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SUMMARY:The spread of infections on evolving scale-free networks - Peter M
 örters (University of Bath)
DTSTART:20161215T144500Z
DTEND:20161215T153000Z
UID:TALK69514@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION: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 b
 etween a  phase where for all infection rates the infection survives for a
  long time\, at least exponential in the network size\, and a    phase whe
 re 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  contr
 ast  to that of the contact process on the corresponding static model\,  w
 here there is no phase transition\, as well as that of a classical mean-fi
 eld approximation\,  which has a phase  transition at power-law exponent t
 hree.  The new observation behind our result is that temporal variability 
 of networks can simultaneously increase the rate at which the infection sp
 reads in the network\, and decrease the time which the infection  <span>sp
 ends in metastable states.<br><br>This is joint work with Emmanuel Jacob (
 ENS Lyon).</span>
LOCATION:Seminar Room 1\, Newton Institute
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