A phenomenological methodology for wave detection in epidemics

dc.contributor.authorBrettenny, Warren
dc.contributor.authorHolloway, Jenny
dc.contributor.authorFabris-Rotelli, Inger Nicolette
dc.contributor.authorDudeni-Tlhone, Nontembeko
dc.contributor.authorAbdelatif, Nada
dc.contributor.authorLe Roux, Wouter
dc.contributor.authorManjoo-Docrat, Raeesa
dc.contributor.authorDebba, Pravesh
dc.contributor.emailinger.fabris-rotelli@up.ac.za
dc.date.accessioned2026-02-17T04:31:59Z
dc.date.issued2026-03
dc.description.abstractIn both the management and modelling of epidemic outbreaks, the ability to determine the start of a wave of infections is of vital importance. Not only does this advantage the modelling of the outbreak, but, if done in real-time, can assist with a nation’s response to the disease. In this study, a bidirectional long-short-term-memory (Bi-LSTM) network is used to determine the start and end of the COVID-19 waves experienced in the district and metropolitan municipalities of Gauteng, South Africa, from 2020-2022 as well as the waves of the cholera outbreaks occurring in the Beira area of Mozambique between 1999 and 2005, in real-time. The problem of real-time scaling of the data prior to the first wave of an epidemic is addressed using globally available real-time information from first waves experienced in other countries and independent territories alongside the observed South African data. The use of the Bi-LSTM predicted starting dates is demonstrated for the second waves of COVID-19 infections experienced in Gauteng in 2020/21. Using the predicted starting dates, spatial-SEIR models are used to predict hospitalisations as a result of COVID-19 infections in each of the district and metropolitan municipalities of Gauteng. The fitted Bi-LSTM model demonstrates effectiveness in predicting the start and end dates of epidemic waves in real-time, allowing for pre-emptive disease modelling and predictions of spread. Moreover, it is shown that the use cases for the fitted model are not limited to COVID-19 studies, but can also be applied to other disease outbreaks that follow similar wave patterns.
dc.description.departmentStatistics
dc.description.embargo2026-12-19
dc.description.librarianhj2026
dc.description.sdgSDG-03: Good health and well-being
dc.description.sponsorshipFunding from the DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), South Africa. This work is partially based upon research supported by the South Africa National Research Foundation (NRF).
dc.description.urihttps://link.springer.com/journal/13370
dc.identifier.citationBrettenny, W., Holloway, J., Fabris-Rotelli, I. et al. A phenomenological methodology for wave detection in epidemics. Afrika Matematika 37, 3 (2026). https://doi.org/10.1007/s13370-025-01401-x.
dc.identifier.issn1012-9405 (print)
dc.identifier.issn2190-7668 (online)
dc.identifier.other10.1007/s13370-025-01401-x
dc.identifier.urihttp://hdl.handle.net/2263/108290
dc.language.isoen
dc.publisherSpringer
dc.rights© African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2025. The original publication is available at : https://link.springer.com/journal/13370.
dc.subjectTime series modelling
dc.subjectCOVID-19 pandemic
dc.subjectCoronavirus disease (COVID-19)
dc.subjectDisease prediction
dc.subjectWave detection
dc.subjectSpatial epidemiology
dc.titleA phenomenological methodology for wave detection in epidemics
dc.typePostprint Article

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