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Steady-State Analysis of SECIR Rumor Spreading Model in Complex Networks
Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China
Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China
Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China
- 1 Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China
- 2 Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China
- 3 Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China
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Abstract
In this paper, the SECIR rumor spreading model is formulated and analyzed, in which the social education level and the counterattack mechanism are taken into consideration. The results show that improving education level and increasing the ratio of counter are effective in reducing the risk of rumor propagation and enhanc ing the resistance to rumor propagation.
KeywordsSECIR ModelRumor SpreadingHomogeneous NetworkCounterattack Mechanism
- Peterson, W.A. and Gist, N.P. (1951) Rumor and Public Opinion. American Journal of Sociology, 57, 159-167. https://doi.org/10.1086/220916
- Kesten, H. and Sidoravicius, V. (2005) The Spread of a Rumor or Infection in a Moving Population. Annals of Probability, 33, 2402-2462. https://doi.org/10.1214/009117905000000413
- Kostka, J., Oswald, Y.A. and Wattenhofer, R. (2008) Word of Mouth: Rumor Dissemination in Social Networks. International Colloquium on Structural Information & Communication Complexity, Villars-sur-Ollon, 17-20 June 2008, 185-196. https://doi.org/10.1007/978-3-540-69355-0_16
- Ganesh, A.J., Kermarrec, A.M. and Massoulie, L. (2002) Hiscamp: Self-Organizing Hierarchical Membership Protocol. Workshop on ACM Sigops European Workshop. https://doi.org/10.1145/1133373.1133398
- Thomas, S.A. (2007) Lies, Damn Lies, and Rumors: An Analysis of Collective Efficacy, Rumors, and Fear in the Wake of Katrina. Sociological Spectrum, 27, 679-703. https://doi.org/10.1080/02732170701534200
- Bhavnani, R. and Kuklinski, J.H. (2009) Rumor Dynamics in Ethnic Violence. Journal of Politics, 71, 876. https://doi.org/10.1017/S002238160909077X
- Galam, S. (2002) Modelling Rumors: The No Plane Pentagon French Hoax Case. Physica A: Statistical Mechanics & Its Applications, 320, 571-580.
- Kimmel, A.J. (2004) Rumors and Rumor Control: A Manager’s Guide to Understanding and Combatting Rumors. Lawrence Erlbaum Associates.
- Daley, D.J. and Kendall, D.G. (1965) Stochastic Rumours. IMA Journal of Applied Mathematics, 1, 42-55. https://doi.org/10.1093/imamat/1.1.42
- Daley, D.J. and Gani, J. (1999) Epidemic Modelling: An Introduction. Cambridge University Press, Cambridge. https://doi.org/10.1017/CBO9780511608834
- Maki, D.P. and Thompson, M. (1973) Mathematical Models and Applications: With Emphasis on the Social, Life, and Management Sciences. Prentice Hall, Upper Saddle River.
- Pittel, B. (1990) On a Daley-Kendall Model of Random Rumours. Journal of Applied Probability, 27, 14-27. https://doi.org/10.2307/3214592
- Newman, M.E., Forrest, S. and Balthrop, J. (2002) Email Networks and the Spread of Computer Viruses. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 66, Article ID: 035101. https://doi.org/10.1103/PhysRevE.66.035101
- Sudbury, A. (1985) The Proportion of the Population Never Hearing a Rumour. Journal of Applied Probability, 22, 443-446. https://doi.org/10.2307/3213787