The rumor spreading has been widely studied by scholars. However, there
exist some people who will persuade infected individuals to resist and
counterattack the rumor propagation in our social life. In this paper, a new SICS (susceptible-infected-counter-susceptible) rumor
spreading model with counter mechanism on complex social networks is presented.
Using the mean-field theory the spreading dynamics of the rumor is studied in
detail. We obtain the basic reproductive number rand equilibriums. The basic reproductive number is correlated to the
network topology and the influence of the counter mechanism. When ρ＜1, the rumor-free
equilibrium is globally asymptotically stable, and when ρ＞1, the positive
equilibrium is permanent. Some interesting patterns of rumor spreading
involved with counter force have been revealed. Finally, numerical
simulations have been given to demonstrate the effectiveness of the theoretical
analysis.
Cite this paper
Wan, C. , Li, T. , Wang, Y. and Liu, X. (2016). Rumor Spreading of a SICS Model on Complex Social Networks with Counter Mechanism. Open Access Library Journal, 3, e2885. doi: http://dx.doi.org/10.4236/oalib.1102885.
Galam, S. (2003) Modelling Rumors: The No Plane Pentagon French Hoax
Case. Physica A: Statistical Mechanics and its Applications, 320, 571-580. http://dx.doi.org/10.1016/s0378-4371(02)01582-0
Zhang, Z.L. and Zhang, Z.Q. (2009) An Interplay Model for Rumour Spreading and Emergency
Development. Physica A: Statistical Mechanics and its
Applications, 388, 4159-4166. http://dx.doi.org/10.1016/j.physa.2009.06.020
Li, T., Liu, X., Wu, J., Wan,
C., Guan, Z.-H. and Wang, Y.M. (2016) An Epidemic Spreading Model on Adaptive Scale-Free Networks with
Feedback Mechanism. Physica A: Statistical Mechanics and its Applications, 450,
649-656. http://dx.doi.org/10.1016/j.physa.2016.01.045
Hu, S., Yue, D., Xie, X., et al. (2015) Event-Triggered
H∞ Stabilization for Networked Stochastic Systems with Multiplicative
Noise and Network-Induced Delays. Information
Sciences, 299, 178-197.
Li, T., Wang, Y.M. and Guan, Z.H. (2014) Spreading Dynamics of a SIQRS Epidemic
Model on Scale-Free Networks. Communications
in Nonlinear Science and Numerical Simulation, 19, 686-692. http://dx.doi.org/10.1016/j.cnsns.2013.07.010
Nekovee, M.,
Moreno, Y.,
Bianconi, G. and Marsili, M. (2007) Theory of Rumor Spreading in Complex Social Networks. Physica A: Statistical Mechanics and its Applications, 374, 457-470.
Lefevre, C. and Picard, P. (1994) Distribution of the Final
Extent of a Rumour Process. Journal
of Applied Probability, 31, 244-249. http://dx.doi.org/10.2307/3215250
Nekovee, M.,
Moreno, Y.,
Bianconi, G.
and Marsili, M.
(2007) Theory of Rumor Spreading in Complex Social Networks. Physica A: Statistical Mechanics and its Applications, 374, 457-470. http://dx.doi.org/10.1016/j.physa.2006.07.017
Wang, Y.Q.,
Yang, X.Y.,
Han, Y.L.
and Wang, X.A. (2013)
Rumor Spreading Model with Trust Mechanism in Complex Social Networks. Communications in Theoretical Physics, 59,
510-516. http://dx.doi.org/10.1088/0253-6102/59/4/21
Han, S.,
Zhuang, F.Z.,
He, Q.,
Shi, Z.Z. and Ao, X. (2014)
Energy Model for Rumor Propagation on Social Networks. Physica
A: Statistical Mechanics and its Applications, 394,
99-109. http://dx.doi.org/10.1016/j.physa.2013.10.003
