Interplay of epidemic spreading and strategy-mixed awareness diffusion on multiplex networks

Abstract

<jats:p> In this paper, the interplay of epidemic spreading and the strategy-mixed awareness diffusion within the framework of multiplex networks is studied. In the model, epidemics can spread through a physical-contact layer and the awareness can diffuse through a virtual-contact layer. Each node on physical-contact layer is randomly matched one-to-one with a node of virtual-contact layer, but the connectivity is distinct in each of them. In view of the complexity of human behaviors, we assume that the diffusion of awareness is ruled by two mixed contagion dynamics: a fraction [Formula: see text] of individuals adopt the herd-like dynamics and the others follow the epidemic-like dynamics. We analyze the epidemic threshold based on the microscopic Markov chain approach. Meanwhile, combing with the Monte Carlo (MC) simulations, we show that the strategy-mixed awareness diffusion mechanism can enrich the dynamics of epidemic spreading, including the crossover phenomenon of the final epidemic size, the two-stage effect of the local awareness rate, and so forth. </jats:p>

The impact of the global and local awareness diffusion on epidemic transmission considering the heterogeneity of individual influences

“…According to our proposed model, the N nodes in the multiplex model can be in the following states: unawareness-susceptible (US), awareness-susceptible (AS), awareness-infected (AI). For ease of analysis, we assume that both awareness diffusion and epidemic transmission are Markovian processes [ 7 , 9 , 11 , 14 , 15 , 17 , 18 , 22 , 24 – 26 , 30 ]. We assume that the probabilities that individual i being in the above three states at time t as , , .…”

The Impact of the Global and Local Awareness Diffusion on Epidemic Transmission Considering the Heterogeneity of Individual Influences

“…According to our proposed model, the nodes in the multiplex model can be in the following states: unawarenesssusceptible (US), awareness -susceptible (AS), awareness -infected (AI). For ease of analysis, we assume that both awareness diffusion and epidemic transmission are Markovian processes [7,9,11,14,15,17,18,22,[24][25][26][27]. We assume that the probabilities that individual being in the above three states at time as ( ), ( ), ( ).…”

“…To avoid being infected by a disease, human behaviors may change such as reducing outdoor activities, wearing masks, paying attention to disinfection and vaccination, etc [10][11][12][13]. Therefore, more and more researchers focus on the interaction between awareness diffusion and epidemic transmission [14][15][16][17]. Funk et al proposed a mathematical to model the interplay between epidemic and awareness [18].…”

Synchronizability of Multi-Layer-Coupled Star-Composed Networks

“…These networks are an important interdisciplinary research field that has attracted the interest of many scholars. In recent years, many new advances have been made in the research of complex networks, such as the spread and stability of complex networks [5,6], the synchronization and consensus of multi-layer complex networks [7][8][9][10][11][12][13][14][15], diffusion in multi-layer networks [16][17][18][19][20], and the modeling and robustness of multi-layer complex networks [21][22][23][24][25].…”