Sun, Xiuli and Wang, Luan and Tian, Baochuan: Stability and Hopf bifurcation of a diffusive Gompertz population model with nonlocal delay effect. (2018)
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Abstract
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.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2018 |
| Number: | 22 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-22 |
| Uncontrolled Keywords: | Bifurkációelmélet |
| Additional Information: | Bibliogr.: p. 19-22. ; Összefoglalás angol nyelven |
| Date Deposited: | 2018. Nov. 06. 11:36 |
| Last Modified: | 2020. Jul. 29. 12:29 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/55692 |
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