Skip to content
Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2022 (2022)

Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 119

Dynamics of an immunological viral infection model with lytic and non-lytic immune response in presence of cell-to-cell transmission and cure of infected cells

Mly Ismail El Karimi, Khalid Hattaf, Noura Yousfi

PDF (147.5 KB) https://doi.org/10.28919/cmbn/7644

Abstract

In this paper, we propose a mathematical model that describes the dynamics of viral infection with both modes of transmission, virus-to-cell and cell-to-cell by taking into account the non-cytolytic cure of infected cells, the lytic and non-lytic humoral immune response. We first prove the non-negativity and boundedness of the solutions of the proposed model. Furthermore, the dynamical behaviors of the model including the local and global stability of equilibria are rigorously investigated.

Published
16 November 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 Mly Ismail El Karimi, Khalid Hattaf, Noura Yousfi. 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

M. I. El Karimi, K. Hattaf, N. Yousfi, Dynamics of an immunological viral infection model with lytic and non-lytic immune response in presence of cell-to-cell transmission and cure of infected cells, Commun. Math. Biol. Neurosci. 2022 (2022), 119. https://doi.org/10.28919/cmbn/7644

BibTeX
@article{Karimi2022,
  author  = {El Karimi, Mly Ismail and Hattaf, Khalid and Yousfi, Noura},
  title   = {Dynamics of an immunological viral infection model with lytic and non-lytic immune response in presence of cell-to-cell transmission and cure of infected cells},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {119},
  doi     = {10.28919/cmbn/7644}
}