Existence of steady-state solutions for a class of competing systems with cross-diffusion and self-diffusion
- 1 January 2021
- journal article
- research article
- Published by University of Szeged in Electronic Journal of Qualitative Theory of Differential Equations
- No. 2,p. 1-10
- https://doi.org/10.14232/ejqtde.2021.1.2
Abstract
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.Keywords
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