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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2023 (2023)

Commun. Math. Biol. Neurosci. 2023 (2023), Article ID 124

A stochastically perturbed HIV-1 and HIV-2 epidemic model with drug resistance

Youssra Hajri, El Mehdi Farah, Amina Allali, Saida Amine

PDF (394.2 KB) https://doi.org/10.28919/cmbn/8120

Abstract

In this paper, a stochastic HIV-1 and HIV-2 epidemic model with drug resistance is presented to study the effect of white noise intensities. We firstly prove the existence and uniqueness of the global positive solution for the proposed stochastic model. The extinction of our studied disease is derived with sufficient conditions. In addition, the persistence in the mean of the infection is also established. Finally, numerical simulations for different noises disturbance are performed to illustrate the performance of our theoretical study.

Published
21 November 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 Youssra Hajri, El Mehdi Farah, Amina Allali, Saida Amine. 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

Y. Hajri, E. M. Farah, A. Allali, S. Amine, A stochastically perturbed HIV-1 and HIV-2 epidemic model with drug resistance, Commun. Math. Biol. Neurosci. 2023 (2023), 124. https://doi.org/10.28919/cmbn/8120

BibTeX
@article{Hajri2023,
  author  = {Hajri, Youssra and Farah, El Mehdi and Allali, Amina and Amine, Saida},
  title   = {A stochastically perturbed HIV-1 and HIV-2 epidemic model with drug resistance},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2023},
  year    = {2023},
  pages   = {124},
  doi     = {10.28919/cmbn/8120}
}