Contagion dynamics on adaptive multiplex networks with awareness-dependent rewiring
Xiao-Long Peng(彭小龙)1,2,† and Yi-Dan Zhang(张译丹)1,2,3
1 Complex Systems Research Center, Shanxi University, Taiyuan 030006, China; 2 Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Shanxi University, Taiyuan 030006, China; 3 School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China
Abstract Over the last few years, the interplay between contagion dynamics of social influences (e.g., human awareness, risk perception, and information dissemination) and biological infections has been extensively investigated within the framework of multiplex networks. The vast majority of existing multiplex network spreading models typically resort to heterogeneous mean-field approximation and microscopic Markov chain approaches. Such approaches usually manifest richer dynamical properties on multiplex networks than those on simplex networks; however, they fall short of a subtle analysis of the variations in connections between nodes of the network and fail to account for the adaptive behavioral changes among individuals in response to epidemic outbreaks. To transcend these limitations, in this paper we develop a highly integrated effective degree approach to modeling epidemic and awareness spreading processes on multiplex networks coupled with awareness-dependent adaptive rewiring. This approach keeps track of the number of nearest neighbors in each state of an individual; consequently, it allows for the integration of changes in local contacts into the multiplex network model. We derive a formula for the threshold condition of contagion outbreak. Also, we provide a lower bound for the threshold parameter to indicate the effect of adaptive rewiring. The threshold analysis is confirmed by extensive simulations. Our results show that awareness-dependent link rewiring plays an important role in enhancing the transmission threshold as well as lowering the epidemic prevalence. Moreover, it is revealed that intensified awareness diffusion in conjunction with enhanced link rewiring makes a greater contribution to disease prevention and control. In addition, the critical phenomenon is observed in the dependence of the epidemic threshold on the awareness diffusion rate, supporting the metacritical point previously reported in literature. This work may shed light on understanding of the interplay between epidemic dynamics and social contagion on adaptive networks.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11601294 and 61873154), Shanxi Scholarship Council of China (Grant No. 2016-011), the Shanxi Province Science Foundation for Youths (Grant Nos. 201601D021012, 201801D221011, 201901D211159, 201801D221007 and 201801D221003), and the 1331 Engineering Project of Shanxi Province, China.
Xiao-Long Peng(彭小龙) and Yi-Dan Zhang(张译丹) Contagion dynamics on adaptive multiplex networks with awareness-dependent rewiring 2021 Chin. Phys. B 30 058901
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