STABILITY ANALYSIS OF A STAGED PROGRESSION HIV/AIDS MODEL WITH SCREENING AND CONDOM USAGE

Autor: M. Aminu, M.O. Ibrahim, I Abdullahi, A. Mustafa
Rok vydání: 2021
Předmět:
Zdroj: Journal of Mathematical Sciences & Computational Mathematics. 2:287-304
ISSN: 2688-8300
Popis: 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.
Databáze: OpenAIRE