Existence of steady-state solutions for a class of competing systems with cross-diffusion and self-diffusion

Autor: Ningning Zhu
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2021, Iss 2, Pp 1-10 (2021)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2021.1.2
Popis: We focus on a system of two competing species with cross-diffusion and self-diffusion. By constructing an appropriate auxiliary function, we derive the sufficient conditions such that there are no coexisting steady-state solutions to the model. It is worth noting that the auxiliary function constructed above is applicable to Dirichlet, Neumann and Robin boundary conditions.
Databáze: Directory of Open Access Journals