Epidemic Spreading Model And Control On Multiplex Network Considering Information Diffusion

With the continuous development of science and technology,the popularization of various communication tools has made the individuals' connection closer,which in turn has a significant impact on the spread of epidemics in social network.When epidemics spread among people,some of the information and awareness that accompanies the epidemic will also spread in social networks,affecting individuals' defenses strategies.With deep knowing about epidemic-related information,individuals may reduce the probability of being infected by taking measures such as frequent hand washing and vaccination.In turn,individuals who are infected by epidemics further promote their own awareness to epidemic-related information and actively spread it across social networks.Therefore,in a multiplex network with epidemic spreading and information diffusion,richer dynamics are presented than in a single-layer network.This thesis studies the inhibitory effect of the spread of information and consciousness on epidemics on multiplex networks by introducing different preventive behaviors and states for awareness individuals,which are encouraged to avoid contact with infected individuals.This thesis also studies a way to identify important nodes in this multiplex network.The main contents and contributions of this thesis are as follows:(1)Considering that individuals will be alertness after understanding epidemic-related information and take measures in the physical contact network to avoid being infected by epidemics,a multiplex network propagation model with the interaction of epidemic spreading and information diffusion based on individual alertness is proposed.With the introduction of alertness,alert individuals can choose one of two behavioral strategies,interacting only with alertness neighbors or only with non-alertness neighbors.The simulation results show that both alert behavior strategies can help suppress the spread of the epidemic in the physical contact network and improve the epidemic threshold.(2)When the epidemic-related information spreads on social networks,it can also cause individuals' adaptive contact behaviors in physical contact networks,that is,susceptible individuals with epidemic-related awareness will tend to avoid contact with infected neighbors.After cutting off the connection with an infected neighbor,a susceptible individual will re-establish a connection with a random chosen susceptible individual.By introducing this adaptive strategy into multiplex network,information and awareness can be effectively used to suppress the spread of epidemics.The simulation results show that with greater adaptive cutting-edge probability,the scale of the epidemic spreading on the physical contact network will be smaller,and the epidemic outbreak threshold will be higher.Therefore,adaptive strategies can effectively suppress the spread of epidemics in physical contact networks.(3)As one of the most effective means to control epidemics spreading,the discovery and protection of important nodes have always been a hotspot in the research of complex network.In this thesis,a method to calculate the importance of nodes for the multiplex networks with semi-inhibition relationship between epidemic spread and information diffusion is proposed.By selecting different centrality indicators and bringing into the node importance calculation function,a relatively stable ranking of node importance can be obtained.Through the simulation on the network data,it is confirmed that the obtained important nodes have a greater influence on the spread of epidemics.