Global asymptotic stability for Gurtin-MacCamy’s population dynamics model

DOI10.1090/proc/15629zbMath1530.92184arXiv2105.07412OpenAlexW3159603921MaRDI QIDQ6183391

Pierre Magal, Zhaohai Ma

Publication date: 4 January 2024

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

Full work available at URL: https://arxiv.org/abs/2105.07412

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45)

Cites Work

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• Hopf bifurcation for non-densely defined Cauchy problems
• Stability results for delayed-recruitment models in population dynamics
• Perturbation of a globally stable steady state and uniform persistence
• Non-linear age-dependent population dynamics
• Theory and applications of abstract semilinear Cauchy problems
• Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models
• Lyapunov functional and global asymptotic stability for an infection-age model
• Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models
• Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
• Dynamical systems in population biology

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