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Abstract
We study the contact process on a class of evolving scalefree 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 powerlaw 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 meanfield approximation, which has a phase transition at powerlaw 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.
Original language  English 

Article number  170081 
Journal  Royal Society Open Science 
Volume  May 2017 
DOIs  
Publication status  Published  24 May 2017 
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 1 Finished

Emergence of Condensation in Stochastic Systems
Morters, P. (PI)
Engineering and Physical Sciences Research Council
1/08/13 → 31/08/16
Project: Research council