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Epidemic spreading on uncorrelated heterogenous networks with non-uniform transmission

Author

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  • Wang, Jia-zeng
  • Liu, Zeng-rong
  • Xu, Jianhua

Abstract

We investigate the combinational effects of non-uniform transmission of edges and the network structure in susceptible-infected-removed models of the epidemic spreading. Here the degree–degree correlation is neglected and the transmission of individual edge depends on the degree of infected node. With the additional assumption that we can compartment a independent factor λ0 from the transmission, we analyzed the effects of degree distribution P(k) and transmission distribution λ(k) on the threshold of λ0.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:382:y:2007:i:2:p:715-721
    DOI: 10.1016/j.physa.2007.04.034
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    Cited by:

    1. Wang, Yi & Jin, Zhen, 2013. "Global analysis of multiple routes of disease transmission on heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 3869-3880.
    2. Sun, Hong-liang & Chen, Duan-bing & He, Jia-lin & Ch’ng, Eugene, 2019. "A voting approach to uncover multiple influential spreaders on weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 303-312.
    3. Huang, He & Chen, Yahong & Ma, Yefeng, 2021. "Modeling the competitive diffusions of rumor and knowledge and the impacts on epidemic spreading," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    4. Wang, Yi & Cao, Jinde & Jin, Zhen & Zhang, Haifeng & Sun, Gui-Quan, 2013. "Impact of media coverage on epidemic spreading in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 5824-5835.
    5. 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.
    6. 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.
    7. 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.
    8. Wu, Yanlei & Yang, Yang & Jiang, Fei & Jin, Shuyuan & Xu, Jin, 2014. "Coritivity-based influence maximization in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 467-480.
    9. Wang, Xiaojie & Zhang, Xue & Zhao, Chengli & Yi, Dongyun, 2018. "Effectively identifying multiple influential spreaders in term of the backward–forward propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 404-413.
    10. Wei, Xiaodan & Xu, Gaochao & Liu, Lijun & Zhou, Wenshu, 2017. "Global stability of endemic equilibrium of an epidemic model with birth and death on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 78-84.
    11. Cai Gao & Xin Lan & Xiaoge Zhang & Yong Deng, 2013. "A Bio-Inspired Methodology of Identifying Influential Nodes in Complex Networks," PLOS ONE, Public Library of Science, vol. 8(6), pages 1-11, June.
    12. Gong, Yong-Wang & Song, Yu-Rong & Jiang, Guo-Ping, 2013. "Time-varying human mobility patterns with metapopulation epidemic dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4242-4251.
    13. Xue, Xiaofeng, 2016. "Critical value for contact processes on clusters of oriented bond percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 205-215.
    14. Fei, Liguo & Zhang, Qi & Deng, Yong, 2018. "Identifying influential nodes in complex networks based on the inverse-square law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1044-1059.
    15. Zhu, Yu-Xiao & Cao, Yan-Yan & Chen, Ting & Qiu, Xiao-Yan & Wang, Wei & Hou, Rui, 2018. "Crossover phenomena in growth pattern of social contagions with restricted contact," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 408-414.
    16. Curado, Manuel & Rodriguez, Rocio & Tortosa, Leandro & Vicent, Jose F., 2022. "Anew centrality measure in dense networks based on two-way random walk betweenness," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    17. Li, Chun-Hsien, 2015. "Dynamics of a network-based SIS epidemic model with nonmonotone incidence rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 234-243.
    18. Bian, Tian & Hu, Jiantao & Deng, Yong, 2017. "Identifying influential nodes in complex networks based on AHP," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 422-436.
    19. Wang, Haiying & Wang, Jun & Small, Michael & Moore, Jack Murdoch, 2019. "Review mechanism promotes knowledge transmission in complex networks," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 113-125.
    20. Duan-Bing Chen & Hui Gao & Linyuan Lü & Tao Zhou, 2013. "Identifying Influential Nodes in Large-Scale Directed Networks: The Role of Clustering," PLOS ONE, Public Library of Science, vol. 8(10), pages 1-10, October.
    21. Juang, Jonq & Liang, Yu-Hao, 2015. "Analysis of a general SIS model with infective vectors on the complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 382-395.
    22. Huo, Hai-Feng & Cui, Fang-Fang & Xiang, Hong, 2018. "Dynamics of an SAITS alcoholism model on unweighted and weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 249-262.
    23. Linyuan Lü & Yi-Cheng Zhang & Chi Ho Yeung & Tao Zhou, 2011. "Leaders in Social Networks, the Delicious Case," PLOS ONE, Public Library of Science, vol. 6(6), pages 1-9, June.
    24. Li, Qi & Cheng, Le & Wang, Wei & Li, Xianghua & Li, Shudong & Zhu, Peican, 2023. "Influence maximization through exploring structural information," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    25. Wang, Jia-Zeng & Qian, Min & Qian, Hong, 2012. "Circular stochastic fluctuations in SIS epidemics with heterogeneous contacts among sub-populations," Theoretical Population Biology, Elsevier, vol. 81(3), pages 223-231.

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