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Global asymptotic stability of the size distribution in probabilistic models of the cell cycle

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Publication:802489
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DOI10.1007/BF00276546zbMath0558.92012OpenAlexW2071095014WikidataQ47229561 ScholiaQ47229561MaRDI QIDQ802489

John J. Tyson, Kenneth B. Hannsgen

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00276546

zbMATH Keywords

global asymptotic stabilitysize distributioncell cyclerecursion relationexponential growth of cellsgeneration time distributionlinear cell growthtransition probability model


Mathematics Subject Classification ID

Population dynamics (general) (92D25) Asymptotics of solutions to integral equations (45M05)


Related Items

Stability in \(L^ 1\) of some integral operators, Instability of the steady state solution in cell cycle population structure models with feedback, On the stability of the cell-size distribution II: Time-periodic developmental rates, Genetic control models with diffusion and delays, Positive semigroups and perturbations of boundary conditions, Stability of the steady-state size distribution in a model of cell growth and division



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