Controlling the spreading in small-world networks
Disordered Systems and Neural Networks
2007-05-23 v1
Abstract
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 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.
Cite
@article{arxiv.cond-mat/0407582,
title = {Controlling the spreading in small-world networks},
author = {Xiang Li and Guanrong Chen},
journal= {arXiv preprint arXiv:cond-mat/0407582},
year = {2007}
}
Comments
5 pages, 2 figures