Dynamical Interplay between Awareness and Epidemic Spreading in Multiplex Networks

Dynamical Interplay between Awareness and Epidemic Spreading in Multiplex Networks
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DOI:
10.1103/physrevlett.111.128701
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发表时间:
2013-09-17
影响因子:
8.6
通讯作者:
Arenas, Alex
Arenas, Alex
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Granell, Clara;Gomez, Sergio;Arenas, Alex

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我们对多重网络上的两个过程之间的相互关系进行了分析,这两个过程分别是导致传染病传播的过程以及预防感染的信息知晓过程。这种情形代表了一种传染病过程在持久的真实接触网络上传播,以及一种周期性的信息知晓过程在相同个体之间的虚拟社交接触网络中扩散。其拓扑结构对应于一个多重网络,其中两个扩散过程相互作用、相互影响。使用微观马尔可夫链方法进行的分析揭示了传染病发病率的相图,并使我们能够根据多重网络的拓扑结构以及与知晓过程的相互关系来捕捉传染病阈值的演变。有趣的是,传染病发病的临界点有一个由知晓动态和虚拟网络拓扑结构所定义的临界值(亚临界点),从该点起,发病增加且传染病发病率降低。
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.