Rumour propagation model for scale-free network with non-uniform propagation rates

Taking into account the differences between individual immune to rumours on real-world complex networks, to describe non-uniform propagation rates of different nodes by introducing the rumour acceptability function. Based on mean-field theory, rumour propagation model for scale-free network with non-uniform propagation rates was proposed, and then the behavior of rumour propagation on scale-free network was studied. Theoretical analysis and simulation results show that nodes with different rumour acceptability could lead to slowing the spread of rumours. Furthermore, rumour acceptability make positive propagation threshold arise, and effectively contain the outbreak and reduce the risk of rumours.