Table of Contents Author Guidelines Submit a Manuscript
Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 659273, 11 pages
http://dx.doi.org/10.1155/2014/659273
Research Article

Rumor-Propagation Model with Consideration of Refutation Mechanism in Homogeneous Social Networks

1Sino-US Global Logistics Institute, Shanghai Jiao Tong University, Shanghai 200030, China
2Antai College of Economics & Management, Shanghai Jiao Tong University, Shanghai 200052, China
3School of Management, Shanghai University of Engineering Science, Shanghai 201620, China
4School of Management, Shanghai University, Shanghai 200444, China

Received 26 March 2014; Revised 19 July 2014; Accepted 19 July 2014; Published 18 August 2014

Academic Editor: Cengiz Çinar

Copyright © 2014 Laijun Zhao 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

In recent years, increasing attention has been paid to how to effectively manage rumor propagation. Based on previous studies of rumor propagation and some strategies used by the authorities to refute rumors and manage rumor propagation, we develop a new rumor-propagation model with consideration of refutation mechanism. In this paper, we describe the dynamic process of rumor propagation by accounting for the refutation mechanism in homogeneous social networks. And then, we derive mean-field equations for rumor-propagation process. We then analyze the stability of the model with respect to changes in parameter values. Our results show that there exists a critical threshold that is inversely proportional to the average degree of the social networks and is positively correlated with the strength of the refutation mechanism. If the spreading rate is bigger than the critical threshold , rumors can be spread. Our numerical simulations in homogeneous networks demonstrate that increasing the ignorant’s refutation rate can reduce the peak value of spreaders density, which is better than increasing the spreader’s refutation rate . Therefore, based on the seriousness of the rumor propagation and the rumor-propagation rate, the authorities can choose effective strategies that increase the refutation rate so that they can reduce the maximum influence of the rumor.