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. 2023 Aug 16;20(9):16447-16470.
doi: 10.3934/mbe.2023734.

On a generalized Klausmeier model

Martha Paola Cruz de la Cruz  1 , Daniel Alfonso Santiesteban  1 , Luis Miguel Martín Álvarez  1 , Ricardo Abreu Blaya  1   2 , Hernández-Gómez Juan Carlos  1
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Free article

On a generalized Klausmeier model

Martha Paola Cruz de la Cruz et al. Math Biosci Eng. .
Free article

Abstract

In this paper we study a generalized Klausmeier model replacing the integer derivative by a local fractional derivative. This derivative enables us to consider a wide range of systems with already well-known derivatives. We analyze the stability of this new model as well as the homotopic perturbation method. Finally, an inverse problem associated with a real data set is solved.

Keywords: Klausmeier model; fractional derivative; homotopic perturbation method; inverse problem; stability analysis.

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