Abstract
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 r and 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.
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