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

Zhu Ningning: Existence of steady-state solutions for a class of competing systems with cross-diffusion and self-diffusion. (2021)

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Abstract

We focus on a system of two competing species with cross-diffusion and selfdiffusion. 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.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2021
Number: 2
ISSN: 1417-3875
Number of Pages: 10
Language: English
DOI: 10.14232/ejqtde.2021.1.2
Uncontrolled Keywords: Differenciálegyenlet, Diffúzió
Additional Information: Bibliogr.: p. 9-10. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 08. 08:10
Last Modified: 2021. Nov. 08. 08:10
URI: http://acta.bibl.u-szeged.hu/id/eprint/73654

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