Periodic oscillations in a model of the glucose–insulin interaction with delay and periodic forcing

DOI10.1080/1468936042000203552zbMath1053.92019OpenAlexW2098916817MaRDI QIDQ3155188

D. L. Bennett, Stephen A. Gourley

Publication date: 14 January 2005

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1468936042000203552

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Physiology (general) (92C30) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Related Items (7)

Qualitative analysis of subcutaneous lispro and regular insulin injections for stress hyperglycemia: A pilot numerical study ⋮ The range of time delay and the global stability of the equilibrium for an IVGTT model ⋮ Finite-time control of plasma glucose in insulin therapies for diabetes ⋮ Global stability and periodicity in a glucose-insulin regulation model with a single delay ⋮ Mathematical modeling and qualitative analysis of insulin therapies ⋮ Enhanced modelling of the glucose–insulin system and its applications in insulin therapies ⋮ Delay-differential equations for glucose-insulin regulation

Cites Work

• Models for the insulin response to intravenous glucose
• Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays.
• Asymptotic properties of a delay differential equation model for the interaction of glucose with plasma and interstitial insulin.
• Dynamics of a non-autonomous ratio-dependent predator—prey system
• Applications of functional analysis and operator theory
• Periodic solutions of periodic delay Lotka-Volterra equations and systems

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