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

نویسندگان

چکیده

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 model. It is worth noting function constructed above applicable Dirichlet, Neumann Robin boundary conditions.

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ژورنال

عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations

سال: 2021

ISSN: ['1417-3875']

DOI: https://doi.org/10.14232/ejqtde.2021.1.2