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

Abstract

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.

13 pages, 11 figures, Submitted for publication

References in corpus (6)

• Critical phenomena in complex networks
• Efficient Immunization Strategies for Computer Networks and Populations
• Size of Outbreaks Near the Epidemic Threshold
• Solution of an infection model near threshold
• Viral epidemics in a cell culture: novel high resolution data and their interpretation by a percolation theory based model
• Critical scaling of stochastic epidemic models

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