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Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 85

Mathematical analysis of an age-structured viral infection model with latency and general incidence rate

El Mehdi Warrak, Sara Lasfar, Khalid Hattaf, Noura Yousfi

Abstract

In this paper, we develop an age-structured viral infection model with latency age, infection age and general incidence rate. The developed model is formulated by ordinary and partial differential equations. The well posedness and the existence of equilibria are rigorously investigated. Moreover, the qualitative properties including uniform persistence, local stability of equilibria as well as the global behavior of the model are fully established.

Published
29 August 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 El Mehdi Warrak, Sara Lasfar, 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

E. M. Warrak, S. Lasfar, K. Hattaf, N. Yousfi, Mathematical analysis of an age-structured viral infection model with latency and general incidence rate, Commun. Math. Biol. Neurosci. 2022 (2022), 85. https://doi.org/10.28919/cmbn/7612

BibTeX
@article{Warrak2022,
  author  = {Warrak, El Mehdi and Lasfar, Sara and Hattaf, Khalid and Yousfi, Noura},
  title   = {Mathematical analysis of an age-structured viral infection model with latency and general incidence rate},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {85},
  doi     = {10.28919/cmbn/7612}
}