Mathematical Modelling of the Effect of HIV/AIDS on
Sickle Cell Genotype with Perturbation in the
Production of T-Cells on the Choice of Stability

I. C. Eli; A. B. Okrinya

doi:https://doi.org/10.14445/22315373/IJMTT-V68I6P516

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 6 | Year 2022 | Article Id. IJMTT-V68I6P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I6P516

Mathematical Modelling of the Effect of HIV/AIDS on Sickle Cell Genotype with Perturbation in the Production of T-Cells on the Choice of Stability

I. C. Eli, A. B. Okrinya

Received	Revised	Accepted	Published
30 Apr 2022	14 Jun 2022	23 Jun 2022	23 Jun 2022

Abstract

Sickle cell disease is a genetic disorder resulting from a mutation in the haemoglobin gene. Human immunodeficiency virus (HIV) infections destroys the body immune system, increases risks of certain pathogens, damages body organs and causes death eventually. A person with both SCD and HIV presents a management challenge particularly in a resource limited situation. Studies show that the presence of SCD helps to control the effects of HIV in an individual and its transformation into AIDS later on. This study presents a pre-existing mathematical model based on a set of differential equations. The model is formulated such that it takes into account HIV infected cells and its effect on Sickle cell disease when there is a perturbation in the production of T-cells. It is observed that the dynamical system maintained instability for both trivial and non-trivial steady state with the help of characteristics equations, linearization and ODE45 numerical approach. The results also show that the boundaries of the co-existence of both the trivial and non-trivial steady state solutions of the T-cells increases. Hence, there is no significant relationship between the genotype of a patient and the growth of the HIV.

Keywords

HIV, Infections, Genotype, Patient, Stability, Perturbation, Eigen Values, CD4 + T-Cells and ODE45.

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Citation :

I. C. Eli, A. B. Okrinya, "Mathematical Modelling of the Effect of HIV/AIDS on Sickle Cell Genotype with Perturbation in the Production of T-Cells on the Choice of Stability," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 6, pp. 137-144, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I6P516