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.
Citation: Martha Paola Cruz de la Cruz, Daniel Alfonso Santiesteban, Luis Miguel Martín Álvarez, Ricardo Abreu Blaya, Hernández-Gómez Juan Carlos. On a generalized Klausmeier model[J]. Mathematical Biosciences and Engineering, 2023, 20(9): 16447-16470. doi: 10.3934/mbe.2023734
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.
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Martha Paola Cruz de la Cruz, Daniel Alfonso Santiesteban, Luis Miguel Martín Álvarez, Ricardo Abreu Blaya, Hernández-Gómez Juan Carlos. On a generalized Klausmeier model[J]. Mathematical Biosciences and Engineering, 2023, 20(9): 16447-16470. doi: 10.3934/mbe.2023734
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