Journal of Fundamental Mathematics and Applications (JFMA)
Vol 6, No 1 (2023)

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

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

Article Info

Publish Date
02 Jul 2023

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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Journal Info
Journal of Fundamental Mathematics and Applications (JFMA)
Website

Abbrev

jfma

Publisher

Universitas Diponegoro

Subject

Decision Sciences, Operations Research & Management

Description

Journal of Fundamental Mathematics and Applications (JFMA) is an Indonesian journal published by the Department of Mathematics, Diponegoro University, Semarang, Indonesia. JFMA has been published regularly in 2 scheduled times (June and November) every year. JFMA is established to highlight the ...