Stability and Hopf bifurcation of a diffusive Gompertz population model with nonlocal delay effect
In this paper, we investigate the dynamics of a diffusive Gompertz population model with nonlocal delay effect and Dirichlet boundary condition. The stability of the positive spatially nonhomogeneous steady-state solutions and the existence of Hopf bifurcations with the change of the time delay are...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2018
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Bifurkációelmélet |
| Online Access: | http://acta.bibl.u-szeged.hu/55692 |
| LEADER | 01386nas a2200217 i 4500 | ||
|---|---|---|---|
| 001 | acta55692 | ||
| 005 | 20200729122904.0 | ||
| 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 Sun Xiuli | |
| 245 | 1 | 0 | |a Stability and Hopf bifurcation of a diffusive Gompertz population model with nonlocal delay effect |h [elektronikus dokumentum] / |c Sun Xiuli |
| 260 | |c 2018 | ||
| 300 | |a 1-22 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a In this paper, we investigate the dynamics of a diffusive Gompertz population model with nonlocal delay effect and Dirichlet boundary condition. The stability of the positive spatially nonhomogeneous steady-state solutions and the existence of Hopf bifurcations with the change of the time delay are discussed by analyzing the distribution of eigenvalues of the infinitesimal generator associated with the linearized system. Then we derive the stability and bifurcation direction of Hopf bifurcating periodic orbits by using the normal form theory and the center manifold reduction. Finally, we give some numerical simulations. | |
| 695 | |a Bifurkációelmélet | ||
| 700 | 0 | 1 | |a Wang Luan |e aut |
| 700 | 0 | 1 | |a Tian Baochuan |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/55692/1/ejqtde_2018_022.pdf |z Dokumentum-elérés |