Mathematical Model of the Impact of Retroviral Drugs at the early stage of Infections in control program of HIV/AIDS

In this work we developed a compartmental model of HIV/AIDS. The results of this study provide some insights on the impact of early treatment on disease transmission dynamics of HIV/AIDS. The stability of the disease-free equilibrium was investigated, condition for the stability of the disease-free...

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Bibliographic Details
Published inJournal of applied mathematics and bioinformatics Vol. 9; no. 2; pp. 17 - 45
Main Authors Onyemegbulem, Bruno O, Ndam, Joel N, Asor, Vincent Ele, Aguiyi, JC
Format Journal Article
LanguageEnglish
Published Athens International Scientific Press 01.04.2019
Subjects
Acquired immune deficiency syndrome
AIDS
Antiretroviral drugs
Disease control
Disease prevention
Disease transmission
Drug therapy
Dynamic stability
Education
Equilibrium
Health surveillance
HIV
Human immunodeficiency virus
Impact analysis
Infections
Mathematical models
Parameter sensitivity
Population
Public health
Qualitative analysis
Runge-Kutta method
Sensitivity analysis
Studies
Surveillance
Africa
Kenya
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Summary:In this work we developed a compartmental model of HIV/AIDS. The results of this study provide some insights on the impact of early treatment on disease transmission dynamics of HIV/AIDS. The stability of the disease-free equilibrium was investigated, condition for the stability of the disease-free equilibrium were determined. We also carried out sensitivity analysis to determine the relevant parameter control of the disease. Furthermore, qualitative analysis of the model was investigated using Runge Kutta scheme. From our above results, we found that treatment that commerce within 72hours of risky exposure is the best way to stop HIV proliferation.
ISSN:1792-6939
1792-6939