Two-level-mixing rumor propagation model based on dynamic trust network

Rumor propagation has become a major area of social network research. There are some existing models that combine rumor propagation and trust network, but the trust degree is constant in these models without considering the influence of rumor propagation on trust degree among nodes. This paper put forward a rumor propagation model (DTM) which is based on two-level-mixing SIR epidemic model [1] and trust network, taking the interaction between trust network and rumor propagation into account. The probability of people believing the rumor from rumormongers is computed by the trust degree and the trust degree used in next step is modified according to the results of previous rumor propagation. The simulation results reveal that trust plays an important role in rumor spreading and vice versa. In comparison with the traditional rumor propagation models, the rumor spreading with DTM will be accelerated as the increasing of trust degree.