Mathematical model for HIV spreads control program with ART treatment

Maimunah, Dipo Aldila

Research output: Contribution to journalConference articlepeer-review

10 Citations (Scopus)

Abstract

In this article, using a deterministic approach in a seven-dimensional nonlinear ordinary differential equation, we establish a mathematical model for the spread of HIV with an ART treatment intervention. In a simplified model, when no ART treatment is implemented, disease-free and the endemic equilibrium points were established analytically along with the basic reproduction number. The local stability criteria of disease-free equilibrium and the existing criteria of endemic equilibrium were analyzed. We find that endemic equilibrium exists when the basic reproduction number is larger than one. From the sensitivity analysis of the basic reproduction number of the complete model (with ART treatment), we find that the increased number of infected humans who follow the ART treatment program will reduce the basic reproduction number. We simulate this result also in the numerical experiment of the autonomous system to show how treatment intervention impacts the reduction of the infected population during the intervention time period.

Original languageEnglish
Article number012035
JournalJournal of Physics: Conference Series
Volume974
Issue number1
DOIs
Publication statusPublished - 22 Mar 2018
Event3rd International Conference on Mathematics: Pure, Applied and Computation, ICoMPAC 2017 - Surabaya, Indonesia
Duration: 1 Nov 20171 Nov 2017

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