An evolution system for a class of age-structured diffusive population equations

DOI10.3934/dcdsb.2022179OpenAlexW4297721096MaRDI QIDQ2697211

Christoph Walker

Publication date: 18 April 2023

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.07198

zbMATH Keywords

semigroups of linear operatorsevolution systemsage structure

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Population dynamics (general) (92D25) PDEs of mixed type (35M10)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Diffusion models for age-structured populations
• Positivity and stability for a population equation with diffusion on \(L^1\)
• Positive perturbation of operator semigroups: Growth bounds, essential compactness, and asynchronous exponential growth
• Asymptotic behaviour of a non-autonomous population equation with diffusion in \(L^1\)
• Some results based on maximal regularity regarding population models with age and spatial structure
• Non-linear age-dependent population dynamics
• Some remarks on the asymptotic behavior of the semigroup associated with age-structured diffusive populations
• Age-dependent equations with non-linear diffusion
• Linear evolution equations of hyperbolic type. II
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