Competing edge networks

Parsons, M. C. and Grindrod, P. (2012) Competing edge networks. Physics Letters A, 376 (32). pp. 2167-2173. ISSN 0375-9601 doi: 10.1016/j.physleta.2012.05.008

Abstract/Summary

We introduce a model for a pair of nonlinear evolving networks, defined over a common set of vertices, sub ject to edgewise competition. Each network may grow new edges spontaneously or through triad closure. Both networks inhibit the other’s growth and encourage the other’s demise. These nonlinear stochastic competition equations yield to a mean field analysis resulting in a nonlinear deterministic system. There may be multiple equilibria; and bifurcations of different types are shown to occur within a reduced parameter space. This situation models competitive peer-to-peer communication networks such as BlackBerry Messenger displacing SMS; or instant messaging displacing emails.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/26935
Item Type	Article
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics > Centre for the Mathematics of Human Behaviour (CMOHB)
Uncontrolled Keywords	Evolving networks, Edgewise competition, Mean field approximation, Bifurcation structure
Publisher	Elsevier
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