Chen Hui and Xu Xuelian: Convective instability in a diffusive predator-prey system. (2021)
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Abstract
It is well known that biological pattern formation is the Turing mechanism, in which a homogeneous steady state is destabilized by the addition of diffusion, though it is stable in the kinetic ODEs. However, steady states that are unstable in the kinetic ODEs are rarely mentioned. This paper concerns a reaction diffusion advection system under Neumann boundary conditions, where steady states that are unstable in the kinetic ODEs. Our results provide a stabilization strategy for the same steady state, the combination of large advection rate and small diffusion rate can stabilize the homogeneous equilibrium. Moreover, we investigate the existence and stability of nonconstant positive steady states to the system through rigorous bifurcation analysis.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2021 |
| Number: | 74 |
| ISSN: | 1417-3875 |
| Number of Pages: | 9 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2021.1.74 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 8-9. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 11. 11:20 |
| Last Modified: | 2021. Nov. 11. 11:20 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73726 |
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