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Effects of immunization in small-world epidemics

Author

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  • Zanette, Damián H.
  • Kuperman, Marcelo

Abstract

The propagation of model epidemics on a small-world network under the action of immunization is studied. Although the connectivity in this kind of networks is rather uniform, a vaccination strategy focused on the best connected individuals yields a considerable improvement of disease control. The model exhibits a transition from disease localization to propagation as the disorder of the underlying network grows. As a consequence, for fixed disorder, a threshold immunization level exists above which the disease remains localized.

Suggested Citation

  • Zanette, Damián H. & Kuperman, Marcelo, 2002. "Effects of immunization in small-world epidemics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 309(3), pages 445-452.
    • Handle: RePEc:eee:phsmap:v:309:y:2002:i:3:p:445-452
    DOI: 10.1016/S0378-4371(02)00618-0
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    Cited by:

    1. Li, Dandan & Ma, Jing, 2017. "How the government’s punishment and individual’s sensitivity affect the rumor spreading in online social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 284-292.
    2. Çavuşoğlu, Abdullah & Türker, İlker, 2014. "Patterns of collaboration in four scientific disciplines of the Turkish collaboration network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 220-229.
    3. Perc, Matjaž, 2010. "Growth and structure of Slovenia’s scientific collaboration network," Journal of Informetrics, Elsevier, vol. 4(4), pages 475-482.
    4. Qian, Zhen & Tang, Shaoting & Zhang, Xiao & Zheng, Zhiming, 2015. "The independent spreaders involved SIR Rumor model in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 95-102.
    5. Song, Zhichao & Ge, Yuanzheng & Luo, Lei & Duan, Hong & Qiu, Xiaogang, 2015. "An effective immunization strategy for airborne epidemics in modular and hierarchical social contact network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 439(C), pages 142-149.
    6. Çavuşoğlu, Abdullah & Türker, İlker, 2013. "Scientific collaboration network of Turkey," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 9-18.
    7. 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.
    8. Pires, Marcelo A. & Crokidakis, Nuno, 2017. "Dynamics of epidemic spreading with vaccination: Impact of social pressure and engagement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 167-179.
    9. Huo, Liang’an & Chen, Sijing & Zhao, Laijun, 2021. "Dynamic analysis of the rumor propagation model with consideration of the wise man and social reinforcement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    10. Peng, Chengbin & Jin, Xiaogang & Shi, Meixia, 2010. "Epidemic threshold and immunization on generalized networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 549-560.
    11. Laijun Zhao & Jiajia Wang & Rongbing Huang, 2015. "Immunization against the Spread of Rumors in Homogenous Networks," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-17, May.

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