Hopf bifurcation in a reaction-diffusive-advection two-species competition model with one delay
In this paper, we investigate a reaction-diffusive-advection two-species competition model with one delay and Dirichlet boundary conditions. The existence and multiplicity of spatially non-homogeneous steady-state solutions are obtained. The stability of spatially nonhomogeneous steady-state solutio...
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: | Differenciálható dinamikus rendszer, Bifurkáció |
| doi: | 10.14232/ejqtde.2021.1.72 |
| Online Access: | http://acta.bibl.u-szeged.hu/73724 |
| LEADER | 01564nas a2200229 i 4500 | ||
|---|---|---|---|
| 001 | acta73724 | ||
| 005 | 20211111105934.0 | ||
| 008 | 211111s2021 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2021.1.72 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Meng Qiong | |
| 245 | 1 | 0 | |a Hopf bifurcation in a reaction-diffusive-advection two-species competition model with one delay |h [elektronikus dokumentum] / |c Meng Qiong |
| 260 | |c 2021 | ||
| 300 | |a 24 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a In this paper, we investigate a reaction-diffusive-advection two-species competition model with one delay and Dirichlet boundary conditions. The existence and multiplicity of spatially non-homogeneous steady-state solutions are obtained. The stability of spatially nonhomogeneous steady-state solutions and the existence of Hopf bifurcation with the changes of the time delay are obtained by analyzing the distribution of eigenvalues of the infinitesimal generator associated with the linearized system. By the normal form theory and the center manifold reduction, the stability and bifurcation direction of Hopf bifurcating periodic orbits are derived. Finally, numerical simulations are given to illustrate the theoretical results. | |
| 695 | |a Differenciálható dinamikus rendszer, Bifurkáció | ||
| 700 | 0 | 1 | |a Liu Guirong |e aut |
| 700 | 0 | 1 | |a Jin Zhen |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73724/1/ejqtde_2021_072.pdf |z Dokumentum-elérés |