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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 316092, 12 pages
http://dx.doi.org/10.1155/2015/316092
Research Article

Epidemic Spreading Characteristics and Immunity Measures Based on Complex Network with Contact Strength and Community Structure

1College of Information System and Management, National University of Defense Technology, Changsha, Hunan 410073, China
2College of Electronic Science and Engineering, National University of Defense Technology, Changsha, Hunan 410073, China

Received 3 July 2015; Accepted 22 October 2015

Academic Editor: Xiaobo Qu

Copyright © 2015 Xueting Zhang 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

Middle East Respiratory Syndrome (MERS), bursting in South Korea from May 2015 and mainly spreading within the hospitals at the beginning, has caused a large scale of public panic. Aiming at this kind of epidemic spreading swiftly by intimate contact within community structure, we first established a spreading model based on contact strength and SI model, and a weighted network with community structure based on BBV network model. Meanwhile, the sufficient conditions were deduced to ensure the optimal community division. Next, after the verification by the real data of MERS, it is found that the spreading rate is closely related to the average weight of network but not the number of communities. Then, as the further study shows, the final infection proportion declines with the decreases both in isolation delay and in average weight; however, this proportion can only be postponed rather than decreased with respect to sole average weight reduction without isolation. Finally, the opportunities to take action can be found to restrain the epidemic spreading to the most extent.