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

Author

Listed:
  • Wan, Chen
  • Li, Tao
  • Guan, Zhi-Hong
  • Wang, Yuanmei
  • Liu, Xiongding

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.

Suggested Citation

  • Wan, Chen & Li, Tao & Guan, Zhi-Hong & Wang, Yuanmei & Liu, Xiongding, 2017. "Spreading dynamics of an e-commerce preferential information model on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 192-200.
    • Handle: RePEc:eee:phsmap:v:467:y:2017:i:c:p:192-200
    DOI: 10.1016/j.physa.2016.09.035
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    Citations

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    Cited by:

    1. Xu, Hao & Li, Tao & Liu, Xiongding & Liu, Wenjin & Dong, Jing, 2019. "Spreading dynamics of an online social rumor model with psychological factors on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 234-246.
    2. Liu, Xiongding & Li, Tao & Xu, Hao & Liu, Wenjin, 2019. "Spreading dynamics of an online social information model on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 497-510.
    3. Fu, Minglei & Feng, Jun & Lande, Dmytro & Dmytrenko, Oleh & Manko, Dmytro & Prakapovich, Ryhor, 2021. "Dynamic model with super spreaders and lurker users for preferential information propagation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    4. Fu, Minglei & Yang, Hongbo & Feng, Jun & Guo, Wen & Le, Zichun & Lande, Dmytro & Manko, Dmytro, 2018. "Preferential information dynamics model for online social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 993-1005.
    5. Deng, Qun & Wu, Jie & Han, Tao & Yang, Qing-Sheng & Cai, Xiu-Shan, 2019. "Fixed-time bipartite consensus of multi-agent systems with disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 37-49.
    6. Hou, Jingrui & Chi, Ming & Li, Tao & Guan, Zhi-Hong & Luo, Kai & Zhang, Ding-Xue, 2019. "Spreading dynamics of SVFR online fraud information model on heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    7. Wu, Jie & Deng, Qun & Han, Tao & Yang, Qing-Sheng & Zhan, Heng, 2019. "Bipartite tracking consensus for multi-agent systems with Lipschitz-Type nonlinear dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1360-1369.

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