Transit times and mean ages for nonautonomous and autonomous compartmental systems

DOI10.1007/s00285-016-0990-8zbMath1358.34019arXiv1603.02497OpenAlexW2297040010WikidataQ31066973 ScholiaQ31066973MaRDI QIDQ338332

Folashade B. Agusto, Katherine E. O. Todd-Brown, Forrest M. Hoffman, Ying-Ping Wang, Benito M. Chen-Charpentier, Jiang Jiang, Ying Wang, Yiqi Luo, Matthew J. Smith, Martin Rasmussen, Alan Hastings

Publication date: 4 November 2016

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

Full work available at URL: https://arxiv.org/abs/1603.02497

zbMATH Keywords

linear systemexponential stabilitynonautonomous dynamical systemtransit timecarbon cycleCASA modelcompartmental systemMcKendrick-von Förster equationmean age

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05) Nonautonomous smooth dynamical systems (37C60)

Related Items (8)

On topological entropy and topological pressure of non-autonomous iterated function systems ⋮ A variational principle of the topological pressures for non-autonomous iterated function systems ⋮ Compartment Models with Memory ⋮ Dynamic ecological system measures. A holistic analysis of compartmental systems ⋮ Linear autonomous compartmental models as continuous-time Markov chains: transit-time and age distributions ⋮ Modelling transport and mean age of dense core vesicles in large axonal arbours ⋮ How old are dense-core vesicles residing in en passant boutons: simulation of the mean age of dense-core vesicles in axonal arbours accounting for resident and transiting vesicle populations ⋮ Occupancy times for time-dependent stage-structured models

Cites Work

• Mean residence times in linear compartmental systems. Symbolic formulae for their direct evaluation
• Attractivity and bifurcation for nonautonomous dynamical systems
• Dichotomies in stability theory
• Criteria for exponential dichotomy for triangular systems
• Dichotomy spectra of triangular equations
• Mathematical Models in Population Biology and Epidemiology
• Earth’s carbon cycle: A mathematical perspective
• Qualitative Theory of Compartmental Systems
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