The Dynamic of Heterosexual Transmission of HIV-AIDS Model with Treatment

K. A. Bashiru; T. A. Ojurongbe; M. Lawal

doi:10.53704/fujnas.v6i2.150

Authors

K. A. Bashiru Department of Mathematical Sciences, Osun State University
T. A. Ojurongbe Department of Mathematical Sciences, Osun State University
M. Lawal Department of Mathematical and Computer Sciences, Fountain University, Osogbo, Nigeria

DOI:

https://doi.org/10.53704/fujnas.v6i2.150

Abstract

A Mathematical Model of HIV/AIDS with Heterosexual transmission in the presence of treatment was examine in this paper, it ascertained the impact of treated individuals on the transmission dynamics of HIV/AIDS. Equilibrium points of the model system were found, stability analysis and numerical simulation were carried out, it was discovered that HIV/AIDS can die out with test of time as Ro < 1 . It was observed that the model had a disease free equilibrium which was asymptotically stable for Ro < 1 and unstable for Ro > 1. Graphical representations of the numerical analysis showing the effect of treatment on the model were also presented.

Keywords: HIV/AIDS, Heterosexual Transmission, ARVs, Compartmental model, Disease Free and Endemic equilibrium, Treatment, and Basic Reproductive Number

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