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J. Math. Comput. Sci. 12 (2022), Article ID 45

Mathematical analysis of HIV infection of CD4+ T-cells with discrete delays

A. Anu Priyadharshini, K. Krishnan

Abstract

In this study, we introduce a discrete time to the model to describe the time delays between infection of a CD4+ T-cells, and the emission of viral particles on a cellular level. We begin by determining the existence and stability of the equilibrium. Further We investigate the global stability of the infection-free equilibrium and give sufficient condition for the local stability of the infected steady state is asymptotically stable for all delays. Finally, the numerical simulations are presented to illustrate the analytical results.

Published
3 January 2022
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2022 A. Anu Priyadharshini, K. Krishnan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

A. A. Priyadharshini, K. Krishnan, Mathematical analysis of HIV infection of CD4+ T-cells with discrete delays, J. Math. Comput. Sci. 12 (2022), 45. https://doi.org/10.28919/jmcs/6925

BibTeX
@article{Priyadharshini2022,
  author  = {Priyadharshini, A. Anu and Krishnan, K.},
  title   = {Mathematical analysis of HIV infection of CD4+ T-cells with discrete delays},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {45},
  doi     = {10.28919/jmcs/6925}
}