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.

Linked References

  1. S. Galam, “Modelling rumors: the no plane Pentagon French hoax case,” Physica A: Statistical Mechanics and Its Applications, vol. 320, pp. 571–580, 2003. View at Publisher · View at Google Scholar · View at Scopus
  2. M. Kosfeld, “Rumours and markets,” Journal of Mathematical Economics, vol. 41, no. 6, pp. 646–664, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  3. H. Hayakawa, “Ryugen no shakaigaku—keishikisyakaigaku karano sekkin (sociology of rumor approach from formal sociology),” Seikyusya, Tokyo, Japan, in Japanese, 2002.
  4. S. A. Thomas, “Lies, damn lies, and rumors: an analysis of collective efficacy, rumors, and fear in the wake of Katrina,” Sociological Spectrum, vol. 27, no. 6, pp. 679–703, 2007. View at Publisher · View at Google Scholar · View at Scopus
  5. E. R. Danzig, P. W. Thayer, and L. R. Galanter, The Effects of a Threatening Rumor on a Disaster-Stricken Community, National Academy of Science, National Research Council, Washington, DC, USA, 1958.
  6. Z. L. Zhang and Z. Q. Zhang, “An interplay model for rumour spreading and emergency development,” Physica A: Statistical Mechanics and its Applications, vol. 388, no. 19, pp. 4159–4166, 2009. View at Publisher · View at Google Scholar · View at Scopus
  7. D. J. Daley and D. G. Kendall, “Epidemics and rumours,” Nature, vol. 204, no. 4963, p. 1118, 1964. View at Publisher · View at Google Scholar · View at Scopus
  8. D. P. Maki and M. Thompson, Mathematical Models and Applications, Prentice-Hall, Englewood Cliffs, NJ, USA, 1973. View at MathSciNet
  9. D. P. Maki, Mathematical Models and Applications, with Emphasis on Social, Life, and Management Sciences, Prentice Hall, Englewood Cliffs, NJ, USA, 1973.
  10. J. D. Murray, Mathematical Modeling in Epidemiology, Springer, Berlin , Germany, 1980. View at MathSciNet
  11. A. Sudbury, “The proportion of the population never hearing a rumour,” Journal of Applied Probability, vol. 22, no. 2, pp. 443–446, 1985. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. B. Doerr, M. Fouz, and T. Friedrich, “Social networks spread rumors in sublogarithmic time,” in Proceedings of the 43rd ACM Symposium on Theory of Computing, pp. 21–30, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. D. Trpevski, W. K. S. Tang, and L. Kocarev, “Model for rumor spreading over networks,” Physical Review E, vol. 81, no. 5, Article ID 056102, 2010. View at Publisher · View at Google Scholar · View at Scopus
  14. F. Roshani and Y. Naimi, “Effects of degree-biased transmission rate and nonlinear infectivity on rumor spreading in complex social networks,” Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, vol. 85, no. 3, Article ID 036109, 2012. View at Publisher · View at Google Scholar · View at Scopus
  15. J. Huang and X. Jin, “Preventing rumor spreading on small-world networks,” Journal of Systems Science and Complexity, vol. 24, no. 3, pp. 449–456, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. P. Li and Q. Z. Zhao, “Rumor spreading in local-world evolving network,” Communications in Computer and Information Science, vol. 227, pp. 693–699, 2011. View at Google Scholar
  17. D. H. Zanette, “Critical behavior of propagation on small-world networks,” Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, vol. 64, no. 5, Article ID 050901, 4 pages, 2001. View at Google Scholar · View at Scopus
  18. D. H. Zanette, “Dynamics of rumor propagation on small-world networks,” Physical Review E, vol. 65, no. 4, Article ID 041908, pp. 1–9, 2002. View at Publisher · View at Google Scholar · View at Scopus
  19. L. Buzna, K. Peters, and D. Helbing, “Modelling the dynamics of disaster spreading in networks,” Physica A: Statistical Mechanics and its Applications, vol. 363, no. 1, pp. 132–140, 2006. View at Publisher · View at Google Scholar · View at Scopus
  20. Y. Moreno, M. Nekovee, and A. F. Pacheco, “Dynamics of rumor spreading in complex networks,” Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, vol. 69, no. 6, Article ID 066130, pp. 1–66130, 2004. View at Publisher · View at Google Scholar · View at Scopus
  21. J. Gu and X. Cai, “The forget-remember mechanism for 2-state spreading,” http://arxiv.org/pdf/nlin/0702021.pdf.
  22. J. Gu, W. Li, and X. Cai, “The effect of the forget-remember mechanism on spreading,” European Physical Journal B, vol. 62, no. 2, pp. 247–255, 2008. View at Publisher · View at Google Scholar · View at Scopus
  23. M. Nekovee, Y. Moreno, G. Bianconi, and M. Marsili, “Theory of rumour spreading in complex social networks,” Physica A, vol. 374, no. 1, pp. 457–470, 2007. View at Publisher · View at Google Scholar · View at Scopus
  24. L. Zhao, Q. Wang, J. Cheng, Y. Chen, J. Wang, and W. Huang, “Rumor spreading model with consideration of forgetting mechanism: a case of online blogging LiveJournal,” Physica A: Statistical Mechanics and Its Applications, vol. 390, no. 13, pp. 2619–2625, 2011. View at Publisher · View at Google Scholar · View at Scopus
  25. L. J. Zhao, J. J. Wang, Y. C. Chen, Q. Wang, J. Cheng, and H. Cui, “SIHR rumor spreading model in social networks,” Physica A: Statistical Mechanics and Its Applications, vol. 391, no. 7, pp. 2444–2453, 2012. View at Publisher · View at Google Scholar · View at Scopus
  26. L. Zhao, X. Qiu, X. Wang, and J. Wang, “Rumor spreading model considering forgetting and remembering mechanisms in inhomogeneous networks,” Physica A: Statistical Mechanics and Its Applications, vol. 392, no. 4, pp. 987–994, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  27. L. J. Zhao, X. L. Wang, X. Y. Qiu, and J. J. Wang, “A model for the spread of rumors in BARrat-BARthelemy-Vespignani (BBV) networks,” Physica A: Statistical Mechanics and its Applications, vol. 392, no. 21, pp. 5542–5551, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  28. F. Xiong, Y. Liu, Z. Zhang, J. Zhu, and Y. Zhang, “An information diffusion model based on retweeting mechanism for online social media,” Physics Letters A: General, Atomic and Solid State Physics, vol. 376, no. 30-31, pp. 2103–2108, 2012. View at Publisher · View at Google Scholar · View at Scopus
  29. J. Cheng, Y. Liu, B. Shen, and W. Yuan, “An epidemic model of rumor diffusion in online social networks,” The European Physical Journal B. Condensed Matter and Complex Systems, vol. 86, no. 1, article 29, 7 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet