Study of a class of triangular starvation driven cross-diffusion systems
Abstract We study the existence, regularity and uniqueness for a general class of triangular reaction-cross-diffusion systems coming from the study of starvation driven behavior for two species in competition. This study involves an equivalent system in non-divergence form, for which existence can be obtained thanks to Schauder’s fixed point theorem.
Authors
- Elisabetta Brocchieri (ORCID: https://orcid.org/0000-0003-0592-2306)
- Helge Dietert (ORCID: https://orcid.org/0000-0002-2071-9202)
- Laurent Desvillettes
Institutions
- Centre National de la Recherche Scientifique (FR)
- University of Graz (AT)
- Université Paris Cité (FR)
- Institut de Mathématiques de Jussieu-Paris Rive Gauche (FR)
- Sorbonne Université (FR)
- Sorbonne Paris Cité (FR)
Publication Details
- Journal
- Ricerche di Matematica
- Published
- 2024-10-18
- DOI
- https://doi.org/10.1007/s11587-024-00899-w
- Citations
- 2
- Primary Topic
- Mathematical and Theoretical Epidemiology and Ecology Models
- Type
- article
- Field-Weighted Citation Impact
- 1.09
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Karl-Franzens-Universität Graz