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Assessment of COVID-19 hospitalization forecasts from a simplified SIR model

Applications 2021-10-12 v2 Machine Learning Dynamical Systems

Abstract

We propose the SH model, a simplified version of the well-known SIR compartmental model of infectious diseases. With optimized parameters and initial conditions, this time-invariant two-parameter two-dimensional model is able to fit COVID-19 hospitalization data over several months with high accuracy (e.g., the root relative squared error is below 10% for Belgium over the period from 2020-03-15 to 2020-07-15). Moreover, we observed that, when the model is trained on a suitable three-week period around the first hospitalization peak for Belgium, it forecasts the subsequent two months with mean absolute percentage error (MAPE) under 4%. We repeated the experiment for each French department and found 14 of them where the MAPE was below 20%. However, when the model is trained in the increase phase, it is less successful at forecasting the subsequent evolution.

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Cite

@article{arxiv.2007.10492,
  title  = {Assessment of COVID-19 hospitalization forecasts from a simplified SIR model},
  author = {P. -A. Absil and Ousmane Diao and Mouhamadou Diallo},
  journal= {arXiv preprint arXiv:2007.10492},
  year   = {2021}
}

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Paper home page: https://sites.uclouvain.be/absil/2020.05