On a generalized Klausmeier model

Martha Paola Cruz de la Cruz; Daniel Alfonso Santiesteban; Luis Miguel Martín Álvarez; Ricardo Abreu Blaya; Hernández-Gómez Juan Carlos

doi:10.3934/mbe.2023734

On a generalized Klausmeier model

Journal

Mathematical Biosciences and Engineering

ISSN

1551-0018

Date Issued

2023

Author(s)

Martha Paola Cruz de la Cruz

Daniel Alfonso Santiesteban

Luis Miguel Martín Álvarez

Ricardo Abreu Blaya

Universidad UTE

Hernández-Gómez Juan Carlos

DOI

10.3934/mbe.2023734

URL

https://cris.ute.edu.ec/handle/123456789/469

Abstract

<abstract><p>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.</p></abstract>