Stability Analysis of HIV/AIDS Epidemic Model in the Presence of Vertical Transmission and Treatment

Authors

  • K.A, Bashiru Department of Statistics, Osun State University, Osogbo, Nigeria
  • T.A Ojurongbe
  • M.K. Kolawole Department of Mathematics, Osun State University, Osogbo, Nigeria
  • O.O Aduroja Department of Mathematics, University of Ilesha, Nigeria
  • M.L Olaosebikan Department of Mathematics, Osun State University, Osogbo, Nigeria
  • N.O Adeboye Department of Statistics, Osun State University, Osogbo, Nigeria
  • H.A. Afolabi Department of Statistics, Osun State University, Osogbo, Nigeria

DOI:

https://doi.org/10.36108/ujees/3202.50.0141

Keywords:

HIV/AIDS,, Vertical transmission, Basic reproductive number,, Local Stability, Enlightenment campaign

Abstract

HIV/AIDS is a serious health problem that continues to present a significant health concern in underdeveloped nations and may be mostly brought on via unprotected sex. This study is designed and analyzed using a dynamic modeling approach to investigate the dynamic of HIV/AIDS model with vertical transmission and the impact of knowledge on its treatment. Our proposed model exhibit disease free and the endemic equilibrium. The uniqueness and the exactness of the model were investigated and the basic reproduction number using next generation matrix was obtained, Stability analysis was also carried out. The model analysis shows that the disease free equilibrium is locally asymptomatically stable (LAS) when 1 0 R  . Our research suggests that treatment and awareness campaigns, when combined with other crucial control measures, may help keep the HIV/AIDS virus from spreading.

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Published

2025-11-21

Issue

Vol. 5 No. 1 (2023): Volume 5, Number 1, 2023

Section

Articles