Monday, April 2, 2012

1203.6673 (Nuno Crokidakis et al.)

Critical behavior of the SIS epidemic model with time-dependent
infection rate
   [PDF]

Nuno Crokidakis, Marcio Argollo de Menezes
In this work we study a modified Susceptible-Infected-Susceptible (SIS) model in which the infection rate $\lambda$ decays exponentially with the number of reinfections $n$, saturating after $n=l$. We find a critical decaying rate $\epsilon_{c}(l)$ above which a finite fraction of the population becomes permanently infected. From the mean-field solution and computer simulations on hypercubic lattices we find evidences that the upper critical dimension is 6 like in the SIR model, which can be mapped in ordinary percolation.
View original: http://arxiv.org/abs/1203.6673

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