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The contact process on scale-free networks evolving by vertex updating


Reference:

Jacob, E. and Morters, P., 2017. The contact process on scale-free networks evolving by vertex updating. Royal Society Open Science, May 2017, 170081.

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Official URL:

https://doi.org/10.1098/rsos.170081

Abstract

We study the contact process on a class of evolving scale-free networks, where each node updates its connections at independent random times. We give a rigorous mathematical proof that there is a transition between a phase where for all infection rates the infection survives for a long time, at least exponential in the network size, and a phase where for sufficiently small infection rates extinction occurs quickly, at most polynomially in the network size. The phase transition occurs when the power-law exponent crosses the value four. This behaviour is in contrast with that of the contact process on the corresponding static model, where there is no phase transition, as well as that of a classical mean-field approximation, which has a phase transition at power-law exponent three. The new observation behind our result is that temporal variability of networks can simultaneously increase the rate at which the infection spreads in the network, and decrease the time at which the infection spends in metastable states.

Details

Item Type Articles
CreatorsJacob, E.and Morters, P.
DOI10.1098/rsos.170081
DepartmentsFaculty of Science > Mathematical Sciences
Research CentresEPSRC Centre for Doctoral Training in Statistical Mathematics (SAMBa)

Centre for Mathematical Biology
RefereedYes
StatusPublished
ID Code56041

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