Open AccessSTABILITY ANALYSIS OF A STAGED PROGRESSION HIV/AIDS MODEL WITH SCREENING AND CONDOM USAGE
Author(s) -
Muhammad B Aminu,
Mohammed Olanrewaju Ibrahim,
Akif Mustafa,
Ibrahim Abdullahi
Publication year - 2021
Publication title -
journal of mathematical sciences and computational mathematics
Language(s) - English
Resource type - Journals
eISSN - 2688-8300
pISSN - 2644-3368
DOI - 10.15864/jmscm.2208
Subject(s) - condom , medicine , asymptomatic , transmission (telecommunications) , human immunodeficiency virus (hiv) , demography , immunology , computer science , telecommunications , syphilis , sociology
In this Paper, a staged-progression model for HIV/AIDS transmission dynamics is formulated and analyzed to study the impact of Screening, Condom usage and Condom compliance. The local stability for the disease free equilibrium (DFE) was proved for Rc < 1 and Kransnoselki sublinearity trick was used to show that the endemic equilibrium (EE) is locally asymptotically stable for a special case whenever Rc > 1. Numerical simulation was also carried out to investigate the effects of screening unaware (unscreened) asymptomatic individuals and Condom compliance. The result shows the influence of condom compliance and screening on the transmission dynamics of HIV/AIDS. The result clearly shows that increase in the compliance of Condom usage and increase of screening rate of HIV individuals reduces the total number of HIV/AIDS individuals. This point that increase in Condom usage and screening reduces HIV/AIDS burden.