多路复用
拓扑(电路)
统计物理学
计算机科学
马尔可夫链
过程(计算)
网络拓扑
相图
流行病模型
马尔可夫过程
临界点(数学)
物理
计算机网络
生物
数学
相(物质)
生物信息学
统计
医学
机器学习
数学分析
组合数学
操作系统
环境卫生
量子力学
人口
作者
Clara Granell,Sergio Gómez,Àlex Arenas
标识
DOI:10.1103/physrevlett.111.128701
摘要
We present the analysis of the interrelation between two processes accounting for the spreading of an epidemic, and the information awareness to prevent its infection, on top of multiplex networks. This scenario is representative of an epidemic process spreading on a network of persistent real contacts, and a cyclic information awareness process diffusing in the network of virtual social contacts between the same individuals. The topology corresponds to a multiplex network where two diffusive processes are interacting affecting each other. The analysis using a microscopic Markov chain approach reveals the phase diagram of the incidence of the epidemics and allows us to capture the evolution of the epidemic threshold depending on the topological structure of the multiplex and the interrelation with the awareness process. Interestingly, the critical point for the onset of the epidemics has a critical value (metacritical point) defined by the awareness dynamics and the topology of the virtual network, from which the onset increases and the epidemics incidence decreases.
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