The stability of a nonlinear, age dependent population model, as applied to a biochemical reaction tank

DOI10.1016/0025-5564(86)90066-0zbMath0596.92018OpenAlexW2041354183MaRDI QIDQ1079143

J. H. Swart

Publication date: 1986

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(86)90066-0

zbMATH Keywords

limit cycle oscillationsmodelasymptotically stable orbitsMcKendrick populationnonlinear, age dependent population modelpopulation dynamics of a continuously fed chemical reactorself-exciting oscillations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Asymptotic stability in control theory (93D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Physiological, cellular and medical topics (92Cxx)

Related Items (7)

Hopf bifurcation and the stability of non-linear age-dependent population models ⋮ ON THE STABILITY OF A NON-LINEAR AGE-DEPENDENT POPULATION MODEL ⋮ Stable controls in age-dependent population dynamics ⋮ Persistence and extinction in continuous age-structured population models ⋮ On the Gurtin-MacCamy conjecture concerning the stability of a simple nonlinear age-dependent population model ⋮ Viable controls in age-dependent population dynamics ⋮ A simplified model for age-dependent population dynamics

Cites Work

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• Stability of biochemical reaction tanks
• Some simple models for nonlinear age-dependent population dynamics
• Non-linear age-dependent population dynamics

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