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When an emergency event occurs, it inevitably causes some rumors, and the government always issues some official information to control rumors; then the rumors and official information can interact with each other. In this paper, an interplay model between official information and rumor spreading with impulsive effects is proposed to simulate the government strategies in emergency management. By using Floquet theory and comparing methods involving multiple Lyapunov functions, the thresholds for rumor eradication and system permanence are obtained. The influence of the analytical threshold on the stability of a system is verified in a numerical simulation. Finally, some suggestions are provided for the government to eliminate losses causing rumor effect in emergencies.

An interplay model for official information and rumor spreading with impulsive effects