Study On The Rumor Propagation Model With Penalty Factor

This paper analyzes the influence of penalty factors on rumor propagation, establishes a rumor propagation model with penalty factors, and obtains an average field equation with penalty coefficients. Through the stability analysis of the model, we obtain the network rumor threshold related to the penalty factor. And through a series of simulations, it is concluded that the influence of the rumor spreader is weaker in the BA scale-free network or in the homogeneous network with the increase of the penalty factor. The experimental results also show that the penalty factor pair Susceptible people have the greatest impact, and we increase the punishment for susceptible people, which can effectively reduce the density of infected people in the system.