Controlling the spreading in small-world networks

Details Controlling the spreading in small-world networks Controlling the spreading in small-world networks

2004-07-22

arxiv.org/abs/cond-mat/0407582v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 2 figures

Scientific paper

The spreading (propagation) of diseases, viruses, and disasters such as power blackout through a huge-scale and complex network is one of the most concerned issues today. In this paper, we study the control of such spreading in a nonlinear spreading model of small-world networks. We found that the short-cut adding probability $p$ in the N-W model \cite{N-W:1999} of small-world networks determines the Hopf bifurcation and other bifurcating behaviors in the proposed model. We further show a control technique that stabilize a periodic spreading behavior onto a stable equilibrium over the proposed model of small-world networks.

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