An Overview of Diffusion in Complex Networks

Dunia López-Pintado ()
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Dunia López-Pintado: CORE, Université catholique de Louvain

A chapter in Complex Networks and Dynamics, 2016, pp 27-48 from Springer

Abstract: Abstract We survey a series of theoretical contributions on diffusion in random networks. We start with a benchmark contagion process, referred in the epidemiology literature as the Susceptible-Infected-Susceptible model, which describes the spread of an infectious disease in a population. To make this model tractable, the interaction structure is considered as a heterogeneous sampling process characterized by the degree distribution. Within this framework, we distinguish between the case of unbiased-degree networks and biased-degree networks. We focus on the characterization of the diffusion threshold; that is, a condition on the primitives of the model that guarantees the spreading of the product to a significant fraction of the population, and its persistence. We also extend the analysis introducing a general diffusion model with features that are more appropriate for describing the diffusion of a new product, idea, behavior, etc.

Keywords: Degree distribution; Diffusion threshold; Endemic state; Homophily; Random networks; C73; L14; O31; O33 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-319-40803-3_2

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DOI: 10.1007/978-3-319-40803-3_2

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