Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain.
Phys Rev Lett. 2013 Sep 20;111(12):128701. doi: 10.1103/PhysRevLett.111.128701. Epub 2013 Sep 17.
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.
我们提出了在多重网络上分析两个过程之间的相互关系的方法，这两个过程分别是导致传染病传播的过程和预防传染病感染的信息意识。这种情况代表了在持久的真实接触网络上传播的传染病过程，以及在同一人群的虚拟社交接触网络中传播的循环信息意识过程。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并相互影响。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和与意识过程的相互关系来捕捉传染病阈值的演变。有趣的是，传染病发作的临界点（超临界点）由意识动态和虚拟网络的拓扑结构定义，从该临界点开始，传染病的发病率增加，而传染病的发生率下降。
