Spreading dynamics of an online social rumor model with psychological factors on scale-free networks

摘要

Considering people's psychological factors such as hesitation and forgetting, and the heterogeneity of online social networks, a novel SHPRS (susceptible-hesitating-propagating-resisted-susceptible) rumor spreading model on scale-free networks is proposed in this paper. The spreading dynamics of rumor is analyzed in detail through the mean-field theory. First, the basic reproductive number R-0 is derived by the next generation matrix method and equilibriums are obtained. Both the existence of rumor equilibriums and the dynamic behaviors of model are determined by the basic reproductive number R-0. Then, the global stability of the rumor-free equilibrium E-0 and the permanence of rumor spreading are studied in detail. Furthermore, we studied the global attractivity of the rumor-prevailing equilibrium. Finally, numerical simulations are performed to confirm the analytical results. (C) 2019 Elsevier B.V. All rights reserved.