Stability Analysis of the Numerical Approximation for HIV-Infection of Cd4+ T-Cells Mathematical Model
- September 16, 2020
- Posted by: RSIS Team
- Categories: Biology, IJRIAS
International Journal of Research and Innovation in Applied Science (IJRIAS) | Volume V, Issue III, February 2020 | ISSN 2454–6186
Nwagor, Peters1, Lawson-Jack, Ngoye Ibifubara2
1,2Department of Mathematics/Statistics, Ignatius Ajuru University of Education, Port Harcourt, Nigeria
Abstract:- This study investigated a stability analysis of the numerical approximation of a differential equation model of HIV-infection of CD4+ T-cells which is susceptible to infection, that is target cells T, which through interactions with virus V, become infected. Analytical solution of the model was considered, the steady state solution of the model was investigated and the linear stability analysis of the model was obtained. The numerical solution shows that upon the variation of the rate of production of CD4+Tcells, a mixture of stable and unstable steady state-solutions was found. And by varying the death rate of virus particlesγ, we found a combination of stable and unstable steady state-solutions which became a predominant unstable when the per capita rate of disappearance of infected cells was varied.
Keywords: HIV-infection, Steady State, Linear Stability, CD4, T-cells
