On a reaction-diffusion-advection system fixed boundary or free boundary /
This paper is devoted to the asymptotic behaviors of the solution to a reaction–diffusion–advection system in a homogeneous environment with fixed boundary or free boundary. For the fixed boundary problem, the global asymptotic stability of nonconstant semi-trivial states is obtained. It is also sho...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2018
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Matematikai modell |
| Online Access: | http://acta.bibl.u-szeged.hu/55696 |
| LEADER | 01525nas a2200217 i 4500 | ||
|---|---|---|---|
| 001 | acta55696 | ||
| 005 | 20200729122905.0 | ||
| 008 | 181106s2018 hu o 0|| zxx d | ||
| 022 | |a 1417-3875 | ||
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Xu Ying | |
| 245 | 1 | 3 | |a On a reaction-diffusion-advection system |h [elektronikus dokumentum] : |b fixed boundary or free boundary / |c Xu Ying |
| 260 | |c 2018 | ||
| 300 | |a 1-31 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a This paper is devoted to the asymptotic behaviors of the solution to a reaction–diffusion–advection system in a homogeneous environment with fixed boundary or free boundary. For the fixed boundary problem, the global asymptotic stability of nonconstant semi-trivial states is obtained. It is also shown that there exists a stable nonconstant co-existence state under some appropriate conditions. Numerical simulations are given not only to illustrate the theoretical results, but also to exhibit the advection-induced difference between the left and right boundaries as time proceeds. For the free boundary problem, the spreading–vanishing dichotomy is proved, i.e., the solution either spreads or vanishes finally. Besides, the criteria for spreading and vanishing are further established. | |
| 695 | |a Matematikai modell | ||
| 700 | 0 | 1 | |a Zhu Dandan |e aut |
| 700 | 0 | 1 | |a Ren Jingli |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/55696/1/ejqtde_2018_026.pdf |z Dokumentum-elérés |