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Hopf Bifurcation of a Delayed Single Population Model with Patch Structure.
- Source :
- Journal of Dynamics & Differential Equations; Jun2023, Vol. 35 Issue 2, p1457-1487, 31p
- Publication Year :
- 2023
-
Abstract
- In this paper, we show the existence of a Hopf bifurcation in a delayed single population model with patch structure. The effect of the dispersal rate on the Hopf bifurcation is considered. Especially, if each patch is favorable for the species, we show that when the dispersal rate tends to zero, the limit of the Hopf bifurcation value is the minimum of the "local" Hopf bifurcation values over all patches. On the other hand, when the dispersal rate tends to infinity, the Hopf bifurcation value tends to that of the "average" model. [ABSTRACT FROM AUTHOR]
- Subjects :
- HOPF bifurcations
BIFURCATION diagrams
SPECIES
Subjects
Details
- Language :
- English
- ISSN :
- 10407294
- Volume :
- 35
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Dynamics & Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 163914495
- Full Text :
- https://doi.org/10.1007/s10884-021-09946-8