Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal TRANSPUBLIKA INTERNATIONAL RESEARCH IN EXACT SCIENCES (TIRES)
Salahu, Wasiu Omotayo
Unknown Affiliation
Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Mathematics Physics

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
MATHEMATICAL ASSESSMENT AND STABILITY ANALYSIS OF HIV/AIDS EPIDEMIC MODEL WITH VERTICAL TRANSMISSION AND TREATMENT Adepoju, Okunloye Ayinde; Ibrahim, Hammed; Salahu, Wasiu Omotayo
TRANSPUBLIKA INTERNATIONAL RESEARCH IN EXACT SCIENCES Vol. 3 No. 4 (2024): OCTOBER
Publisher : Transpublika Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55047/tires.v3i4.1424

Abstract

This study presents a mathematical assessment of the dynamics of HIV/AIDS epidemic with vertical transmission and treatment. The well-posedness is analyzed using the theories of positivity and boundedness. Using the next generation matrix approach, the model’s basic reproduction number was obtained. The findings from the analysis also revealed that the model possesses two equilibrium points, the locally stable HIV/AIDS free equilibrium when the threshold parameter is less than unity and endemic equilibrium when R0 > 1. The impact of the parameters associated to the basic reproduction number R0 is investigated using the normalized forward sensitivity index. Furthermore, the model is expanded to incorporate time-dependent antiretroviral treatment and the use of condom. The model’s qualitative analysis is supported by numerical simulation.
Co-Authors Adepoju, Okunloye Ayinde Ibrahim, Hammed