Departamento de Ciências Exatas e Aplicadas, Universidade Federal de Ouro Preto, 35931-008 João Monlevade, Brazil.
Department of Physics & I3N, University of Aveiro, 3810-193 Aveiro, Portugal.
Phys Rev E. 2016 Dec;94(6-1):062305. doi: 10.1103/PhysRevE.94.062305. Epub 2016 Dec 12.
We describe the phenomenon of localization in the epidemic susceptible-infective-susceptible model on highly heterogeneous networks in which strongly connected nodes (hubs) play the role of centers of localization. We find that in this model the localized states below the epidemic threshold are metastable. The longevity and scale of the metastable outbreaks do not show a sharp localization transition; instead there is a smooth crossover from localized to delocalized states as we approach the epidemic threshold from below. Analyzing these long-lasting local outbreaks for a random regular graph with a hub, we show how this localization can be detected from the shape of the distribution of the number of infective nodes.
我们描述了在高度异质网络上的传染病易感性感染易感性易感性模型中的本地化现象，其中强连接节点（集线器）充当本地化中心。我们发现，在这个模型中，传染病阈值以下的局部状态是亚稳态的。亚稳态爆发的持久性和规模没有显示出明显的本地化转变；相反，当我们从下方接近传染病阈值时，从局部状态到非局部状态的平滑交叉。对于具有集线器的随机正则图分析这些持久的局部爆发，我们展示了如何从感染节点数量分布的形状检测这种本地化。
