Asymptotic behaviour of nonlinear semigroup describing a model of selective cell growth regulation

DOI10.1007/BF00167154zbMath0728.92010OpenAlexW1982339431WikidataQ52423259 ScholiaQ52423259MaRDI QIDQ805519

Ovide Arino, Marek Kimmel

Publication date: 1991

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00167154

zbMATH Keywords

survivalHeaviside functionasymptotic behaviorspectral radiusextinctionstability of equilibriumcell divisionproliferationcell cycle regulationfunctional integral equation modelselective growth regulationsemigroup of nonlinear positive operators

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Population dynamics (general) (92D25) Biochemistry, molecular biology (92C40) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Physiological, cellular and medical topics (92C99)

Related Items

Two simple models of almost the same population with very different dynamics, Oscillations and global attractivity in delay differential equations of population dynamics, An abstract neutral functional differential equation arising from a cell population model, Cell cycle kinetics with supramitotic control, two cell types, and unequal division: A model of transformed embryonic cells

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