An Age-Structured Model for COVID-19 Hospitalization Rate

In this study, an age-structured framework is developed to model post-pandemic COVID-19 hospitalization rates. A partial differential equation (PDE) incorporating age-specific information is first formulated and analyzed. Based on this PDE, a physics-informed neural network (PINN) is constructed and calibrated using real-world data. Through this integration, mathematical rigor is combined with the adaptability of machine learning (ML), resulting in an interpretable approach that leverages physical principles while reducing the opacity typically associated with ML-based models.

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Publication Details

Journal
Mathematics
Published
2025-12-24
DOI
https://doi.org/10.3390/math14010058
Primary Topic
Model Reduction and Neural Networks
Type
article
Field-Weighted Citation Impact
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article

An Age-Structured Model for COVID-19 Hospitalization Rate

Min Wang, Lingju Kong, Ryan Z. Shi
Mathematics
Model Reduction and Neural Networks
article

An Age-Structured Model for COVID-19 Hospitalization Rate

Min Wang, Lingju Kong, Ryan Z. Shi
article en

Abstract

In this study, an age-structured framework is developed to model post-pandemic COVID-19 hospitalization rates. A partial differential equation (PDE) incorporating age-specific information is first formulated and analyzed. Based on this PDE, a physics-informed neural network (PINN) is constructed and calibrated using real-world data. Through this integration, mathematical rigor is combined with the adaptability of machine learning (ML), resulting in an interpretable approach that leverages physical principles while reducing the opacity typically associated with ML-based models.

MathematicsVol. 14(1)
Kennesaw State University (US), University of Tennessee at Chattanooga (US)
Good health and well-being
Openalex Percentile: Top 31%
Model Reduction and Neural Networks
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