Dynamical behaviors and control measures of rumor-spreading model in consideration of the infected media and time delay (Q6057407)

This paper studies dynamical behaviors and control measures of rumor-spreading model in consideration of the infected media and time delay. It proposes an improved time-delay rumor spreading model for media networks-friendship networks. It shows the local global asymptotic behavior of boundary equilibrium point and internal equilibrium point using mathematical analysis. Based on the Pontryagin maximization principle, some strategies are proposed to minimize the impact caused by rumors. Some numerical simulation examples are presented to illustrate the theoretical results.