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arXiv · 1203.6673

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

Nuno Crokidakis·Marcio Argollo de Menezes
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Abstract

In this work we study a modified Susceptible-Infected-Susceptible (SIS) model in which the infection rate $λ$ decays exponentially with the number of reinfections $n$, saturating after $n=l$. We find a critical decaying rate $ε_{c}(l)$ 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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Nuno Crokidakis, Marcio Argollo de Menezes. 2012-03-29. Critical behavior of the SIS epidemic model with time-dependent infection rate. https://doi.org/10.1088/1742-5468%2F2012%2F05%2Fp05012

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