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An Overview of Diffusion in Complex Networks

In: Complex Networks and Dynamics

Author

Listed:
  • Dunia López-Pintado

    (CORE, Université catholique de Louvain
    Universidad Pablo de Olavide)

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.

Suggested Citation

  • Dunia López-Pintado, 2016. "An Overview of Diffusion in Complex Networks," Lecture Notes in Economics and Mathematical Systems, in: Pasquale Commendatore & Mariano Matilla-García & Luis M. Varela & Jose S. Cánovas (ed.), Complex Networks and Dynamics, pages 27-48, Springer.
    • Handle: RePEc:spr:lnechp:978-3-319-40803-3_2
    DOI: 10.1007/978-3-319-40803-3_2
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