| Infectious diseases have always threatened human life and health.The qualitative and quantitative theoretical research of infectious diseases helps to understand the development process,changing trends and influencing factors of infectious diseases,and provides a theoretical basis for the prevention and control of diseases.After entering the 21st century,with the continuous development of informatization,information dissemination and epidemic spreading are closely linked.When a disease outbreak occurs,disease-related information spreads rapidly through the population,and individuals who learn about the information take appropriate measures to reduce their risk of being infected,thereby affecting the spread of the disease.Therefore,information dissemination and epidemic spreading are closely related and interact with each other.In recent years,with the proposal and continuous development of multiplex networks theory,the study of the dynamic interaction between information dissemination and epidemic spreading in multiplex networks has attracted widespread attention from scholars.In this paper,we further investigate the coupling dynamics of information dissemination and epidemic spreading on multiplex networks from the aspects of static networks and dynamic networks.On the one hand,considering the important influence of mass media and asymptomatic infected people in the process of information dissemination and epidemic spreading,this paper comprehensively considers these two factors to study the dynamic interaction between information dissemination and epidemic spreading on multiplex networks.Firstly,taking the two-layer multiplex networks as the basic model framework,this paper introduces the mass media into the multiplex networks and establishes a new UAU-SEIR model.In the model,E-state individuals denote asymptomatic infections,and a single node connecting to all individuals denotes the mass media.Secondly,the Microscopic Markovian Chain Approach is used for theoretical analysis,and the expression of propagation threshold is obtained.Through extensive Monte Carlo numerical simulation,we verify the accuracy of the theoretical analysis.Finally,we analyze the effects of the main model parameters on the epidemic spreading scale and transmission threshold.The results show that speeding up the information dissemination between individuals and the mass media,reducing the proportion of asymptomatic infected persons and enhancing individual self-awareness can effectively inhibit the epidemic spreading and raise the epidemic threshold.On the other hand,considering that the network structure of information dissemination and epidemic spreading will change dynamically under the influence of social consciousness,this paper further investigates the impact of social consciousness based dynamic network on epidemic spreading.Firstly,this paper analyzes the dynamic changes of virtual communication layer network and physical contact layer network under the influence of social consciousness.Secondly,on the basis of the work of Chapter 2,this paper constructs three dynamic networks:random edge adding of virtual communication layer network,random edge breaking of physical contact layer network and isolation of symptomatic infected individuals,and carries out four groups of experiments.Finally,by comparing the transmission results of static network and dynamic network,this paper analyzes the impact of dynamic network on epidemic spreading under three conditions.The results show that the three dynamic networks under the influence of social consciousness can effectively inhibit the epidemic spreading,and the inhibitory effect of dynamic networks under the joint action of the three cases is more obvious.At the same time,it is found that the inhibition effect of dynamic network caused by isolation of symptomatic infected individuals on epidemic spreading is significantly better than that in the other two cases. |
