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Stochastic simplicial contagion model

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  • Serrano, Daniel Hernández
  • Villarroel, Javier
  • Hernández-Serrano, Juan
  • Tocino, Ángel

Abstract

We propose a stochastic model that describes of epidemics over simplicial complex networks (SSCM) in which higher-order unforeseen or random interactions may occur. Its dynamics obeys a stochastic differential equation (SDE) based on the mean field approach of the simplicial social contagion model. In this stochastic regime the only possible equilibrium state is the origin. We give conditions to guarantee global stability and hence that the disease dies out. We partition the parameter space into the instability, the bi-stability and the globally asymptotically stable regions described in terms of appropriate epidemiological parameters. These regimes codify whether the disease will, can or will not disappear. We also present empirical results obtained by running different simulations of the SSCM over several real-world simplicial networks and over a synthetically generated one, which validate the theoretical results presented.

Suggested Citation

  • Serrano, Daniel Hernández & Villarroel, Javier & Hernández-Serrano, Juan & Tocino, Ángel, 2023. "Stochastic simplicial contagion model," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    • Handle: RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922011870
    DOI: 10.1016/j.chaos.2022.113008
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    References listed on IDEAS

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    Cited by:

    1. Li, Wenjie & Li, Jiachen & Nie, Yanyi & Lin, Tao & Chen, Yu & Liu, Xiaoyang & Su, Sheng & Wang, Wei, 2024. "Infectious disease spreading modeling and containing strategy in heterogeneous population," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    2. Li, Shuyu & Li, Xiang, 2023. "Influence maximization in hypergraphs: A self-optimizing algorithm based on electrostatic field," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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