TY - JOUR
T1 - Global Stability of a Parabolic System Involving a Nonlinear Diffusion Operator with an Example in Epidemiology
AU - Zinihi , Achraf
AU - Ammi , Moulay Rchid Sidi
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 453
EP - 462
PY - 2025
DA - 2025/04
SN - 7
DO - http://doi.org/10.12150/jnma.2025.453
UR - https://global-sci.org/intro/article_detail/jnma/23984.html
KW - Epidemiological model, Lyapunov function, parabolic systems,
$p$-Laplacian operator.
AB - <p style="text-align: justify;">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.</p>