Spreading dynamics of an e-commerce preferential information model on scale-free networks

Chen Wan, Tao Li, Zhi-Hong Guan, Yuanmei Wang and Xiongding Liu

Physica A: Statistical Mechanics and its Applications, 2017, vol. 467, issue C, 192-200

Abstract: In order to study the influence of the preferential degree and the heterogeneity of underlying networks on the spread of preferential e-commerce information, we propose a novel susceptible–infected–beneficial model based on scale-free networks. The spreading dynamics of the preferential information are analyzed in detail using the mean-field theory. We determine the basic reproductive number and equilibria. The theoretical analysis indicates that the basic reproductive number depends mainly on the preferential degree and the topology of the underlying networks. We prove the global stability of the information-elimination equilibrium. The permanence of preferential information and the global attractivity of the information-prevailing equilibrium are also studied in detail. Some numerical simulations are presented to verify the theoretical results.

Keywords: Attractive parameter; Permanence; Preferential information spread model; Scale-free network; Stability (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:467:y:2017:i:c:p:192-200

DOI: 10.1016/j.physa.2016.09.035

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