Dynamical analysis of a nonlinear model for glucose-insulin system incorporating delays and \(\beta\)-cells compartment

DOI10.1016/j.na.2009.01.129zbMath1238.34066OpenAlexW2068093344MaRDI QIDQ419878

Yongwimon Lenbury, Meechoke Chuedoung, Warunee Sarika

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.129

zbMATH Keywords

delay differential equationsglucose\(\beta \)-cellsinsulin feedback mechanismnonlinear mathematical model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Biochemistry, molecular biology (92C40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (7)

Hopf bifurcation and chaos in time-delay model of glucose-insulin regulatory system ⋮ A novel approach to numerical modeling of metabolic system: investigation of chaotic behavior in diabetes mellitus ⋮ Numerical Dynamics of Nonstandard Finite Difference Method for Nonlinear Delay Differential Equation ⋮ Unnamed Item ⋮ Chaos and Its Control in a Fractional Order Glucose-insulin Regulatory System ⋮ On the Solution of a Nonlinear Fractional-Order Glucose-Insulin System Incorporating β -cells Compartment ⋮ A New Time-Delay Model for Chaotic Glucose-Insulin Regulatory System

Cites Work

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• Qualitative behavior of a family of delay-differential models of the glucose-insulin system
• Numerical bifurcation analysis of delay differential equations arising from physiological modeling
• Analysis of IVGTT glucose-insulin interaction models with time delay

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