Global Stability of a Parabolic System Involving a Nonlinear Diffusion Operator with an Example in Epidemiology
Year: 2025
Author: Achraf Zinihi, Moulay Rchid Sidi Ammi
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 453–462
Abstract
The purpose of this work is to study the global stability of specific nonlinear parabolic equations incorporating the $p$-Laplacian operator, with a primary emphasis on their application in biology, particularly in the context of epidemiology. This investigation entails the construction of Lyapunov functions derived from the associated ODEs. To elucidate our approach, we provide an illustrative example from the field of epidemiology.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.453
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 453–462
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Epidemiological model Lyapunov function parabolic systems $p$-Laplacian operator.