Rumor Propagation Control With Anti-Rumor Mechanism and Intermittent Control Strategies

This study examines the intermittent control of a rumor propagation system with anti-rumor mechanism. The interaction with the anti-rumor mechanism is investigated, including the existence and stability of two boundary equilibriums, the condition of bistability behavior. Threshold parameters are identified which determine the global exponential stability of the rumor-free equilibrium. To combat rumor spreading, we design deterministic and stochastic control strategies with aperiodically intermittent control time. The expressions of the minimum control intensities are obtained, which are related to the control ratio and system parameters. Numerical examples are carried out to verify the validity of the theoretical results and evaluate the potential roles of the intermittent control strategies.