Convective instability in a diffusive predator-prey system
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 concern...
Elmentve itt :
| Szerzők: | |
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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 |
| doi: | 10.14232/ejqtde.2021.1.74 |
| Online Access: | http://acta.bibl.u-szeged.hu/73726 |
| LEADER | 01485nas a2200217 i 4500 | ||
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| 008 | 211111s2021 hu o 0|| eng d | ||
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| 024 | 7 | |a 10.14232/ejqtde.2021.1.74 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Chen Hui | |
| 245 | 1 | 0 | |a Convective instability in a diffusive predator-prey system |h [elektronikus dokumentum] / |c Chen Hui |
| 260 | |c 2021 | ||
| 300 | |a 9 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 695 | |a Differenciálegyenlet | ||
| 700 | 0 | 1 | |a Xu Xuelian |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73726/1/ejqtde_2021_074.pdf |z Dokumentum-elérés |