Research On The Public Opinion Communication Model And System Stability Of Coupled Social Network

The Internet has formed a highly mobile,highly accessible and highly concealed platform through which the public can express their views on certain events,thus forming a large network map.Due to these environmental characteristics,public opinion formed on the Internet is different from that formed in traditional media.Previous studies mostly focus on the latter,while in an increasingly developed network era,people with Internet users and realistic society double identity,at the same time,the Internet online social networking and offline social network spread two channels,traditional research cannot well explain new problems.Classic SIR model in this paper,we will expand the application in the field of public opinion spread,considering the double attribute and the dynamic characteristic of information transmission,put forward the double dynamic describing function on the network information transmission,and to build a more realistic information transmission model,research the relationship between the information dissemination dynamics parameters.In addition,considering the network system will eventually tend to a stable state,we construct the Lyapunov function,the use of the nature of the stable point,reach a steady state analysis system,layer between and within each member of the state property,strive to explore double dynamic evolution characteristics of the network system.The research content mainly includes the following aspects:(1)A public opinion communication model with a certain input rate of members is proposed.We according to the characteristics of the actual network,considering the network in real life is not a completely closed,as the change of time there is always some new members input,corresponding to the model is unknown person added to the information communication system,to participate in various states of transformation,this article assumes that new members in accordance with the sensitive information on existing proportion to join in the system.(2)The collaborative evolution model of online and offline two-layer public opinion communication network was established.To certain extent,the information transmission of online network will promote(or inhibit)the communication process of offline contact network,and the information transmission of offline contact network will also react to online communication network.Because there is mutual transfer between two layers of network,the transfer rate between layers will also affect the communication mode.In this paper,a collaborative evolution model of off-line and off-line network is constructed to simulate its dynamic evolution process and carry out numerical simulation.Study on the existence of Lyapunov function in two networks.In order to explore the final stable state of the system,the Lyapunov function is constructed in this paper.(3)Spread to validate the established model in a real network structure on the propagation law of Lenovo group,the author of this paper,using Weibo online social networking platform and developing trend of the Lenovo shares experiment,analysis of the online double network interactions.In this paper,the work to a certain extent,enrich and perfect the theory and method of the existing research results,a more realistic problem,help us more in-depth understanding,grasping and predict the formation and evolution direction of the certain information,analysis of steady state of the system,and achieve the ultimate control network,the purpose of carrying on the scientific decision-making for managers to provide thinking and decision-making,has important theoretical and realistic significance.