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Generalized Pandemic Model with COVID-19 for Early-Stage Infection Forecasting

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  • Mirna Patricia Ponce-Flores

    (Departamento de Posgrado e Investigación, Facultad de Ingeniería de Tampico, Universidad Autónoma de Tamaulipas, Tampico 89336, Mexico
    These authors contributed equally to this work.)

  • Jesús David Terán-Villanueva

    (Departamento de Posgrado e Investigación, Facultad de Ingeniería de Tampico, Universidad Autónoma de Tamaulipas, Tampico 89336, Mexico
    These authors contributed equally to this work.)

  • Salvador Ibarra-Martínez

    (Departamento de Posgrado e Investigación, Facultad de Ingeniería de Tampico, Universidad Autónoma de Tamaulipas, Tampico 89336, Mexico
    These authors contributed equally to this work.)

  • José Antonio Castán-Rocha

    (Departamento de Posgrado e Investigación, Facultad de Ingeniería de Tampico, Universidad Autónoma de Tamaulipas, Tampico 89336, Mexico
    These authors contributed equally to this work.)

Abstract

In this paper, we tackle the problem of forecasting future pandemics by training models with a COVID-19 time series. We tested this approach by producing one model and using it to forecast a non-trained time series; however, we limited this paper to the eight states with the highest population density in Mexico. We propose a generalized pandemic forecasting framework that transforms the time series into a dataset via three different transformations using random forest and backward transformations. Additionally, we tested the impact of the horizon and dataset window sizes for the training phase. A Wilcoxon test showed that the best transformation technique statistically outperformed the other two transformations with 100% certainty. The best transformation included the accumulated efforts of the other two plus a normalization that helped rescale the non-trained time series, improving the sMAPE from the value of 25.48 attained for the second-best transformation to 13.53. The figures in the experimentation section show promising results regarding the possibility of forecasting the early stages of future pandemics with trained data from the COVID-19 time series.

Suggested Citation

  • Mirna Patricia Ponce-Flores & Jesús David Terán-Villanueva & Salvador Ibarra-Martínez & José Antonio Castán-Rocha, 2023. "Generalized Pandemic Model with COVID-19 for Early-Stage Infection Forecasting," Mathematics, MDPI, vol. 11(18), pages 1-18, September.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3924-:d:1240615
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    References listed on IDEAS

    as
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    Full references (including those not matched with items on IDEAS)

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