DOI: https://doi.org/10.14710/jfma.v6i1.17174

FRACTIONAL MATHEMATICAL MODEL OF HIV AND CD4+ T-CELLS INTERACTIONS WITH HAART TREATMENT

*Muhammad Rifki Nisardi orcid  -  Department of Actuarial Science, Univesitas Muhammadiyah Bulukumba, Jl Poros Bulukumba - Bantaeng, Km. 9, Kabupaten Bulukumba, Indonesia., Indonesia
Kasbawati Kasbawati  -  Department of Mathematics, Universitas Hasanuddin Makassar, Indonesia
Restu Ananda Putra  -  Department of Mathematics, Universitas Gajah Mada Yogyakarta, Indonesia

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Abstract

This study provides the mathematical model of the interaction between the HIV and CD4+ T cells. This research develops other research by formulating a model with the fractional Caputo derivative approach with fractional order α. Based on the model, we obtain the equilibrium point and analyze the stability criterion of the equilibrium point. Furthermore, we perform the Next Generation Matrix method to calculate the basic reproduction number. Then, we apply the Grunwald-Letnikov Explicit method to show the numerical result of the model.

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Keywords: : HIV-Model; Fractional Order; Basic Reproduction Number; Grunwald-Letnikov Method.

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
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