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Effects of epidemic threshold definition on disease spread statistics

Abstract:

We study the statistical properties of SIR epidemics in random networks, when an epidemic is defined as only those SIR propagations that reach or exceed a minimum size sc. Using percolation theory to calculate the average fractional size View the MathML source of an epidemic, we find that the strength of the spanning link percolation cluster P∞ is an upper bound to View the MathML source. For small values of sc, P∞ is no longer a good approximation, and the average fractional size has to be c...

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Publication date:
2009-01-01
UUID:
uuid:6822195b-f80d-4042-828d-d9f25d7a658e
Local pid:
oai:eureka.sbs.ox.ac.uk:241
Deposit date:
2011-05-19

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