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Collective versus hub activation of epidemic phases on networks
Ferreira, Silvio C.; Salvador, Renan; Pastor Satorras, Romualdo
Universitat Politècnica de Catalunya. Departament de Física; Universitat Politècnica de Catalunya. SIMCON - Grup de Recerca de Simulació per Ordinador en Matèria Condensada
We consider a general criterion to discern the nature of the threshold in epidemic models on scale-free (SF) networks. Comparing the epidemic lifespan of the nodes with largest degrees with the infection time between them, we propose a general dual scenario, in which the epidemic transition is either ruled by a hub activation process, leading to a null threshold in the thermodynamic limit, or given by a collective activation process, corresponding to a standard phase transition with a finite threshold. We validate the proposed criterion applying it to different epidemic models, with waning immunity or heterogeneous infection rates in both synthetic and real SF networks. In particular, a waning immunity, irrespective of its strength, leads to collective activation with finite threshold in scale-free networks with large degree exponent, at odds with canonical theoretical approaches.
Àrees temàtiques de la UPC::Física
Random graphs
Complex networks and dynamic systems
Scale-free networks
Complex networks
Random graphs
Sistemes dinàmics aleatoris

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