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Epidemic spreading model of complex dynamical network with the heterogeneity of nodes

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  • Sheng Hong
  • Hongqi Yang
  • Tingdi Zhao
  • Xiaomin Ma

Abstract

In this paper, we model epidemic spreading by considering the mobility of nodes in complex dynamical network based on mean field theory using differential equations. Moreover, a resistance factor which can characterise the impact of individual's difference on the propagation dynamics in complex dynamical network is proposed by considering the influence of total number of connections and the continuous time to remain in contact. The effect of heterogeneity on the evolution process of propagation dynamics is explored by simulation. Extensive simulations are conducted to study the key influence parameters and the influence of them on the spreading dynamics, which are helpful to the understanding of epidemic spreading mechanism and the designing of effective control strategies.

Suggested Citation

  • Sheng Hong & Hongqi Yang & Tingdi Zhao & Xiaomin Ma, 2016. "Epidemic spreading model of complex dynamical network with the heterogeneity of nodes," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2745-2752, August.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2745-2752
    DOI: 10.1080/00207721.2015.1022890
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    References listed on IDEAS

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    1. Wang, Jiajia & Zhao, Laijun & Huang, Rongbing, 2014. "SIRaRu rumor spreading model in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 398(C), pages 43-55.
    2. Rhodes, C.J. & Nekovee, M., 2008. "The opportunistic transmission of wireless worms between mobile devices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(27), pages 6837-6844.
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    Cited by:

    1. Li, Chao & Wang, Li & Sun, Shiwen & Xia, Chengyi, 2018. "Identification of influential spreaders based on classified neighbors in real-world complex networks," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 512-523.
    2. Binghui Wu & Tingting Duan, 2019. "Nonlinear Dynamics Characteristic of Risk Contagion in Financial Market Based on Agent Modeling and Complex Network," Complexity, Hindawi, vol. 2019, pages 1-12, June.
    3. Jia, Peng & Liu, Jiayong & Fang, Yong & Liu, Liang & Liu, Luping, 2018. "Modeling and analyzing malware propagation in social networks with heterogeneous infection rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 240-254.

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