Numerical solutions of the HIV infection model of CD4(+) cells by Laguerre wavelets

Ayşe Beler, Gökçe Özaltun Şimşek and Sevin Gümgüm

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 209, issue C, 205-219

Abstract: In this study, we analyze the numerical solutions of the Human Immunodeficiency Virus (HIV) infection on helper T cells by using the Laguerre wavelet method. Our goal is to find accurate approximate results of the models that measure the number of helper infected and uninfected T cells as well as the number of free virus particles at a given time. We present two different models which are governed by three first order nonlinear differential equations with different parameters. We include an error analysis in order to compare the results with other methods available in the literature, and observe that the Laguerre wavelet method gives highly accurate results, is very easy to implement, hence efficient, in the solution of the type of problems indicated.

Keywords: Laguerre wavelets; HIV infection modeling; System of nonlinear differential equations (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:209:y:2023:i:c:p:205-219

DOI: 10.1016/j.matcom.2023.02.016

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