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Competing edge networks

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Parsons, M. C. and Grindrod, P. (2012) Competing edge networks. Physics Letters A. ISSN 0375-9601 (In Press)

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To link to this article 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 nonlin- ear 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 net- works such as BlackBerry Messenger displacing SMS; or instant messaging displacing emails.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics
Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics > Centre for the Mathematics of Human Behaviour (CMOHB)
ID Code:26935
Uncontrolled Keywords:Evolving networks, Edgewise competition, Mean field approximation, Bifurcation structure
Publisher:Elsevier

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