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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2021 (2021), Article ID 38

Global stability of HIV-1 and HIV-2 model with drug resistance compartment

Saida Amine, El Mehdi Farah

PDF (346.1 KB) https://doi.org/10.28919/cmbn/5643

Abstract

In this paper we propose a new mathematical model describing the dynamics of the human immunodeficiency virus 1 and 2 with drug resistant compartment. We proved the positivity and boundedness of solutions with non-negative initial conditions. The dynamical system admits four equilibrium states: free equilibrium disease, one endemic equilibrium of each strain and one of the two strains. Two basic reproduction numbers are calculated. The global stability of the four equilibrium points is proved by using suitable Lyapunov functions. Numerical simulations were carried out to illustrate our results and a parameter sensitivity analysis completed this work.

Published
27 April 2021
Volume
2021 (2021)
License
CC BY 3.0

Copyright © 2021 Saida Amine, El Mehdi Farah. 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

S. Amine, E. M. Farah, Global stability of HIV-1 and HIV-2 model with drug resistance compartment, Commun. Math. Biol. Neurosci. 2021 (2021), 38. https://doi.org/10.28919/cmbn/5643

BibTeX
@article{Amine2021,
  author  = {Amine, Saida and Farah, El Mehdi},
  title   = {Global stability of HIV-1 and HIV-2 model with drug resistance compartment},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2021},
  year    = {2021},
  pages   = {38},
  doi     = {10.28919/cmbn/5643}
}