Mathematical modelling of the potential role of supplementary feeding for people living with HIV/AIDS

S. B. Chibaya; F. Nyabadza

doi:10.1007/s40819-019-0660-9

Mathematical modelling of the potential role of supplementary feeding for people living with HIV/AIDS

S. B. Chibaya, F. Nyabadza

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Nutrition plays a critical role in care, support and treatment of HIV infected individuals. In this paper, an HIV/AIDS mathematical model that incorporates supplementary feeding is formulated and analysed using the system of ordinary differential equations. The model has two equilibria, the disease-free equilibrium and endemic equilibrium. Analytical analysis of the model shows that the disease-free and endemic equilibria are globally stable for R₀ < 1 and R₀ > 1 respectively. Numerical simulations are done to show the role of some key model parameters as well as to verify some analytical results. The results of the study show that supplementary feeding taken concurrently with antiretroviral treatment can control the HIV/AIDS transmission by reducing the reproduction number thus leading to the disease control.

Original language	English
Article number	97
Journal	International Journal of Applied and Computational Mathematics
Volume	5
Issue number	3
DOIs	https://doi.org/10.1007/s40819-019-0660-9
Publication status	Published - Jun 2019

Keywords

Equilibria
HIV/AIDS
Reproduction number
Supplementary feeding
Treatment

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1007/s40819-019-0660-9

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abstract = "Nutrition plays a critical role in care, support and treatment of HIV infected individuals. In this paper, an HIV/AIDS mathematical model that incorporates supplementary feeding is formulated and analysed using the system of ordinary differential equations. The model has two equilibria, the disease-free equilibrium and endemic equilibrium. Analytical analysis of the model shows that the disease-free and endemic equilibria are globally stable for R0 < 1 and R0 > 1 respectively. Numerical simulations are done to show the role of some key model parameters as well as to verify some analytical results. The results of the study show that supplementary feeding taken concurrently with antiretroviral treatment can control the HIV/AIDS transmission by reducing the reproduction number thus leading to the disease control.",

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N2 - Nutrition plays a critical role in care, support and treatment of HIV infected individuals. In this paper, an HIV/AIDS mathematical model that incorporates supplementary feeding is formulated and analysed using the system of ordinary differential equations. The model has two equilibria, the disease-free equilibrium and endemic equilibrium. Analytical analysis of the model shows that the disease-free and endemic equilibria are globally stable for R0 < 1 and R0 > 1 respectively. Numerical simulations are done to show the role of some key model parameters as well as to verify some analytical results. The results of the study show that supplementary feeding taken concurrently with antiretroviral treatment can control the HIV/AIDS transmission by reducing the reproduction number thus leading to the disease control.

AB - Nutrition plays a critical role in care, support and treatment of HIV infected individuals. In this paper, an HIV/AIDS mathematical model that incorporates supplementary feeding is formulated and analysed using the system of ordinary differential equations. The model has two equilibria, the disease-free equilibrium and endemic equilibrium. Analytical analysis of the model shows that the disease-free and endemic equilibria are globally stable for R0 < 1 and R0 > 1 respectively. Numerical simulations are done to show the role of some key model parameters as well as to verify some analytical results. The results of the study show that supplementary feeding taken concurrently with antiretroviral treatment can control the HIV/AIDS transmission by reducing the reproduction number thus leading to the disease control.

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Mathematical modelling of the potential role of supplementary feeding for people living with HIV/AIDS

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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