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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 56

Global stability of reaction-diffusion equations with fractional Laplacian operator and applications in biology

Abdelaziz El Hassani, Khalid Hattaf, Naceur Achtaich

PDF (178.8 KB) https://doi.org/10.28919/cmbn/7485

Abstract

The main objective of this paper is to develop an efficient method to establish the global stability of some reaction-diffusion equations with fractional Laplacian operator. This method is based on Lyapunov functionals for ordinary differential equations (ODEs). A classical case of such types of fractional spacial diffusion equations is rigorously studied. Moreover, the developed method is applied to some biological systems arising from epidemiology and cancerology.

Published
27 June 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 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

A. El Hassani, K. Hattaf, N. Achtaich, Global stability of reaction-diffusion equations with fractional Laplacian operator and applications in biology, Commun. Math. Biol. Neurosci. 2022 (2022), 56. https://doi.org/10.28919/cmbn/7485

BibTeX
@article{Hassani2022,
  author  = {El Hassani, Abdelaziz and Hattaf, Khalid and Achtaich, Naceur},
  title   = {Global stability of reaction-diffusion equations with fractional Laplacian operator and applications in biology},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {56},
  doi     = {10.28919/cmbn/7485}
}