Cycles in nonlinear age-structured models. I. Renewal equations

DOI10.1016/0040-5809(87)90037-2zbMath0629.92016OpenAlexW1979290228WikidataQ52591133 ScholiaQ52591133MaRDI QIDQ1094354

Shripad D. Tuljapurkar

Publication date: 1987

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(87)90037-2

zbMATH Keywords

age-structureFloquet multipliernonlinear renewal equationcohort-controlled fertility in humansdensity-dependent population modelsEasterlin effectexistence and stability of periodic solutionsHopf-bifurcation resultsustained population cycles

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Volterra integral equations (45D05) Qualitative behavior of solutions to integral equations (45M99)

Related Items (8)

Generalized Lotka stability ⋮ Modelling the interaction between the sexes ⋮ The cohort feedback model with symmetric net maternity ⋮ Cycles in the two‐sex problem: An investigation of a nonlinear demographic model ⋮ Capital accumulation, aspiration adjustment, and population growth: Limit cycles in an Easterlin‐type model ⋮ Exploring cyclic net reproduction ⋮ The solution of time‐dependent population models ⋮ Stability of discrete age-structured and aggregated delay-difference population models

Cites Work

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• Hopf bifurcation for functional equations
• A dynamic model for human population growth
• On the theory and application of the Hopf-Friedrich Bifurcation theory
• Non-linear age-dependent population dynamics
• Forward and backward continuation for neutral functional differential equations
• Qualitative methods in bifurcation theory

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