title: Interplay of network dynamics and heterogeneity of ties on spreading dynamics.
abstract: The structure of a network dramatically affects the spreading phenomena unfolding upon it. The contact distribution of the nodes has long been recognized as the key ingredient in influencing the outbreak events. However, limited knowledge is currently available on the role of the weight of the edges on the persistence of a pathogen. At the same time, recent works showed a strong influence of temporal network dynamics on disease spreading. In this work we provide an analytical understanding, corroborated by numerical simulations, about the conditions for infected stable state in weighted networks. In particular, we reveal the role of heterogeneity of edge weights and of the dynamic assignment of weights on the ties in the network in driving the spread of the epidemic. In this context we show that when weights are dynamically assigned to ties in the network, a heterogeneous distribution is able to hamper the diffusion of the disease, contrary to what happens when weights are fixed in time.
authors.affiliation: GECO-Computational Epidemiology Group, Department of Veterinary Sciences, University of Torino, largo Braccini 2, IT-10095 Grugliasco (TO) and ARCS - Applied Research on Computational Complex Systems Group, Department of Computer Science, University of Torino, corso Svizzera 185, IT-10149 Torino.
authors.forename: Luca
authors.initials: L
authors.lastname: Ferreri
authors.affiliation: GECO-Computational Epidemiology Group, Department of Veterinary Sciences, University of Torino, largo Braccini 2, IT-10095 Grugliasco (TO) and ARCS - Applied Research on Computational Complex Systems Group, Department of Computer Science, University of Torino, corso Svizzera 185, IT-10149 Torino.
authors.forename: Paolo
authors.initials: P
authors.lastname: Bajardi
authors.affiliation: GECO-Computational Epidemiology Group, Department of Veterinary Sciences, University of Torino, largo Braccini 2, IT-10095 Grugliasco (TO) and ARCS - Applied Research on Computational Complex Systems Group, Department of Computer Science, University of Torino, corso Svizzera 185, IT-10149 Torino and CSU-Complex Systems Unit, Molecular Biotechnology Centre, University of Torino, via Nizza 52, IT-10126 Torino.
authors.forename: Mario
authors.initials: M
authors.lastname: Giacobini
authors.affiliation: Department of Mathematics "Giuseppe Peano", University of Torino, via Carlo Alberto 10, IT-10123 Torino.
authors.forename: Silvia
authors.initials: S
authors.lastname: Perazzo
authors.affiliation: Department of Mathematics "Giuseppe Peano", University of Torino, via Carlo Alberto 10, IT-10123 Torino.
authors.forename: Ezio
authors.initials: E
authors.lastname: Venturino
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology* / Q000635:transmission*; D003196:Computer Graphics; D058872:Epidemics; D006801:Humans; D008962:Models, Theoretical