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Mathematical Problems in Engineering
Volume 2014, Article ID 409510, 7 pages
http://dx.doi.org/10.1155/2014/409510
Research Article

Effect of Heterogeneity of Vertex Activation on Epidemic Spreading in Temporal Networks

1School of Computer Science and Engineering, University of Electronic Science and Technology of China, No. 2006, Xiyuan Avenue, West Hi-Tech Zone, Chengdu, Sichuan 611731, China
2School of Computer Science and Engineering, Xinjiang University of Finance and Economics, No. 449, Central Beijing Road, Urumqi, Xinjiang 830012, China

Received 27 December 2013; Revised 10 March 2014; Accepted 17 March 2014; Published 8 April 2014

Academic Editor: Linying Xiang

Copyright © 2014 Yixin Zhu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Development of sensor technologies and the prevalence of electronic communication services provide us with a huge amount of data on human communication behavior, including face-to-face conversations, e-mail exchanges, phone calls, message exchanges, and other types of interactions in various online forums. These indirect or direct interactions form potential bridges of the virus spread. For a long time, the study of virus spread is based on the aggregate static network. However, the interaction patterns containing diverse temporal properties may affect dynamic processes as much as the network topology does. Some empirical studies show that the activation time and duration of vertices and links are highly heterogeneous, which means intense activity may be followed by longer intervals of inactivity. We take heterogeneous distribution of the node interactivation time as the research background to build an asynchronous communication model. The two sides of the communication do not have to be active at the same time. One derives the threshold of virus spreading on the communication mode and analyzes the reason the heterogeneous distribution of the vertex interactivation time suppresses the spread of virus. At last, the analysis and results from the model are verified on the BA network.