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Mathematical Problems in Engineering
Volume 2017, Article ID 1979468, 7 pages
https://doi.org/10.1155/2017/1979468
Research Article

Epidemic Spreading with Heterogeneous Awareness on Human Networks

1College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
2College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, China

Correspondence should be addressed to Zhengxin Wang; moc.liamg@8002gnawnixgnehz

Received 5 December 2016; Accepted 2 February 2017; Published 4 April 2017

Academic Editor: Haipeng Peng

Copyright © 2017 Yanling Lu 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

The spontaneous awareness behavioral responses of individuals have a significant impact on epidemic spreading. In this paper, a modified Susceptible-Alert-Infected-Susceptible (SAIS) epidemic model with heterogeneous awareness is presented to study epidemic spreading in human networks and the impact of heterogeneous awareness on epidemic dynamics. In this model, when susceptible individuals receive awareness information about the presence of epidemic from their infected neighbor nodes, they will become alert individuals with heterogeneous awareness rate. Theoretical analysis and numerical simulations show that heterogeneous awareness can enhance the epidemic threshold with certain conditions and reduce the scale of virus outbreaks compared with no awareness. What is more, for the same awareness parameter, it also shows that heterogeneous awareness can slow effectively the spreading size and does not delay the arrival time of epidemic spreading peak compared with homogeneous awareness.