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SUMMARY:Viral Processes by Random Walks on Random Graphs - Mohammed Abdull
 ah\, KCL
DTSTART:20110502T133000Z
DTEND:20110502T143000Z
UID:TALK30262@talks.cam.ac.uk
CONTACT:Elena Yudovina
DESCRIPTION:We study the SIR epidemic model with infections carried by par
 ticles making independent random walks on a random regular graph. We demon
 strate a reduction of the dynamics of the problem to an Erdos-Renyi random
  graph on the particle set P\, which allows us to use standard results to 
 determine phase transitions for the number of infected particles. Furtherm
 ore\, edge weights on the E-R graph give information about when infections
  took place\, which we exploit in the special SI case to determine a compl
 etion time for the process.\n\nJoint work with Colin Cooper and Moez Draie
 f accessible here http://arxiv.org/abs/1104.3789
LOCATION:MR5\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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