Abstract
Considering propagation characteristics and affecting factors of rumour in real-world complex networks, this paper describes different propagation rates of different nodes by introducing the rumour acceptability function. Based on mean-field theory, this paper presents a rumour propagation model on scale-free network with non-uniform propagation rate and then simulates the behaviour of rumour propagation on scale-free network and calculates the propagation thresholds by corresponding dynamics equation. Theoretical analysis and simulation results show that nodes with different rumour acceptability could lead to slowing the spread of rumours, make positive propagation threshold arise, and effectively contain the outbreak and reduce the risk of rumours.
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