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Analysis of final size and peak time for SIR epidemic model on simplicial complexes

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  • Xu, Ting
  • Zhang, Juping
  • Jin, Zhen

Abstract

The Susceptible–Infected–Recovered (SIR) epidemic model based on a simplicial complex is investigated, incorporating higher-order network topology and nonlinear incidence rates. We derive theoretical results for the basic reproduction number, the final size, and the epidemic peak of the mean-field model. Furthermore, we provide a theoretical estimate for the peak time of an epidemic. Numerical simulations reveal that higher-order interactions significantly impact the dynamics of epidemic transmission. Specifically, as the strength of higher-order interactions increases, both the final size and the epidemic peak heighten, while the peak time is shortened. These findings highlight the importance of considering higher-order structures in modeling epidemic spread.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:196:y:2025:i:c:s0960077925004035
    DOI: 10.1016/j.chaos.2025.116390
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    References listed on IDEAS

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    1. 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).
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