Steady States of Epidemic Spreading in Small-World Networks

Abstract

We consider a standard \textit{susceptible-infected-susceptible} (SIS) model to study behaviors of steady states of epidemic spreading in small-world networks. Using analytical methods and large scale simulations, we recover the usual epidemic behavior with a critical threshold ${\lambda }_c$ below which infectious diseases die out. Whereas for the spreading rate $\lambda$ far above ${\lambda }_c$, it was found that the density of infected individuals $\rho$ as a function of $\lambda$ has the property $\rho \approx F(K)(\ln \lambda -\ln {\lambda }_c)$.

7 pages, 3 figures

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• Evolution of networks
• Global Organization of the Lexicon
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