A Rumor Propagation Model with Penalty Factors in the Weighted Network

By analyzing the influence of penalty factors on rumor propagation, a rumor propagation model with penalty factors is established in weighted network, an average field equation with penalty factors is obtained. The experimental results showed that the greater the weight, the greater the impact on rumor spread. Moreover, with the increase of penalty factor, the influence of rumor propagator in the whole system becomes smaller and smaller. The results also show that the penalty factors have the greatest impact on the susceptible. After the rumor broke out, increasing the punishment to the susceptible can effectively reduce the density of rumor infectors in the system.