Optimal linear stability condition for scalar differential equations with distributed delay
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Publication:258252
DOI10.3934/dcdsb.2015.20.1855zbMath1335.34112arXiv1405.7333OpenAlexW2963352210WikidataQ57046867 ScholiaQ57046867MaRDI QIDQ258252
Samuel Bernard, Fabien Crauste
Publication date: 10 March 2016
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.7333
Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Control problems for functional-differential equations (34K35) Cell biology (92C37)
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Cites Work
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- Characterization of stem cells using mathematical models of multistage cell lineages
- Stability of linear differential equations with a distributed delay
- Delay differential equations: with applications in population dynamics
- Asymptotic behavior of a differential equation with distributed delays
- Intracellular delay limits cyclic changes in gene expression
- Stability for functional differential equations and some variational problems
- Delayed feedback control near Hopf bifurcation
- Stability implications of delay distribution for first-order and second-order systems
- Distributed delays stabilize neural feedback systems
- The stability chart for the linearized Cushing equation with a discrete delay and with gamma-distributed delays
- Discrete delay, distributed delay and stability switches
- Geometric and probabilistic stability criteria for delay systems
- Intrinsic parameters and stability of differential-delay equations
- Introduction to functional differential equations
- Understanding cyclical thrombocytopenia: a mathematical modeling approach
- Functional differential equations with infinite delays
- Age-structured and two-delay models for erythropoiesis
- Oscillations in cyclical neutropenia: new evidence based on mathematical modeling
- A mathematical model of hematopoiesis. I: Periodic chronic myelogenous leukemia
- A mathematical model of hematopoiesis. II: Cyclical neutropenia
- New stability conditions for systems with distributed delays
- Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
- Stability of equations with a distributed delay, monotone production and nonlinear mortality
- Stability and Hopf Bifurcation for a First-Order Delay Differential Equation with Distributed Delay
- Approximating the Stability Region for a Differential Equation with a Distributed Delay
- Nonoccurrence of stability switching in systems of differential equations with distributed delays
- Oscillation and Chaos in Physiological Control Systems
- An Analysis of Delay-Dependent Stability for Ordinary and Partial Differential Equations with Fixed and Distributed Delays
- Modelling transcriptional feedback loops: the role of Gro/TLE1 in Hes1 oscillations
- Bifurcation and Bistability in a Model of Hematopoietic Regulation
- A Mathematical Study of the Hematopoiesis Process with Applications to Chronic Myelogenous Leukemia
- Applied Delay Differential Equations
- Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation
- Sufficient conditions for stability of linear differential equations with distributed delay
- Multistability in an age-structured model of hematopoiesis: cyclical neutropenia
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