Interplay of network dynamics and heterogeneity of ties on spreading dynamics
Luca Ferreri1, Paolo Bajardi1, Mario Giacobini2
1GECO-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.
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.
Related Concept Videos
Relationship Formation
Dynamic Equilibrium
Theories of Dissolution: Diffusion Layer Model
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
Entropy Changes Accompanying Specific Processes
Factors Influencing Attraction I: Proximity
Interactions Between Signaling Pathways
Convergence and divergence, and cross-talk between signaling pathways
Two distinct signaling pathways can converge on a single functional unit, which may either be a single protein or a complex of proteins. The response is either functionally distinct or synergistic between the two pathways but different from the response...


