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Stochastic epidemic model on a simplicial complex

Author

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  • Palafox-Castillo, Gerardo
  • Berrones-Santos, Arturo

Abstract

Complex networks with pairwise connections have been vastly used for the modeling of interactions within systems. Although these type of models are capable of capturing rich structures and different phases within a great variety of situations, their lack of explicit higher order interactions might result, in some contexts, limited. In this work a stochastic epidemic model on a simplicial complex is defined, generalizing the known Markovian SIR epidemic process on networks. The stochastic microscopic process is studied by direct simulations and a homogeneous mean field description is developed. The simple dissipative SIR infection dynamics permits a thorough characterization of the epidemic for arbitrarily high order interactions.

Suggested Citation

  • Palafox-Castillo, Gerardo & Berrones-Santos, Arturo, 2022. "Stochastic epidemic model on a simplicial complex," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    • Handle: RePEc:eee:phsmap:v:606:y:2022:i:c:s0378437122006574
    DOI: 10.1016/j.physa.2022.128053
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    References listed on IDEAS

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    1. Xu, Ting & Zhang, Juping & Jin, Zhen, 2025. "Analysis of final size and peak time for SIR epidemic model on simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    2. Wang, Ruijie & Chen, Xiaolong & Wang, Jun & Chen, Rui & Li, Aimin & Cai, Shimin, 2026. "Nonlinear dynamics of epidemic spreading with awareness-regulated resource allocation in simplicial complexes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 681(C).

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