Details

Autor(en) / Beteiligte

• Beler, Ayşe
• Özaltun Şimşek, Gökçe
• Gümgüm, Sevin

Titel

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

Ist Teil von

• Mathematics and computers in simulation, 2023-07, Vol.209, p.205-219

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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. •This is the first implementation of the Laguerre wavelet method to the model.•Comparison of our results with other methods shows that they are highly accurate.•Error analysis is given in detail for many problem variables.•Implementation of the method is easy and computationally effective.•We investigate the influence of the variables for both models and for more variables.