Research map: Stability of linear delay differential systems via Laplace transformation
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Papers in this map
On the LambertW function
· Robert M. Corless · 1996 · 6254 citations · Cited by this paper
Dynamical behavior of an HIV infection model with treatment failure, adherence, and drug resistance
· Maria Batool · 2026 · Cites this paper
Simultaneous parameter and function discovery in differential equations using physics-informed neural networks
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Solving DDEs in Matlab
· Lawrence F. Shampine · 2001 · 554 citations · Cited by this paper
Adding a fecundity-survival trade-off to a discrete population model with maturation delay
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On stability crossing curves for general systems with two delays
· Keqin Gu · 2005 · 372 citations · Cited by this paper
Modeling melanoma-immune interactions with a physiological delay incorporating dendritic cell vaccines and anti-PD-1 therapy
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Mathematical modelling of the intravenous glucose tolerance test
· Andrea De Gaetano · 2000 · 357 citations · Cited by this paper
Simulating reentrant mechanisms under structural remodeling: A computational model based on complex-order operators
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Analysis of a System of Linear Delay Differential Equations
· Farshid Maghami Asl · 2003 · 297 citations · Cited by this paper
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Computer model for mechanisms underlying ultradian oscillations of insulin and glucose
· Jeppe Sturis · 1991 · 262 citations · Cited by this paper
Time evolution of infection state correlation of nodes in an SIR model on a random contact network
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Modeling the glucose–insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays
· Jiaxu Li · 2006 · 243 citations · Cited by this paper
Mathematical modeling of neural stem cell migration within brain using multi-fiber tractography
· 2026 · Related
Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays
· Leslie P. Shayer · 2000 · 240 citations · Cited by this paper
The impact of diapause eggs on mosquito population suppression based on constant release of sterile mosquitoes
· 2026 · Related
Modeling the Insulin–Glucose Feedback System: The Significance of Pulsatile Insulin Secretion
· Iva M. Tolić · 2000 · 216 citations · Cited by this paper
A delay differential model for antiviral treatment and rebound dynamics
· 2026 · Related
A basic mathematical model of the immune response
· Hannah Mayer · 1995 · 126 citations · Cited by this paper
Dynamics in an almost periodic metapopulation with competition and habitat destruction: An exponential dichotomy based approach
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Analysis of a Model of the Glucose‐Insulin Regulatory System with Two Delays
· Jiaxu Li · 2007 · 97 citations · Cited by this paper
Analysis of IVGTT glucose-insulin interaction models with time delay
· Jiaxu Li · 2001 · 94 citations · Cited by this paper
Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters
· Qi An · 2018 · 94 citations · Cited by this paper
General relativity and quantum mechanics: towards a generalization of the Lambert W function A Generalization of the Lambert W Function
· Tony C. Scott · 2006 · 89 citations · Cited by this paper
Asymptotic properties of a delay differential equation model for the interaction of glucose with plasma and interstitial insulin
· Deborah L. BENNETT · 2003 · 68 citations · Cited by this paper
Periodic and chaotic oscillations in a tumor and immune system interaction model with three delays
· Ping Bi · 2014 · 66 citations · Cited by this paper
Convergence Analysis of the Solution of Retarded and Neutral Delay Differential Equations by Continuous Numerical Methods
· Wayne H. Enright · 1998 · 66 citations · Cited by this paper
Stability Crossing Set for Systems With Three Delays
· Keqin Gu · 2010 · 64 citations · Cited by this paper
Numerical stability of nonlinear delay differential equations of neutral type
· Alfredo Bellen · 2000 · 64 citations · Cited by this paper
Nonlinear dynamics in tumor-immune system interaction models with delays
· Shigui Ruan · 2020 · 43 citations · Cited by this paper
Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices
· Ahmed M. Elshenhab · 2021 · 27 citations · Cited by this paper
Stability crossing set for systems with two scalar-delay channels
· Mohammad Naghnaeian · 2013 · 23 citations · Cited by this paper
Oscillatory dynamics of an intravenous glucose tolerance test model with delay interval
· Xiangyun Shi · 2017 · 23 citations · Cited by this paper
Accuracy of the Laplace transform method for linear neutral delay differential equations
· Gilbert Kerr · 2022 · 17 citations · Cited by this paper
A Novel Model and its Analysis on the Metabolic Regulations of Glucose, Insulin, and Glucagon
· Reed B. Cohen · 2021 · 16 citations · Cited by this paper
Explicit solution of a Lotka-Sharpe-McKendrick system involving neutral delay differential equations using the r-Lambert W function
· Cristeta U. Jamilla · 2020 · 14 citations · Cited by this paper
Viral dynamics of a latent HIV infection model with Beddington-DeAngelis incidence function, B-cell immune response and multiple delays
· Yan Wang · 2020 · 11 citations · Cited by this paper
Stability crossing set for systems with three scalar delay channels
· Keqin Gu · 2014 · 9 citations · Cited by this paper
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