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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The spread of infections on evolving scale-free ne
tworks - Peter MÃ¶rters (University of Bath)
DTSTART;TZID=Europe/London:20161215T144500
DTEND;TZID=Europe/London:20161215T153000
UID:TALK69514AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/69514
DESCRIPTION:We study the contact process on a class of evolvin
g scale-free networks\, where each node updates it
s connections at independent random times. We give
a rigorous mathematical proof that there is a tr
ansition between a phase where for all infection
rates the infection survives for a long time\, at
least exponential in the network size\, and a p
hase 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 fou
r. This behaviour is in contrast to 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\, w
hich has a phase transition at power-law exponent
three. The new observation behind our result is
that temporal variability of networks can simultan
eously increase the rate at which the infection sp
reads in the network\, and decrease the time which
the infection spends in metastable states.

This is joint work with Emmanuel Jacob (EN
S Lyon).
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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