Optimal Control Analysis of Effect of HAART On Immune Cells Against HIV Infection. Advances in Mathematics
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Advances in Mathematics Scientific Journal 7 (2), 89–107
Abstract
A non-linear deterministic mathematical model for the transmission dynamics
of HIV infection within the body system of an infected individual was formulated for
analysis. Multiplication of the virus at the detriment of the immune system of the body
(notably the CD4-T-cells and Macrophages) is the effect of introduction of small amount
of the virus into the body system of previously susceptible individual. The study aimed at
looking into the effect of education, early diagnosis of the infection through proper screening
and early treatment of the body as a means of helping the body to stay healthier for a
longer period of time. The model developed was analysed for existence of solution, equilibria
states (Infection Free Equilibrium I.F.E and Endemic State Equilibrium E.S.E). Local
and Global Analysis of the effective reproduction number was done and the result shows
that I.F.E is both locally and globally stable if R0 < 1 otherwise the infection spreads in
the body. The optimal effect of using Highly Active Anti-Retrovirus Therapy (HAART) as
an improved means to ART was considered. The result show that HAART is capable of
removing the infected cells quicker thereby reducing the viral burden of the infection in
the immune system.
Description
Keywords
HAART, Optimal Control, Reproduction Number, Infection Free Equilibrium, Endemic State Equilibrium
Citation
8. O. Odetunde, J. Lawal, H. O. Edogbanya and M. O. Ibrahim (2018). Optimal Control Analysis of Effect of HAART on Immune Cells Against HIV Infection. Advances in Mathematics: Scientific Journal 7 (2), 89–107