Abstract

HIV is a retrovirus, a virus which has enzymes and can convert genetic material from RNA to DNA. Antiretroviral therapies are the treatment to make the activity of the virus slow. The purpose of this article is to develop a mathematical model of HIV infection by reviewing antiretroviral therapy, analyze the equilibrium point, and determine the effectiveness of antiretroviral therapy. There are two equilibrium points in this HIV infection model, namely infection-free equilibrium and infected equilibrium. Numerical simulations are carried out based on selected parameters showed that infection free equilibrium is reached when the effectiveness of antiretroviral therapy is 0,4 for RT inhibitor and 0,3 for Protease Inhibitor. This means that antiretroviral therapy may change infected conditions to infection free conditions.

Highlights

  • Human immunodeficiciency virus (HIV) is a retrovirus, a virus which has enzymes and can convert genetic material from RNA to DNA

  • the treatment to make the activity of the virus slow. The purpose of this article is to develop a mathematical model of HIV infection by reviewing antiretroviral therapy

  • Numerical simulations are carried out based on selected parameters showed that infection

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Summary

Pendahuluan

Human immunodeficiciency virus (HIV) menyebar dengan cepat ke setiap sudut dunia sejak penemuan AIDS pada tahun 1981 yang menyebabkan ancaman serius bagi kesehatan manusia. CTL adalah respon imun utama dalam tubuh manusia, oleh karena itu, CTL memainkan peran penting dalam penekanan HIV dengan membunuh sel-T yang terinfeksi virus[4]. Pemodelan matematika dinyatakan sebagai suatu konstruksi matematis untuk memahami suatu fenomena yang terjadi dalam kehidupan kita, salah satunya untuk mengetahui penyebaran infeksi virus HIV. Model dasar infeksi HIV dirumuskan oleh Wodarz dkk pada tahun 2000. Beberapa peneliti matematika yang mengembangkan model infeksi HIV adalah Wodarz., dkk pada tahun 2007 [5], Huang, dkk pada tahun 2015 [3], dan Wang.Y, dkk pada tahun 2017 [4]. Karena setiap kelas obat dirancang untuk menargetkan langkah dalam siklus hidup HIV, sehingga ART diangggap efektif untuk mencegah penyebaran virus [2]. Model matematika infeksi pnyakit HIV akan dikembangkan dengan mempertimbangkan pengaruh terapi antiretroviral

Model Matematika Infeksi HIV
Titik Kesetimbangan
Bilangan Reproduksi Dasar
Analisis Kestabilan Titik Kesetimbangan
Simulasi Numerik
Kesimpulan

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