Susceptible infected AIDS treatment (SIAT) model

• Published in: IOP conference series. Earth and environmental science 2019-04, Vol.243 (1), p.12047
• Main Authors: Widyaningsih, P, Zahra, U U, Kurniawan, V Y, Sutanto, Saputro, D R S
• Format: Article
• Language: English
• Subjects: Acquired immune deficiency syndrome; AIDS; Antiretroviral agents; Antiretroviral therapy; Disease control; Disease spread; Drug therapy; HIV; Human immunodeficiency virus; Immune system; Infectious diseases; Mathematical models; Nonlinear differential equations; Therapy; Viruses
• ISSN: 1755-1307; 1755-1315; 1755-1315
• DOI: 10.1088/1755-1315/243/1/012047

HIV is an infectious disease caused by Human Immunodeficiency Virus. This virus attacks the immune system. A person who has been infected will gradually become AIDS. Mathematical modeling to elaborate the spread of HIV/AIDS disease has been described through susceptible infected AIDS (SIA) model which classifies the population into three compartments, ie compartment of individuals susceptible to disease (S), compartment of HIV infected individuals (I), and compartment of individuals AIDS (A). Until now HIV/AIDS disease cannot be cured, but patients can undergo antiretroviral (ARV) therapy to reduce the growth of virus in the body. People who undergo antiretroviral therapy are classified into treatment individuals (T). The spread of HIV/AIDS with treatment can be represented in SIAT model. The purposes of this research are to formulate the SIAT model, apply the model in Indonesia, determine the pattern of disease spread, and know the role of 90-90-90 programme in controlling the spread of HIV/AIDS disease. The SIAT model is a first order nonlinear differential equation system. Based on the implementation, it's estimated that by 2030 there will be 1706630 people with HIV and 1432720 people who undergo antiretroviral therapy. Based on the simulation, the 90-90-90 programme have an important role in controlling the spread of HIV/AIDS disease.