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Epidemics in Interconnected Small-World Networks

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Listed:
  • Meng Liu
  • Daqing Li
  • Pengju Qin
  • Chaoran Liu
  • Huijuan Wang
  • Feilong Wang

Abstract

Networks can be used to describe the interconnections among individuals, which play an important role in the spread of disease. Although the small-world effect has been found to have a significant impact on epidemics in single networks, the small-world effect on epidemics in interconnected networks has rarely been considered. Here, we study the susceptible-infected-susceptible (SIS) model of epidemic spreading in a system comprising two interconnected small-world networks. We find that the epidemic threshold in such networks decreases when the rewiring probability of the component small-world networks increases. When the infection rate is low, the rewiring probability affects the global steady-state infection density, whereas when the infection rate is high, the infection density is insensitive to the rewiring probability. Moreover, epidemics in interconnected small-world networks are found to spread at different velocities that depend on the rewiring probability.

Suggested Citation

  • Meng Liu & Daqing Li & Pengju Qin & Chaoran Liu & Huijuan Wang & Feilong Wang, 2015. "Epidemics in Interconnected Small-World Networks," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-9, March.
    • Handle: RePEc:plo:pone00:0120701
    DOI: 10.1371/journal.pone.0120701
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    References listed on IDEAS

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    1. Wang, Yubo & Xiao, Gaoxi & Hu, Jie & Cheng, Tee Hiang & Wang, Limsoon, 2009. "Imperfect targeted immunization in scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2535-2546.
    2. M E J Newman & Carrie R Ferrario, 2013. "Interacting Epidemics and Coinfection on Contact Networks," PLOS ONE, Public Library of Science, vol. 8(8), pages 1-8, August.
    3. Cristopher Moore & M. E. J. Newman, 2000. "Epidemics and Percolation in Small-World Networks," Working Papers 00-01-002, Santa Fe Institute.
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    1. Zhang, Jiaquan & Lu, Dan & Yang, Shunkun, 2017. "Comparison of two mean-field based theoretical analysis methods for SIS model," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 209-214.
    2. Wang, Lingna & Sun, Mengfeng & Chen, Shanshan & Fu, Xinchu, 2016. "Epidemic spreading on one-way-coupled networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 280-288.
    3. Li, Xun & Cao, Lang, 2016. "Diffusion processes of fragmentary information on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 624-634.
    4. Zhu, Qian & Zhu, Zhiliang & Wang, Yifan & Yu, Hai, 2016. "Fuzzy-information-based robustness of interconnected networks against attacks and failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 194-203.
    5. Qu, Cunquan & Wang, Huijuan, 2019. "Impact of structural balance on Self-Avoiding Pruning Walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 362-374.

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