TY - GEN
T1 - Mathematical models for the dynamics of the HIV with antiretroviral treatment interventions and the effect of apoptosis on T-cells
AU - Rizal, Ahmad
AU - Handari, Bevina D.
AU - Aldila, Dipo
AU - Rahmayani, Shinta A.
N1 - Funding Information:
This research is financially supported by PITTA research grant 2018, ID 2251/UN2.R3.1/HKP.05.00/2018, Universitas Indonesia.
Publisher Copyright:
© 2020 American Institute of Physics Inc.. All rights reserved.
PY - 2020/9/22
Y1 - 2020/9/22
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85092594648&partnerID=8YFLogxK
U2 - 10.1063/5.0023444
DO - 10.1063/5.0023444
M3 - Conference contribution
AN - SCOPUS:85092594648
T3 - AIP Conference Proceedings
BT - Symposium on Biomathematics 2019, SYMOMATH 2019
A2 - Apri, Mochamad
A2 - Akimenko, Vitalii
PB - American Institute of Physics Inc.
T2 - Symposium on Biomathematics 2019, SYMOMATH 2019
Y2 - 25 August 2019 through 28 August 2019
ER -
