The asymptotic behavior of a structured cell population

DOI10.1007/S00028-011-0100-8zbMath1252.35059OpenAlexW2161208662MaRDI QIDQ657041

Mohamed Boulanouar

Publication date: 13 January 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-011-0100-8

zbMATH Keywords

general boundary conditioncell-age structured populationnon-compact boundary conditionpositive and irreducible semigroup

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Population dynamics (general) (92D25)

Related Items (10)

Long-time behavior of a size-structured population model with diffusion and delayed birth process ⋮ The asymptotic behavior of an age-cycle structured cell model with delay ⋮ Asymptotic analysis of a size-structured cannibalism population model with delayed birth process ⋮ A continuum individual based model of fragmentation: dynamics of correlation functions ⋮ Asymptotic behaviors of a size-structured population model ⋮ Asymptotic analysis of a spatially and size-structured population model with delayed birth process ⋮ Asymptotic behavior of a hierarchical size-structured population model ⋮ Long-Time Behavior of Spatially and Size-Structured Population Dynamics with Delayed Birth Process ⋮ Asymptotic analysis of a size-structured population model with infinite states-at-birth ⋮ On a mathematical model of age-cycle length structured cell population with non-compact boundary conditions

Cites Work

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• A regularized semigroup for a Lebowitz-Rubinow's model
• One-Parameter Semigroups for Linear Evolution Equations
• The Stability of Positive Semigroups on L p Spaces
• A mathematical study in the theory of dynamic populations

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