A singular limit for an age structured mutation problem

DOI10.3934/mbe.2017002zbMath1352.35197arXiv1605.07788OpenAlexW2397157154WikidataQ50544170 ScholiaQ50544170MaRDI QIDQ335235

Jacek Banasiak, Aleksandra Falkiewicz

Publication date: 2 November 2016

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

Full work available at URL: https://arxiv.org/abs/1605.07788

zbMATH Keywords

population dynamicsage structuresingularly perturbed dynamical systemsasymptotic state lumpingLebowitz-rotenberg modelmutation model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13)

Related Items (4)

A note on generalized Euler's formula ⋮ Generalized network transport and Euler-Hille formula ⋮ Transport on Networks—A Playground of Continuous and Discrete Mathematics in Population Dynamics ⋮ Bi-continuous semigroups for flows on infinite networks

Cites Work

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• On Hille-type approximation of degenerate semigroups of operators
• Semigroup approach to diffusion and transport problems on networks
• Dynamics of birth-and-death processes with proliferation -- stability and chaos
• A theory for the age and generation time distribution of a microbial population
• Time-continuous branching walk models of unstable gene amplification
• Spectral properties and asymptotic periodicity of flows in networks
• Some transport and diffusion processes on networks and their graph realizability
• Methods of small parameter in mathematical biology
• Semigroups for flows in infinite networks
• Asymptotic state lumping in transport and diffusion problems on networks with applications to population problems
• Convergence of One-Parameter Operator Semigroups
• Resolvent Positive Operators

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