Open AccessStabilization of An Unstable Interaction Between T Cells, HIV, and ARD in A Dynamic System
Author(s) -
Kubugha Wilcox Buyo,
Liberty Ebiwareme,
J. D. Jephter
Publication year - 2022
Publication title -
european journal of mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 2736-5484
DOI - 10.24018/ejmath.2022.3.2.103
Subject(s) - linearization , steady state (chemistry) , matlab , control theory (sociology) , mathematics , human immunodeficiency virus (hiv) , set (abstract data type) , control (management) , computer science , physics , chemistry , nonlinear system , immunology , medicine , quantum mechanics , artificial intelligence , programming language , operating system
This research involves mathematical formulation to investigate the stabilization of an unstable interaction between Tcells, HIV and ARD in a dynamic system. The models were solved analytically where the steady state solutions were obtained. After abtaining the various steady solutions, we did linearization analytically, and the steady solution was found to be unstable. Hence, we introduced a control on some of the pertinent parameters and obtained the new set of eigen values that contains some other parameters. Thereafter, numerical simulation was done using Matlab, by varying the constant supply of the drug to study the effect of the system as well as the HIV. The study showed that the control introduced was effective in stabilising the trivial steady state solution of the dynamic system.