On a generalized Klausmeier model
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 perturbatio...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-08-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023734?viewType=HTML |
| _version_ | 1797672808121106432 |
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| author | Martha Paola Cruz de la Cruz Daniel Alfonso Santiesteban Luis Miguel Martín Álvarez Ricardo Abreu Blaya Hernández-Gómez Juan Carlos |
| author_facet | Martha Paola Cruz de la Cruz Daniel Alfonso Santiesteban Luis Miguel Martín Álvarez Ricardo Abreu Blaya Hernández-Gómez Juan Carlos |
| author_sort | Martha Paola Cruz de la Cruz |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T21:35:34Z |
| format | Article |
| id | doaj.art-2e9243b52b1a42a28d8914cf77e9c0df |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-03-11T21:35:34Z |
| publishDate | 2023-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-2e9243b52b1a42a28d8914cf77e9c0df2023-09-27T01:46:38ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-08-01209164471647010.3934/mbe.2023734On a generalized Klausmeier modelMartha Paola Cruz de la Cruz 0Daniel Alfonso Santiesteban 1Luis Miguel Martín Álvarez 2Ricardo Abreu Blaya3Hernández-Gómez Juan Carlos 41. Faculty of Mathematics, Autonomous University of Guerrero, Mexico1. Faculty of Mathematics, Autonomous University of Guerrero, Mexico1. Faculty of Mathematics, Autonomous University of Guerrero, Mexico1. Faculty of Mathematics, Autonomous University of Guerrero, Mexico 2. Guest researcher UTE University, Ecuador1. Faculty of Mathematics, Autonomous University of Guerrero, MexicoIn 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.https://www.aimspress.com/article/doi/10.3934/mbe.2023734?viewType=HTMLfractional derivativeklausmeier modelstability analysisinverse problemhomotopic perturbation method |
| spellingShingle | 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 Mathematical Biosciences and Engineering fractional derivative klausmeier model stability analysis inverse problem homotopic perturbation method |
| title | On a generalized Klausmeier model |
| title_full | On a generalized Klausmeier model |
| title_fullStr | On a generalized Klausmeier model |
| title_full_unstemmed | On a generalized Klausmeier model |
| title_short | On a generalized Klausmeier model |
| title_sort | on a generalized klausmeier model |
| topic | fractional derivative klausmeier model stability analysis inverse problem homotopic perturbation method |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023734?viewType=HTML |
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