Semigroup formulation and approximation of a linear age-dependent population problem with spatial diffusion

DOI10.1007/BF02573475zbMath0827.92021MaRDI QIDQ1328452

Waltraud Huyer

Publication date: 13 December 1995

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135338

zbMATH Keywords

Hilbert spacemortality rateTrotter-Kato formulaspatial diffusionage-structured population modelfertility rateapproximate schemes

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Population dynamics (general) (92D25)

Related Items (12)

Age-structured population dynamics with nonlocal diffusion ⋮ Traveling waves of an epidemic model with general nonlinear incidence rate and infection-age structure ⋮ New discussion concerning to optimal control for semilinear population dynamics system in Hilbert spaces ⋮ Time optimal internal controls for the Lotka-McKendrick equation with spatial diffusion ⋮ Detectability and state estimation for linear age-structured population diffusion models ⋮ Approximate controllability of the semilinear population dynamics system with diffusion ⋮ Some remarks on the asymptotic behavior of the semigroup associated with age-structured diffusive populations ⋮ Nonlinear age-structured population models with nonlocal diffusion and nonlocal boundary conditions ⋮ Some results based on maximal regularity regarding population models with age and spatial structure ⋮ Null controllability of the Lotka-McKendrick system with spatial diffusion ⋮ Differentiability of the age-dependent population system with time delay in the birth process ⋮ Controllability and positivity constraints in population dynamics with age structuring and diffusion

Cites Work

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• On the semigroups of age-size dependent population dynamics with spatial diffusion
• Approximation of infinite delay and Volterra type equations
• Two families of approximation schemes for delay systems
• Transformation semigroups and \(L^ 1\)-approximation for size structured population models
• Approximation of linear age-structured population models using Legendre polynomials

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