Research On Information Spreading In Typical Complex Multi-layer Social Networks

The modeling and analysis of disease and information spreading dynamics in complex networks is one of the frontier problems in network science.With the sudden outbreak of COVID-19,research on the spread and transmission mechanism of disease in complex social network has once again become a hot topic for researchers in various fields.Focusing on this hot issue,with the aid of the dynamic modeling and analysis methods of the propagation process,and the numerical simulation modeling method of the spreading and diffusion processes on single-layer and multi-layer networks,the following major issues are expanded and studied.Firstly,according to the current situation of social relations in primary schools in typical teaching areas in China,a multi-layer network mathematical model was constructed to describe the process of disease spreading and prevention and control in primary teaching areas.By setting the parameters,the network model has the characteristics of close intra-layer connection and diverse inter-layer connections,which can more closely reflect the real structural characteristics of this kind of special interpersonal network.On this basis,by changing the structural characteristics of the intra-layer network community（taking into account the differences in the interpersonal network structure of the junior and senior grades of a single class）,the simulation of the spread of respiratory infectious diseases was carried out.In particular,in order to better explore the impact of wearing masks and individual daily monitoring on the prevention and control of such infectious diseases,the numerical experiments in this paper have added strategies such as random wearing of masks by individuals and adding mobile teachers infected nodes.The large-scale numerical simulation research has obtained the qualitative and quantitative research results of the influence of some relevant factors on the spread of respiratory infectious diseases.Secondly,in real life,considering that the spread and prevention of such infectious diseases are usually accompanied by the spread of related disease popularization and prevention and control awareness propaganda information,in order to prove that the spread of effective prevention and control awareness information inhibits the spread of such epidemics.This paper further builds an online information spreading network and an offline student social relationship contact network,and couples the two to form a typical dual network dissemination model.Based on the typical UAU-SEIR model,a numerical simulation research was carried out on the spread process of disease prevention and control awareness.Finally,according to the inhibitory effect of information diffusion on disease spreading found in Chapter 4,this paper further studies the modeling and analysis of the spreading process of disease prevention and control awareness in Chapter 5.In this part,this paper divides the ways that primary school students get access to information on epidemic prevention and control into three channels: online friend We Chat communication,online office-class group communication,and offline face-to-face communication,creating a typical three-layer coupling network with In order to describe the real interpersonal communication network.On this basis,this paper uses the classic SIR information diffusion model to analyze the dynamic process of disease prevention and control awareness in this multiple network structure and simulate the specific process of disease prevention and control awareness transmission.In particular,this paper uses the regeneration matrix method to give a precise theoretical analysis of the basic regeneration number of the information propagation process generated in the model.At the same time,the coverage level and scope of prevention and control awareness in the three-layer network are simulated by setting different communication times and initial infection node ratio in different network layers.