A dynamical analysis and numerical simulation of COVID-19 and HIV/AIDS co-infection with intervention strategies

HIV/AIDS-COVID-19 co-infection is a major public health concern especially in developing countries of the world. This paper presents HIV/AIDS-COVID-19 co-infection to investigate the impact of interventions on its transmission using ordinary differential equation. In the analysis of the model, the s...

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Main Authors: Shewafera Wondimagegnhu Teklu, Belela Samuel Kotola
Format: Article
Language:English
Published: Taylor & Francis Group 2023-12-01
Series:Journal of Biological Dynamics
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/17513758.2023.2175920
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author Shewafera Wondimagegnhu Teklu
Belela Samuel Kotola
author_facet Shewafera Wondimagegnhu Teklu
Belela Samuel Kotola
author_sort Shewafera Wondimagegnhu Teklu
collection DOAJ
description HIV/AIDS-COVID-19 co-infection is a major public health concern especially in developing countries of the world. This paper presents HIV/AIDS-COVID-19 co-infection to investigate the impact of interventions on its transmission using ordinary differential equation. In the analysis of the model, the solutions are shown to be non-negative and bounded, using next-generation matrix approach the basic reproduction numbers are computed, sufficient conditions for stabilities of equilibrium points are established. The sensitivity analysis showed that transmission rates are the most sensitive parameters that have direct impact on the basic reproduction numbers and protection and treatment rates are more sensitive and have indirect impact to the basic reproduction numbers. Numerical simulations shown that some parameter effects on the transmission of single infections as well as co-infection, and applying the protection rates and treatment rates have effective roles to minimize and also to eradicate the HIV/AIDS-COVID-19 co-infection spreading in the community.
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spelling doaj.art-847e03959b724f78a62e2700617d085c2024-02-02T18:51:34ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662023-12-0117110.1080/17513758.2023.2175920A dynamical analysis and numerical simulation of COVID-19 and HIV/AIDS co-infection with intervention strategiesShewafera Wondimagegnhu Teklu0Belela Samuel Kotola1Department of Mathematics, Natural Science, Debre Berhan University, Debre Berhan, EthiopiaDepartment of Mathematics, Natural Science, Debre Berhan University, Debre Berhan, EthiopiaHIV/AIDS-COVID-19 co-infection is a major public health concern especially in developing countries of the world. This paper presents HIV/AIDS-COVID-19 co-infection to investigate the impact of interventions on its transmission using ordinary differential equation. In the analysis of the model, the solutions are shown to be non-negative and bounded, using next-generation matrix approach the basic reproduction numbers are computed, sufficient conditions for stabilities of equilibrium points are established. The sensitivity analysis showed that transmission rates are the most sensitive parameters that have direct impact on the basic reproduction numbers and protection and treatment rates are more sensitive and have indirect impact to the basic reproduction numbers. Numerical simulations shown that some parameter effects on the transmission of single infections as well as co-infection, and applying the protection rates and treatment rates have effective roles to minimize and also to eradicate the HIV/AIDS-COVID-19 co-infection spreading in the community.https://www.tandfonline.com/doi/10.1080/17513758.2023.2175920COVID-19co-infectionprotectiontreatmentstability analysis
spellingShingle Shewafera Wondimagegnhu Teklu
Belela Samuel Kotola
A dynamical analysis and numerical simulation of COVID-19 and HIV/AIDS co-infection with intervention strategies
Journal of Biological Dynamics
COVID-19
co-infection
protection
treatment
stability analysis
title A dynamical analysis and numerical simulation of COVID-19 and HIV/AIDS co-infection with intervention strategies
title_full A dynamical analysis and numerical simulation of COVID-19 and HIV/AIDS co-infection with intervention strategies
title_fullStr A dynamical analysis and numerical simulation of COVID-19 and HIV/AIDS co-infection with intervention strategies
title_full_unstemmed A dynamical analysis and numerical simulation of COVID-19 and HIV/AIDS co-infection with intervention strategies
title_short A dynamical analysis and numerical simulation of COVID-19 and HIV/AIDS co-infection with intervention strategies
title_sort dynamical analysis and numerical simulation of covid 19 and hiv aids co infection with intervention strategies
topic COVID-19
co-infection
protection
treatment
stability analysis
url https://www.tandfonline.com/doi/10.1080/17513758.2023.2175920
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