A model of proliferating cell populations with infinite cell cycle length: Semigroup existence

DOI10.1007/S10440-008-9355-7zbMath1193.47042OpenAlexW2073030620MaRDI QIDQ973793

Mohamed Boulanouar

Publication date: 26 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9355-7

zbMATH Keywords

well-posednesscell population dynamicsboundary conditionsemigroup method

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Population dynamics (general) (92D25) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (5)

Fixed point methods and accretivity for perturbed nonlinear equations in Banach spaces ⋮ Existence results for some nonlocal partial integrodifferential equations without compactness or equicontinuity ⋮ A model of proliferating cell populations with infinite cell cycle length: asymptotic behavior ⋮ Well-posedness of a nonlinear evolution equation arising in growing cell population ⋮ On a mathematical model of age-cycle length structured cell population with non-compact boundary conditions

Cites Work

• A model of proliferating cell populations with infinite cell cycle length: asymptotic behavior
• A model of proliferating cell populations with inherited cycle length
• Dynamics of structured populations with inherited properties
• A theory for the age and generation time distribution of a microbial population
• A regularized semigroup for a Lebowitz-Rubinow's model
• One-Parameter Semigroups for Linear Evolution Equations
• A mathematical study in the theory of dynamic populations
• Unnamed Item

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