Open AccessControl strategy of HIV/AIDS model with different stages of infection of subpopulation
Author(s) -
Ummu Habibah,
Trisilowati,
Tryna Tania,
Labib Umam Al-Faruq
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1872/1/012034
Subject(s) - human immunodeficiency virus (hiv) , antiretroviral therapy , optimal control , antiretroviral treatment , control (management) , immunology , medicine , virology , mathematical optimization , control theory (sociology) , computer science , mathematics , viral load , artificial intelligence
We formulated mathematical model of HIV/AIDS with two different stages of infection subpopulation with Antiretroviral (ARV) treatment as control strategy. We applied optimal control theory to minimize HIV-infected subpopulation using the Pontryagins-Minimum Principle. Numerical solution was conducted by solving the optimally system using the sweep backward and forward method. The results showed that by giving ARV in the model could decrease the infected subpopulation significantly.