Back to Search
Start Over
A short proof for Hopf bifurcation in Gurtin-MacCamy's population dynamics model.
- Source :
- Proceedings of the American Mathematical Society; Aug2023, Vol. 151 Issue 8, p3561-3575, 15p
- Publication Year :
- 2023
-
Abstract
- In this paper, we provide a short proof for the Hopf bifurcation theorem in the Gurtin-MacCamy's population dynamics model. Here we use the Crandall and Rabinowitz's approach, based on the implicit function theorem. Compared with previous methods, here we require the age-specific birth rate to be slightly smoother (roughly of bounded variation), but we have a huge gain for the length of the proof. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 163842784
- Full Text :
- https://doi.org/10.1090/proc/15892