A short proof for Hopf bifurcation in Gurtin-MacCamy’s population dynamics model

DOI10.1090/PROC/15892zbMath1514.92083arXiv2105.07478OpenAlexW3160603620WikidataQ122609345 ScholiaQ122609345MaRDI QIDQ6039985

Arnaut Ducrot, Pierre Magal, Hao Kang

Publication date: 24 May 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.07478

zbMATH Keywords

Hopf bifurcationpopulation dynamicsage structure

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Integrated semigroups (47D62)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On integrated semigroups and age structured models in \(L^p\) spaces.
• Hopf bifurcation for non-densely defined Cauchy problems
• Oscillations and stability due to juvenile competitive effects on adult fertility
• Bifurcation of time periodic solutions of the McKendrick equations with applications to population dynamics
• On the qualitative behaviour of populations with age-specific interactions
• Hopf bifurcation and the stability of non-linear age-dependent population models
• The Hopf bifurcation theorem in infinite dimensions
• Periodic solutions for nonlinear equations of structured populations
• Non-linear age-dependent population dynamics
• Theory and applications of abstract semilinear Cauchy problems
• Essential growth rate for bounded linear perturbation of nondensely defined Cauchy problems
• Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models

This page was built for publication: A short proof for Hopf bifurcation in Gurtin-MacCamy’s population dynamics model