Back to Search
Start Over
Hopf Bifurcation in a Delayed Population Model Over Patches with General Dispersion Matrix and Nonlocal Interactions.
- Source :
- Journal of Dynamics & Differential Equations; Dec2023, Vol. 35 Issue 4, p3521-3543, 23p
- Publication Year :
- 2023
-
Abstract
- In this paper, we consider a single species population model over patches with delay and nonlocal interactions, for which no symmetry for the dispersion (connection) matrix is assumed. We show that there exists a positive equilibrium when the dispersal rate is large. We also discuss the stability/instability of this positive equilibrium, establish the threshold dynamics and explore the associated Hopf bifurcation. Moreover, we demonstrate our theoretical results by a nonlocal logistic population model and by the Nicholson's blowflies model. [ABSTRACT FROM AUTHOR]
- Subjects :
- HOPF bifurcations
DISPERSION (Chemistry)
BLOWFLIES
BIFURCATION diagrams
Subjects
Details
- Language :
- English
- ISSN :
- 10407294
- Volume :
- 35
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Journal of Dynamics & Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 173721807
- Full Text :
- https://doi.org/10.1007/s10884-021-10070-w