Algebraic-delay differential systems, state-dependent delay, and temporal order of reactions

DOI10.1007/s10884-009-9129-6zbMath1167.34026OpenAlexW2032323812MaRDI QIDQ1016062

Hans-Otto Walther

Publication date: 4 May 2009

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-009-9129-6

zbMATH Keywords

delay differential equationsstate-dependent delaytemporal orderwhite blood cells

Mathematics Subject Classification ID

Physiology (general) (92C30) General theory of functional-differential equations (34K05) Infinite-dimensional dissipative dynamical systems (37L99)

Related Items (8)

Abstract algebraic-delay differential systems and age structured population dynamics ⋮ A stable rapidly oscillating periodic solution for an equation with state-dependent delay ⋮ Linearized stability for semiflows generated by a class of neutral equations, with applications to state-dependent delays ⋮ A periodic solution with non-simple oscillation for an equation with state-dependent delay and strictly monotonic negative feedback ⋮ Algebraic-delay differential systems: $C^0$-extendable submanifolds and linearization ⋮ Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations ⋮ Coupled fixed points of multivalued operators and first-order ODEs with state-dependent deviating arguments ⋮ An immuno-epidemiological model with threshold delay: a study of the effects of multiple exposures to a pathogen

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