Delay model of glucose-insulin systems: global stability and oscillated solutions conditional on delays

DOI10.1016/j.jmaa.2008.02.016zbMath1136.92008OpenAlexW2148452550MaRDI QIDQ924236

Pasquale Palumbo, Yongwimon Lenbury, Andrea De Gaetano, Dang Vu Giang

Publication date: 15 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.02.016

zbMATH Keywords

delay differential equationsslowly oscillating solutionsfull time solutions\(\omega \)-limit set of a persistent solution

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Physiology (general) (92C30) Oscillation theory of functional-differential equations (34K11) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

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Cites Work

• Introduction to functional differential equations
• On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation
• Delay effect in models of population growth
• Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays
• Qualitative behavior of a family of delay-differential models of the glucose-insulin system
• Periodicity and knots in delay models of population growth
• Mathematical models and software tools for the glucose\,-\,insulin regulatory system and diabetes: an overview
• Global stability in a model of the glucose-insulin interaction with time delay
• Analysis of a Model of the Glucose‐Insulin Regulatory System with Two Delays
• Analysis of IVGTT glucose-insulin interaction models with time delay