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Another way of analyzing this might be to use an "agent-based-modelling"
approach like that used in NetLogo ( http://ccl.northwestern.edu/netlogo/ ).
This is a free application available from Northwestern Univ and it has
model libraries as part of the package. One of the sample models is called
"Virus on a Network". There are also generic diffusion models for networks
and 'infection' models.
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