| dc.description.abstract | The spread of HIV/AIDS remains a major concern to public health enthusiasts
world over. In spite of interventions such as medical male circumcision,
condom use, treatment using Antiretroviral Therapy (ART), as
well as use of Pre-Exposure Prophylaxis, the number of new HIV/AIDS
infections in Sub-Sahara Africa remains high. This may be attributed
to factors such as PrEP failure and inconsistency in condom use especially
among the high risk group. The e ectiveness of condoms depends
on quality and proper use, while the success of ART largely depends on
adherence. Mathematical models for these interventions exist in literature.
However the challenges associated with the use of a single approach
consequently necessitate the use of dual protection for better outcome
against infection especially for the high risk population. In this study, a
mathematical model for dual protection, incorporating PrEP and Condom
use, and ART adherence is formulated, based on a system of ordinary
di erential equations and analyzed. The results obtained from stability
analysis indicate that provided the basic reproductive number (R0) is less
than unity, the disease free equilibrium point is both locally and globally
asymptotically stable, while provided that R0 is greater than unity,
the endemic equilibrium point is locally asymptotically stable. Sensitivity
analysis showed that the most sensitive parameter is 1, the mean contact
rate with undiagnosed infectives. Numerical simulation results revealed
that dual protection and ART adherence are key in the ght against the
spread of HIV among the high risk population. These ndings will help in
reducing the number of new HIV infections as well as lower the infectivity
of those who are already infected. | en_US |
