Comparatively, HIV like most viruses is very minute, unadorned organism which cannot
reproduce unaided. It remains the most deadly disease which has ever hit the planet
since the last three decades. The spread of HIV has been very explosive and
mercilessly on human population. It has tainted over 60 million people, with almost half
of the human population suffering from AIDS related illnesses and death finally. Recent
theoretical and computational breakthroughs in delay differential equations declare that,
delay differential equations are proficient in yielding rich and plausible dynamics with
reasonable parametric estimates.
This paper seeks to unveil the niche of delay differential equation in harmonizing low
HIV viral haul and thereby articulating the adopted model, to delve into structured
treatment interruptions. Therefore, an ordinary differential equation is schemed to
consist of three components such as untainted CD4+ T-cells, tainted CD4+ T-cells (HIV)
and CTL. A discrete time delay is ushered to the formulated model in order to account
for vital components, such as intracellular delay and HIV latency which were missing in
previous works, but have been advocated for future research. It was divested that when
the reproductive number was less than unity, the disease free equilibrium of the model
was asymptotically stable. Hence the adopted model with or without the delay
component articulates less production of virions, as per the decline rate. Therefore
CD4+ T-cells in the blood remains constant at 𝛿1/𝛿3, hence declining the virions level in
the blood. As per the adopted model, the best STI practice is intimated for compliance. / Mathematical Sciences / Ph.D. (Applied Mathematics)
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:unisa/oai:uir.unisa.ac.za:10500/26903 |
| Date | 09 1900 |
| Creators | Owusu, Frank K. |
| Contributors | Doungmo Goufo, Emile Franc |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | 1 0nline resource (xv, 105 leaves) : color illustrations, application/pdf |
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