Epidemic spreading in a variety of scale free networks

Dimitri Volchenkov, L. Volchenkova, Ph Blanchard

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Abstract

We have shown that the epidemic spreading in scale-free networks is very sensitive to the statistics of degree distribution characterized by the index γ, the effective spreading rate λ, the social strategy used by individuals to choose a partner, and the policy of administrating a cure to an infected node. Depending on the interplay of these four factors, the stationary fractions of infected population F γ as well as the epidemic threshold properties can be essentially different. We have given an example of the evolutionary scale-free network which is disposed to the spreading and the persistence of infections at any spreading rate λ > 0 for any γ. Probably, it is impossible to obtain a simple immunization program that can be simultaneously effective for all types of scale-free networks. We have also studied the dynamical solutions for the evolution equation governed by the epidemic spreading in scale-free networks and found that for the case of vanishingly small cure rate δ≪ 1 the i
Original languageEnglish
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
StatePublished - Oct 1 2002

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