A semigroup approach to age-dependent population dynamics with time delay

DOI10.1080/03605308908820630zbMath0691.92014OpenAlexW1965768699MaRDI QIDQ3033606

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Publication date: 1989

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308908820630

zbMATH Keywords

balance equationcharacteristic equationinfinitesimal generatornonlinear semigroupfirst order partial differential equationsage densityage dependent fertilityage dependent mortalitylinear, age-structured population model with time delaylogistic age-dependent model with delayMcKendrick type models

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Asymptotic behavior of solutions to PDEs (35B40) Spectral theory and eigenvalue problems for partial differential equations (35P99) Population dynamics (general) (92D25) Groups and semigroups of linear operators (47D03) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Structured populations, linear semigroups and positivity
• Oscillations in a delay-logistic equation
• On the Integral Equation of Renewal Theory

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