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| Global Stability of a Parabolic System Involving a Nonlinear Diffusion Operator with an Example in Epidemiology |
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| KeyWord:Epidemiological model, Lyapunov function, parabolic systems, $p$-Laplacian operator |
| Author Name | Affiliation | | Achraf Zinihi | Department of Mathematics, MAIS Laboratory, AMNEA Group, Faculty of Sciences and Technics, Moulay Ismail University of Meknes, Errachidia 52000, Morocco | | Moulay Rchid Sidi Ammi | Department of Mathematics, MAIS Laboratory, AMNEA Group, Faculty of Sciences and Technics, Moulay Ismail University of Meknes, Errachidia 52000, Morocco |
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| 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. |
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