The Interaction Between Disease And Awareness In The Multiplex Networks

The spread of disease on single-layer network has been widely studied.However,many real networks exhibit multi-layer structure,with different layers reflecting the functions of individuals in different environments.Such a network with a multi-layer structure is usually called multiplex network,in which each layer has a different topology.At the same time,it is noted that in the disease spreading process,the disease-related information will also diffuse through social networks.Based on this,we investigated the interaction between disease spreading and disease-related awareness diffusion in the multiplex networks.The specific contents and innovations are summarized as follows:(1)The allocation of public resources between disease treatment and awareness diffusion in multiplex networks are studied.During the prevention and control of epidemics,both disease-related awareness diffusion and disease treatment require resources investment,so it is crucial to investigate the investment and allocation strategy of resources.Here,we propose an epidemiological model in the two-layer multiplex networks to study the interplay between disease and awareness under resource control.In this model,a part of the resources is used for disease treatment,and the other is used to facilitate the diffusion of awareness,with an adjustable parameter setting to allocate the resources.First,we establish the evolutionary equations for different states and obtain the epidemic threshold of disease based on the microscopic Markov chain approach.Then,we conduct numerical simulations and find that stronger heterogeneity of the two-layer networks results in smaller epidemic threshold.Intriguingly,we find that there are optimal allocation coefficients in different multiplex networks structures and sizes.Finally,we find that the optimal allocation coefficient decreases with the increase of the immune degree.(2)The influence of multi-body interaction in the time-varying multiplex networks are studied.Multi-body interaction can reveal higher-order dynamics that are not captured by the traditional two-body networks models.Based on this,we proposes a more realistic epidemiological model in the multiplex networks.In this model,the physical layer is a time-varying network constructed by activity driven model,while the virtual layer is constructed by random simplicial complexes model.First,using an improved microscopic Markov chain approach,the epidemic threshold of disease is obtained.Then,we conduct a large number of numerical simulations and find that the increase of edges created by activated individuals will promote disease spreading process,and the stronger heterogeneity of the activity distribution will also promote disease spreading process.Specially,When considering the multi-body interaction in the awareness diffusion process,our research shows that the stronger multi-body interaction results in greater epidemic threshold.Finally,it is find that there is also a critical value in the awareness diffusion rate,and when the critical value is low,the epidemic threshold does not depend on the awareness diffusion rate.