Interplay Between Disease And Awareness Spreading On Multiplex Networks

Throughout the development of human society,the epidemics have continuously been threatening the health of individuals.Thus,how to accurately model the epidemic spreading within the population and diffusion behavior of computer virus on the Internet,and even devise the effective prevention and containment strategies has become an important concern in the field of public health management and cyber-space security.In recent years,multi-layered network have been widely studied,in which the nodes characterizing the entities within each layer are identical,but the link relationship among nodes may be totally different.This kind of multiplexity also largely changes the epidemic-like social contagion within networks,furthermore,adopting the multiplex network as a platform for epidemic spreading is also a natural representation,since each individual may take on a role within different types of social relationships,including the family,co-worker and friendship ties,which may denote different layers of social networks.Due to the rapid development of mobile communication,the information related to the disease will quickly diffuse via social networks or online social networking population when an infectious disease emerges within a population.Thus,the coupled dynamics between the infectious disease and corresponding information need to further clarified when they compete to spread on different layers of the same population.We will build a new spreading model to investigate the interplay between the disease and awareness under the framework of multiplex networks.The main innovative works are illustrated as follows:1)In this paper we propose a coupled multiplex network framework to model the epidemic spreading and its corresponding information diffusion among a population.Upper layer is used for the virtual communication network for the information propagation related with epidemics,lower layer represents the physical contact network for the epidemic spreading.Although the mapping mode between nodes for these two networks is one to one,but the topology between two-layer networks is distinct.In the information communication layer,individuals can be divided into two classes,namely aware or unaware ones.In the lower layer,we adopt the SIR model as the basis of disease evolution,individuals can be categorized into three compartments: susceptible,infected and recovered.Combined upper layer and lower layer,each individual within this model can only have five potential states: aware and susceptible,aware and infective,aware and refractory,unaware and susceptible,unaware and refractory.We perform the theoretical analyses on the basis of microscopic Markov chain approach,carry out the extensive Monte Carlo numerical simulations to validate the theoretical predictions.2)In order to be more realistic,a kind of global information diffusion mechanism will be incorporated into the disease spreading model,which allows us to mimic the role of mass media in the information spreading mass media represents the reliable sources of information which can regularly transmit the disease-related into the whole population,especially they will play a crucial role when the warning about the epidemic outbreak can greatly impact the final evolution of the disease.Aiming at this,we add a single node linked to all nodes on the awareness layer,in which it will periodically send the information related with the disease to all agents all nodes have the chances to enter the aware state via two continuous processes as follows: one is the standard UAU process at each time step;the other one is the spontaneous process induced by the mass media provided that the nodes are still unaware after the prior process.At the same time we use the microscopic Markov chain method and Monte Carlo simulation to mimic the model and through a lot of experiments to study and analysis when join the mass media,the interaction between the dissemination of information diffusion and disease.