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Laws of epidemic dynamics in complex networks

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  • Wang, Jia-Zeng
  • Fan, Yan-Hua

Abstract

For the two basic epidemic dynamics in the complex networks: susceptible–infectious–susceptible (SIS) and susceptible–infectious–removed (SIR), we present analytical laws about their outbreak prevalence. So that the researching line is pushed from the threshold conditions to the determinants of the outbreak prevalence, which can help us understanding better the mechanisms of the propagation. For these two basic epidemics, we give the relationship of the relative infection scales among all subgroups with the degree of their activities; and the determinants of the prevalence on the level of whole population. Comparison of the laws got from two kinds of epidemics illustrates the essential difference between them.

Suggested Citation

  • Wang, Jia-Zeng & Fan, Yan-Hua, 2019. "Laws of epidemic dynamics in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 30-35.
    • Handle: RePEc:eee:phsmap:v:524:y:2019:i:c:p:30-35
    DOI: 10.1016/j.physa.2019.03.019
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    References listed on IDEAS

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    1. J. O. Lloyd-Smith & S. J. Schreiber & P. E. Kopp & W. M. Getz, 2005. "Superspreading and the effect of individual variation on disease emergence," Nature, Nature, vol. 438(7066), pages 355-359, November.
    2. Wang, Jia-zeng & Liu, Zeng-rong & Xu, Jianhua, 2007. "Epidemic spreading on uncorrelated heterogenous networks with non-uniform transmission," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 715-721.
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    Cited by:

    1. Wang, Jia-Zeng & Peng, Wei-Hua, 2020. "Fluctuations for the outbreak prevalence of the SIR epidemics in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).

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