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An SIR Model with Two Kinds of Local Information Based Behavioral Responses in Complex Network

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Artificial Intelligence and Security (ICAIS 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13339))

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Abstract

This paper proposes a novel Susceptible-Infected-Recovered (SIR) model by introducing two kinds of local information from Infected node (I) and Recovered node (R). The Susceptible nodes (S) will take two kinds of individual actions after accepting the information, which will reduce the infection rate. The infection rate for each node S is a function of the number of its infected neighbors and recovered neighbors, thus leading to the heterogeneous and time-varying infection rate because of the nodes’ differences. This paper provides a theoretical formula for the epidemic threshold by cave theory. Simulation results show that the intermediate degree nodes are the most susceptible nodes. The information from node I causes lager influence on the epidemic spreading. Also, it calculates the epidemic threshold by mean field. Through simulation and theoretical analysis, it proves that mean field is not the best method when considering the difference of each node.

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Author information

Authors and Affiliations

  1. School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Yuhang Zhang, Jie Xu, Chengyi Gao, Guanghui Su, Fan Yang, Shuang Zhou, Jiaying Li & Yuren Feng

Authors
  1. Yuhang Zhang
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  2. Jie Xu
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  3. Chengyi Gao
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  4. Guanghui Su
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  5. Fan Yang
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  6. Shuang Zhou
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  7. Jiaying Li
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  8. Yuren Feng
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Corresponding author

Correspondence to Jie Xu .

Editor information

Editors and Affiliations

  1. Nanjing University of Information Science and Technology, Nanjing, China

    Xingming Sun

  2. Nanjing University of Information Science and Technology, Nanjing, China

    Xiaorui Zhang

  3. Jinan University, Guangzhou, China

    Zhihua Xia

  4. Purdue University, West Lafayette, IN, USA

    Elisa Bertino

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Zhang, Y. et al. (2022). An SIR Model with Two Kinds of Local Information Based Behavioral Responses in Complex Network. In: Sun, X., Zhang, X., Xia, Z., Bertino, E. (eds) Artificial Intelligence and Security. ICAIS 2022. Lecture Notes in Computer Science, vol 13339. Springer, Cham. https://doi.org/10.1007/978-3-031-06788-4_50

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  • DOI: https://doi.org/10.1007/978-3-031-06788-4_50

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-06787-7

  • Online ISBN: 978-3-031-06788-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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