Existence of steady-state solutions for a class of competing systems with cross-diffusion and self-diffusion
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 construct...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2021
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet, Diffúzió |
| doi: | 10.14232/ejqtde.2021.1.2 |
| Online Access: | http://acta.bibl.u-szeged.hu/73654 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 10 |
| ISSN: | 1417-3875 |