Global dynamics of p-Laplacian reaction-diffusion equations with application to virology
Abstract
In this paper, we propose a method to investigate the global stability of reaction-diffusion equations involving the p-Laplacian operator with and without delay. The proposed method is based on the direct Lyapunov method which consists to construct an appropriate Lyapunov functional. Furthermore, the method is applied to two biological systems from virology one without delay and the other with both delays in the infection and viral production.
- Published
- 3 October 2022
- Volume
- 2022 (2022)
- License
- CC BY 3.0
Copyright © 2022 Benyounes Bettioui, Abdelaziz El Hassani, Khalid Hattaf, Naceur Achtaich. 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
B. Bettioui, A. El Hassani, K. Hattaf, N. Achtaich, Global dynamics of p-Laplacian reaction-diffusion equations with application to virology, Commun. Math. Biol. Neurosci. 2022 (2022), 97. https://doi.org/10.28919/cmbn/7625
BibTeX
@article{Bettioui2022,
author = {Bettioui, Benyounes and El Hassani, Abdelaziz and Hattaf, Khalid and Achtaich, Naceur},
title = {Global dynamics of p-Laplacian reaction-diffusion equations with application to virology},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2022},
year = {2022},
pages = {97},
doi = {10.28919/cmbn/7625}
}