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Title: Adaptive mechanism between dynamical synchronization and epidemic behavior on complex networks
Authors: Li, K
Fu, X
Small, M
Ma, Z
Keywords: Complex networks
Numerical analysis
Issue Date: Sep-2011
Publisher: American Institute of Physics
Source: Chaos: an interdisciplinary journal of nonlinear science, Sept. 2011, v. 21, no. 3, 033111, p. 1-6 How to cite?
Journal: Chaos: an interdisciplinary journal of nonlinear science 
Abstract: Many realistic epidemic networks display statistically synchronous behavior which we will refer to as epidemic synchronization. However, to the best of our knowledge, there has been no theoretical study of epidemic synchronization. In fact, in many cases, synchronization and epidemic behavior can arise simultaneously and interplay adaptively. In this paper, we first construct mathematical models of epidemic synchronization, based on traditional dynamical models on complex networks, by applying the adaptive mechanisms observed in real networks. Then, we study the relationship between the epidemic rate and synchronization stability of these models and, in particular, obtain the conditions of local and global stability for epidemic synchronization. Finally, we perform numerical analysis to verify our theoretical results. This work is the first to draw a theoretical bridge between epidemic transmission and synchronization dynamics and will be beneficial to the study of control and the analysis of the epidemics on complex networks.
ISSN: 1054-1500 (print)
1089-7682 (online)
DOI: 10.1063/1.3622678
Rights: © 2011 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in K. Li et al., Chaos: an interdisciplinary journal of nonlinear science 21, 033111 (2011) and may be found at
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