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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 605854, 8 pages
http://dx.doi.org/10.1155/2013/605854
Research Article

A Kinetic Model for the Spread of Rumor in Emergencies

1Antai College of Economics and Management, Shanghai Jiao Tong University, Shanghai 200052, China
2School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200052, China
3School of International Education, Shanghai Jiao Tong University, Shanghai 200052, China

Received 3 July 2013; Revised 1 November 2013; Accepted 11 November 2013

Academic Editor: Tetsuji Tokihiro

Copyright © 2013 Guanghua Chen 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

To study rumor spreading, a novel rumor spreading model with latent, constant recruitment, and varying total population is investigated. We carry out a global qualitative analysis of the rumor spreading model with latent, constant recruitment, and varying total population and studied the existence and stability of the rumor-elimination and prevailing equilibria and the impact different management strategies have on the rumor spreading process. The Runge-Kutta method is used for numerical simulation, and the simulation results imply that increasing the efforts to crack down on rumor spreaders, the timely disclosure of transparent information, the popularization of scientific knowledge, and the improvement of the ignorants’ discrimination may be effective rumor control measures.