A Mathematical Model for the Transmission of HIV/AIDS with Early Treatment
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Advances in Mathematics and Computer Science
Abstract
In this paper, a mathematical model for the transmission of HIV/AIDS with early treatment is developed and
analyzed to gain insight into early treatment of HIV/AIDS and other epidemiological features that cause the
progression from HIV to full blown AIDS. We established the basic reproduction number which is the
average number of new secondary infection generated by a single infected individual during infectious
period. The analysis shows that the disease free equilibrium is locally and globally asymptotically stable
whenever the threshold quantity is less than unity i.e. Numerical analysis shows that the early treatment of
latently infected individuals reduces the dynamical progression to full blown AIDS. The result also showed
that immunity boosted substances increase the red blood cells, sensitivity analysis of basic reproduction
number with respect to parameters showed that effective contact rate must not exceed 0.3 to avoid endemic
stage.
Description
Staff Publication
Keywords
HIV/AIDS;, treatment;, reproduction number;, equilibrium points and, stability.