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All Journal Jambura Journal of Biomathematics (JJBM)
Yunus, Akeem Olanrewaju
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Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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Mathematical Analysis of Sensitive Parameters on the Dynamical Transmission of HIV-Malaria Co-infection Oladapo, Asimiyu Olalekan; Olayiwola, Morufu Oyedunsi; Adedokun, Kamilu Adewale; Adedapo, Adedapo Ismaila; Adedeji, Joseph Adeleke; Kabiru, Kareem Oyeleye; Yunus, Akeem Olanrewaju
Jambura Journal of Biomathematics (JJBM) Volume 4, Issue 1: June 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v4i1.18972

Abstract

Malaria disease increases the mortality rate of HIV patients. In this work, a mathematical model incorporating an infected, undetected, and treated set of people was developed. The analysis showed that the model is well-posed, the disease-free equilibrium for the model was obtained, and the basic reproduction number of the HIV-malaria co-infection model was calculated. The 14 compartmental models were analyzed for stability, and it was established that the disease-free equilibrium of each model and their co-infections were locally and globally asymptotically stable whenever the basic reproduction number was less than unity or endemic otherwise. Based on the sensitivity analysis, the parameter that has the greatest impact is the contact rate; therefore, it is recommended for public health policies aimed at reducing the burden of these diseases in co-endemic regions.
Co-Authors Adedapo, Adedapo Ismaila Adedeji, Joseph Adeleke Adedokun, Kamilu Adewale Kabiru, Kareem Oyeleye OLADAPO, Asimiyu Olalekan Olayiwola, Morufu Oyedunsi