Research On SIR Information Propagation Model Combined With Game Theory

With the advent of the Internet and self-media era,online social activities are becoming more and more frequent.Massive information exchange occurs in the process of online social and physical social interaction.This massive information exchange plays a positive and negative feedback role for social activities.Although the traditional communication model has achieved more systematic research results,the classic communication model is difficult to describe and analyze the communication process more accurately because it considers the authenticity of the information and the interaction between the node and the information.With further research and thinking,network information The authenticity of is becoming more and more important.People not only need to judge the authenticity of information,but also need to make a certain stress response to the processed information.Since there is still a certain gap between the traditional SIR information and the disease transmission model and the actual transmission process,it is very valuable to propose a communication model that meets the characteristics of real social communication.The content of this article includes the following two aspects:(1)Considering the uncertainty of the authenticity of information in society,by introducing game theory and social enhancement effects to accurately characterize the probability of information diffusion in the process of propagation,highlighting the individual differences of nodes in information propagation,considering the network from the perspective of the game The propagation probabilities of the nodes in different true and false messages are changed,combined with the incomplete information game to describe the propagation probability,the basic propagation probability is adjusted according to the social strengthening effect,and the SIR propagation model based on the incomplete information game is designed and studied.Small-world model,scale-free model and actual network data set are simulated,and simulation experiments are carried out from the aspects of network model type,network size and propagation probability.Experimental results show that the proposed communication model enriches the research technology of social network message transmission control and immunity,and the social strengthening effect has a better promotion effect.(2)To explore the interaction between epidemic prevention information on online social networks and disease spread on physical contact networks,and to reveal the inhibitory effect of epidemic prevention information on disease spread,a coupling propagation model based on game theory is proposed for multiple networks.Firstly,a hybrid strategy Nash equilibrium is used to model the individual node's propagation strategy decision,and the propagation probability is described.Considering the topological characteristics of multiple networks,a coupled propagation model is proposed.Second,the propagation dynamic differential equation of the proposed model is analyzed.Obtained the result that the epidemic prevention information can effectively suppress the spread of disease;finally,on the small world,scale-free and real data sets,for the different propagation delays of epidemic prevention information,the epidemic prevention information and the process of disease propagation were simulated and simulated.The classical propagation models of epidemic prevention information are compared,and the suppression effect of epidemic prevention information is analyzed.The results show that the epidemic prevention information on the social network and the disease transmission on the physical network have a certain interactive behavior,and the information transmission delay has a negative correlation with the disease suppression effect in the physical network,thus revealing that It has the inhibitory effect,the lower the delay of information transmission,the more obvious the effect of inhibiting the spread of disease".