https://doi.org/10.1140/epjp/s13360-025-07027-z
Regular Article
Computational model on viral load dynamics in response to COVID-19 infection in a cell
Department of Mathematics, Shri P.N. Pandya Arts, M.P. Pandya Science & Smt. D.P. Pandya Commerce College, Shri Govind Guru University, 389230, Godhra, Lunawada, Gujarat, India
a
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Received:
6
September
2025
Accepted:
3
November
2025
Published online:
13
November
2025
Abstract
In this paper, we explore the mathematical modeling on viral load of COVID-19 virus within-host cell. The COVID-19 viral kinetics is the key interest to emphasize the disease growth in a true manner. In this study, a system of nonlinear differential equation model is developed on viral kinetics of SARS-CoV-2. The model is analyzed with several parameters as well as some vital properties like non-negativity, boundedness, basic reproduction number, phase plane, and sensitivity on 
are explored. These properties help us to emphasize the viral load in cell and infection among the individuals. Further, we have estimated the parameters involved in the model. The model is fitted well with viral load data of 17 studies, 737 serial measurements out of 2172 for 605 patients across the globe. The model is reminiscent for timely forecasting about disease infection and have enough potential to elaborate the disease severity. The present study will surely be helpful to medical science community for finding the perfect cure, and to policymakers for implementing necessary interventions against the combat of COVID-19 disease.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
