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

Hao Xu, Tao Li, Xiongding Liu, Wenjin Liu and Jing Dong

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 234-246

Abstract: 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 R0 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 R0. Then, the global stability of the rumor-free equilibrium E0 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.

Keywords: SHPRS model; Psychological factors; Scale-free networks; Stability; Permanence (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:234-246

DOI: 10.1016/j.physa.2019.03.037

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