Mathematical models for the dynamics of the HIV with antiretroviral treatment interventions and the effect of apoptosis on T-cells

Ahmad Rizal, Bevina D. Handari, Dipo Aldila, Shinta A. Rahmayani

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The development of HIV, when evaluated in vivo can be modeled into a system of ordinary differential equations using a deterministic approach. Until now, there is no medicine to cure HIV infection, but there is a treatment that can slow the progression of HIV in the body called Antiretroviral Treatment. The development of HIV, when evaluated in vivo can be modeled into a system of ordinary differential equations using a deterministic approach. In this paper, a mathematical model be formed for the dynamics of HIV in the body with the intervention of Antiretroviral Treatment and take into account the influence of Apoptosis on T-cells. The dynamical system analysis of the model is derived by determining the stability of infectious free equilibrium point and endemic equilibrium point using the Routh-Hurwitz criterion. Numerical simulations are performed to analyze the effects of Antiretroviral Treatment intervention and the impact of Apoptosis on T-cells in inhibiting HIV progression.

Original languageEnglish
Title of host publicationSymposium on Biomathematics 2019, SYMOMATH 2019
EditorsMochamad Apri, Vitalii Akimenko
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735420243
DOIs
Publication statusPublished - 22 Sep 2020
EventSymposium on Biomathematics 2019, SYMOMATH 2019 - Bali, Indonesia
Duration: 25 Aug 201928 Aug 2019

Publication series

NameAIP Conference Proceedings
Volume2264
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceSymposium on Biomathematics 2019, SYMOMATH 2019
Country/TerritoryIndonesia
CityBali
Period25/08/1928/08/19

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