Research On Infectious Diseases Dynamics Rumor Propagation Model Based On Complex Network

The spread of false information and rumors on Weibo via the Internet, will not only impede the network development process, but also bring about great impact on our social stability and development. Therefore, the specific model of the spread of rumors on the Internet is seen as a research of the pattern of contagious disease in social groups. Therefore, an effective prevention and control strategy in the field of Infectious disease transmission dynamics is designed which maintains profound application and theory significance.One of the main reasons people study social networks is that the spread of disease on society has the same propagation characteristics as the spread of rumors on the social networks, which means we can use the study of the phenomena that the spread of epidemics in the crowd rumor propagation in social networks to work out the propagation of the spread of rumor propagation phenomena in social networks. In this thesis, the reading process of opinions, virus, rumors on the complex social networks will be abstracted as the spread of contagious disease, and relevant researches are as follows:1. the users on the social internet in the process of spreading views have different characteristics and opinions, and these will be engaged in the process as well. Hence, on the basis of SIRS model, immersed user C and off-line user E are included, and the SICRS model and the SEIRS model,which are more appropriate to describe the online opinions as well as the rumors are put forward.2. the means of kinetic communication theory is used to help analyze, and differential equations and mathematical model as a tool for the dynamic behavior of complex networks were derived.3. a detailed research is conducted on the dynamic behaviors of the model in uniform networks with the help of Matlab and mean field theory. It is shown that in uniform networks, the transmission results are similar to the classical results, and infective medium increases the speed of rumor transmission. As for degree correlated networks, considering the limiting case, the transmission threshold tends to zero. The proposed model not only helps the researches on transmission and control of rumors on the internet, but also provides new ideas for effective immune strategies for spreading models with infective medium.