Double-edged sword effect of edge overlap on asymmetrically interacting spreading dynamics

There is a close interplay between the disease spreading on contact network and corresponding information propagation on communication network. Especially, it will be of much interest when there are certain overlaps between the topological edges of communication network and contact network. In this paper, we study the effect of inter-layer edge overlap on the asymmetrically interacting spreading dynamics of disease and information, mainly including the final fraction of infected nodes and the epidemic threshold Though extensive simulations, we find that there is a so called double-edged sword effect on epidemic spreading and information propagation. Namely, when the disease spreads faster than information, a smaller amount of overlapping edges is able to effectively inhibit the epidemic spreading. On the contrary, when the information propagates more quickly than disease spreads, the more overlapping edges are, the better the epidemic spreading is suppressed. In further, we show that the epidemic threshold is improved when the overlapping edges increase. These results can provide a significant guidance to make optimal strategies for suppressing epidemic spreading.

[1]  Ming Tang,et al.  Suppressing epidemic spreading in multiplex networks with social-support , 2017, 1708.02507.

[2]  D. Zanette.  Dynamics of rumor propagation on small-world networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Jie Zhou,et al.  Influence of network structure on rumor propagation , 2007 .

[4]  Chi Xie,et al.  Tail dependence structure of the foreign exchange market: A network view , 2016, Expert Syst. Appl..

[5]  Lidia A. Braunstein,et al.  Optimal resource diffusion for suppressing disease spreading in multiplex networks , 2018, 1801.03632.

[6]  Ming Tang,et al.  Numerical identification of epidemic thresholds for susceptible-infected-recovered model on finite-size networks , 2015, Chaos.

[7]  Mason A. Porter,et al.  Multilayer networks , 2013, J. Complex Networks.

[8]  Chi Xie,et al.  Correlation Structure and Evolution of World Stock Markets: Evidence from Pearson and Partial Correlation-Based Networks , 2018 .

[9]  Ming Tang,et al.  Suppression of epidemic spreading in complex networks by local information based behavioral responses , 2014, Chaos.

[10]  Sergio Gómez,et al.  Competing spreading processes on multiplex networks: awareness and epidemics , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Chi Xie,et al.  Correlation structure and dynamics of international real estate securities markets: A network perspective , 2015 .

[12]  Xiaolong Chen,et al.  Hybrid resource allocation and its impact on the dynamics of disease spreading , 2019, Physica A: Statistical Mechanics and its Applications.

[13]  C. Scoglio,et al.  On the existence of a threshold for preventive behavioral responses to suppress epidemic spreading , 2012, Scientific Reports.

[14]  V. Jansen,et al.  Endemic disease, awareness, and local behavioural response. , 2010, Journal of theoretical biology.

[15]  Jung Yeol Kim,et al.  Coevolution and correlated multiplexity in multiplex networks , 2013, Physical review letters.

[16]  Zhongyuan Ruan,et al.  Epidemic spreading with information-driven vaccination. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Wen-Xu Wang,et al.  Effects of human dynamics on epidemic spreading in Côte d’Ivoire , 2016, 1605.00899.

[18]  Zhen Wang,et al.  How human location-specific contact patterns impact spatial transmission between populations? , 2013, Scientific Reports.

[19]  Jari Saramäki,et al.  Temporal Networks , 2011, Encyclopedia of Social Network Analysis and Mining.

[20]  Thilo Gross,et al.  Epidemic dynamics on an adaptive network. , 2005, Physical review letters.

[21]  Vito Latora,et al.  Structural reducibility of multilayer networks , 2015, Nature Communications.

[22]  C. Yang,et al.  Crossover phenomena of percolation transition in evolution networks with hybrid attachment , 2016, Chaos.

[23]  Conrado J. Pérez Vicente,et al.  Diffusion dynamics on multiplex networks , 2012, Physical review letters.

[24]  Z. Wang,et al.  The structure and dynamics of multilayer networks , 2014, Physics Reports.

[25]  Sergio Gómez,et al.  On the dynamical interplay between awareness and epidemic spreading in multiplex networks , 2013, Physical review letters.

[26]  Bertrand M. Roehner,et al.  Effect of population density on epidemics , 2018, Physica A: Statistical Mechanics and its Applications.

[27]  Ming Tang,et al.  Asymmetrically interacting spreading dynamics on complex layered networks , 2014, Scientific Reports.

[28]  Mason A. Porter,et al.  Author Correction: The physics of spreading processes in multilayer networks , 2016, 1604.02021.

[29]  Michael Small,et al.  The impact of awareness on epidemic spreading in networks , 2012, Chaos.

[30]  C. Watkins,et al.  The spread of awareness and its impact on epidemic outbreaks , 2009, Proceedings of the National Academy of Sciences.

[31]  Alessandro Vespignani,et al.  Epidemic spreading in scale-free networks. , 2000, Physical review letters.

[32]  Heiko Rieger,et al.  Random walks on complex networks. , 2004, Physical review letters.

[33]  Ginestra Bianconi,et al.  Percolation in multiplex networks with overlap. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  Jiang Zhang,et al.  Simple spatial scaling rules behind complex cities , 2017, Nature Communications.

[35]  Sebastian Funk,et al.  Interacting epidemics on overlay networks. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[36]  A. Arenas,et al.  Mathematical Formulation of Multilayer Networks , 2013, 1307.4977.

[37]  V. Jansen,et al.  Modelling the influence of human behaviour on the spread of infectious diseases: a review , 2010, Journal of The Royal Society Interface.

[38]  R. Pastor-Satorras,et al.  Generation of uncorrelated random scale-free networks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[39]  Nong Ye,et al.  Propagation and immunization of infection on general networks with both homogeneous and heterogeneous components. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.