Optimal control of HIV resistance and tuberculosis co-infection using treatment intervention

Fatmawati, .- and Hengki Tasman, .- (2017) Optimal control of HIV resistance and tuberculosis co-infection using treatment intervention. Asian Pacific Journal of Tropical Disease, 7 (6). pp. 366-373. ISSN 22221808

[img] Text (Fulltext)
C16. Fulltext.pdf
Download (5MB)
[img] Text (Review dan Validasi)
C16. Reviewer dan validasi.pdf
Download (2MB)
[img] Text (Similarity)
C16. Similarity.pdf
Download (2MB)
[img] Text (Submission)
C16. Submission.pdf
Download (328kB)
Official URL: https://oaji.net/articles/2017/3556-1496971582.pdf

Abstract

In this paper we presented a mathematical model of the spread of HIV and tuberculosis (TB) co-infection considering the resistance of HIV to antiretroviral (ARV) drugs. The model also included anti-TB and ARV treatments as system control variables. For the model without controls, we investigated the existence and stability of equilibria based on three basic reproduction numbers corresponding to the TB and two strains HIV infection. We also performed sensitivity analysis to determine the dominant factor controlling the spread. Then, the optimal control condition was derived using Pontryagin Maximum Principle on the model to achieve the goal of minimizing the number of infected population. The numerical simulations of the optimal control were also performed to illustrate the results.

Item Type: Article
Uncontrolled Keywords: Tuberculosis, HIV resistance, Stability, Optimal control
Subjects: Q Science
Q Science > QA Mathematics
Q Science > QA Mathematics > QA370-387 Differential Equations
Divisions: 08. Fakultas Sains dan Teknologi > Matematika
Creators:
CreatorsNIM
Fatmawati, .-UNSPECIFIED
Hengki Tasman, .-UNSPECIFIED
Depositing User: Mr Vega Andi Budiman
Date Deposited: 22 Mar 2022 15:03
Last Modified: 22 Mar 2022 15:03
URI: http://repository.unair.ac.id/id/eprint/114281
Sosial Share:

Actions (login required)

View Item View Item