Estimating the time-dependent contact rate of SIR and SEIR models in mathematical epidemiology using physics-informed neural networks

DOI10.1553/etna_vol56s1zbMath1478.92193OpenAlexW3090437582MaRDI QIDQ2071475

Viktor Grimm, Janine Weber, Martin Lanser, Axel Klawonn, Alexander Heinlein

Publication date: 28 January 2022

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2021-2030/vol56/abstract.php?vol=56&pages=1-27

zbMATH Keywords

parameter estimationmachine learningSEIR modelSIR modelepidemic modelingCOVID-19physics-informed neural networksSARS-CoV-2scientific machine learning

Mathematics Subject Classification ID

Epidemiology (92D30) Artificial neural networks and deep learning (68T07) Computational methods for problems pertaining to biology (92-08) Numerical solution of inverse problems involving ordinary differential equations (65L09) Computational aspects of data analysis and big data (68T09)

Related Items (2)

Surrogate convolutional neural network models for steady computational fluid dynamics simulations ⋮ PINN training using biobjective optimization: the trade-off between data loss and residual loss

Uses Software

• SciPy
• Python
• TensorFlow
• DiffSharp
• bootstrap
• Adam

Cites Work

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• An introduction to mathematical modeling of infectious diseases
• Numerical data fitting in dynamical systems. A practical introduction with applications and software. With CD-ROM
• Early stage COVID-19 disease dynamics in Germany: models and parameter identification
• nPINNs: nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications
• Conservative physics-informed neural networks on discrete domains for conservation laws: applications to forward and inverse problems
• Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
• The Mathematics of Infectious Diseases
• Compartmental Models in Epidemiology
• Mathematical Models in Epidemiology

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