Global dynamics of p-Laplacian reaction-diffusion equations with application to virology

Benyounes Bettioui, Abdelaziz El Hassani, Khalid Hattaf, Naceur Achtaich

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.

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Published: 2022-10-03

How to Cite this Article:

Benyounes Bettioui, Abdelaziz El Hassani, Khalid Hattaf, Naceur Achtaich, Global dynamics of p-Laplacian reaction-diffusion equations with application to virology, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 97

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.

Commun. Math. Biol. Neurosci.

ISSN 2052-2541

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