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

Details Critical behavior of the SIS epidemic model with time-dependent infection rate Critical behavior of the SIS epidemic model with time-dependent infection rate

2012-03-29

arxiv.org/abs/1203.6673v1

Physics

Physics and Society

13 pages, 11 figures, Submitted for publication

Scientific paper

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.

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