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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2022 (2022)

Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 38

A stochastic viral model with cell-to-cell transmission

Amine El Koufi

PDF (596.9 KB) https://doi.org/10.28919/cmbn/7261

Abstract

The purpose of this paper is to investigate the dynamics of a stochastic virus dynamical model with both cell-to-virus infection and cell-to-cell transmission and cure rate. We show the existence of a unique global positive solution of our system, we give a sufficient conditions for persistence of the infected cells and virus, we prove that the virus-free equilibrium is almost sure exponentially stable. Numerical simulations are achieved to illustrate theoretical results.

Published
22 April 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 Amine El Koufi. 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. El Koufi, A stochastic viral model with cell-to-cell transmission, Commun. Math. Biol. Neurosci. 2022 (2022), 38. https://doi.org/10.28919/cmbn/7261

BibTeX
@article{Koufi2022,
  author  = {El Koufi, Amine},
  title   = {A stochastic viral model with cell-to-cell transmission},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {38},
  doi     = {10.28919/cmbn/7261}
}