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Threshold conditions for SIS epidemic models on edge-weighted networks

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  • Wu, Qingchu
  • Zhang, Fei

Abstract

We consider the disease dynamics of a susceptible–infected–susceptible model in weighted random and regular networks. By using the pairwise approximation, we build an edge-based compartment model, from which the condition of epidemic outbreak is obtained. Our results suggest that there exists a remarkable difference between the linear and nonlinear transmission rate. For a linear transmission rate, the epidemic threshold is completely determined by the mean weight, which is different from the susceptible–infected–recovered model framework. While for a nonlinear transmission rate, the epidemic threshold is not only related to the mean weight, but also closely related to the heterogeneity of weight distribution.

Suggested Citation

  • Wu, Qingchu & Zhang, Fei, 2016. "Threshold conditions for SIS epidemic models on edge-weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 77-83.
    • Handle: RePEc:eee:phsmap:v:453:y:2016:i:c:p:77-83
    DOI: 10.1016/j.physa.2016.02.036
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    References listed on IDEAS

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    1. Wu, Qingchu & Fu, Xinchu, 2016. "Immunization and epidemic threshold of an SIS model in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 576-581.
    2. Christel Kamp & Mathieu Moslonka-Lefebvre & Samuel Alizon, 2013. "Epidemic Spread on Weighted Networks," PLOS Computational Biology, Public Library of Science, vol. 9(12), pages 1-10, December.
    3. Barthélemy, Marc & Barrat, Alain & Pastor-Satorras, Romualdo & Vespignani, Alessandro, 2005. "Characterization and modeling of weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(1), pages 34-43.
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    Cited by:

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    2. Xiaoyang Liu & Chao Liu & Xiaoping Zeng, 2017. "Online Social Network Emergency Public Event Information Propagation and Nonlinear Mathematical Modeling," Complexity, Hindawi, vol. 2017, pages 1-7, June.
    3. Jing, Wenjun & Li, Yi & Zhang, Xiaoqin & Zhang, Juping & Jin, Zhen, 2022. "A rumor spreading pairwise model on weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    4. Wu, Qingchu & Kabir, K.M. Ariful, 2023. "Compact pairwise methods for susceptible–infected–susceptible epidemics on weighted heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).

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