Modeling and qualitative analysis of diabetes therapies with state feedback control

DOI10.1142/S1793524514500351zbMath1329.92057OpenAlexW1148434026MaRDI QIDQ2922119

Mingzhan Huang, Xinyu Song

Publication date: 9 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524514500351

zbMATH Keywords

periodic solutionsuccessor functionglucose-insulin systemstate impulse

Mathematics Subject Classification ID

Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (10)

Modeling impulsive resource inputs in host–parasitoid interactions with time delays ⋮ Finite-time control of plasma glucose in insulin therapies for diabetes ⋮ Modelling and qualitative analysis of water hyacinth ecological system with two state-dependent impulse controls ⋮ A pest management model with stage structure and impulsive state feedback control ⋮ Modeling impulsive intake of glucose: the significance of diet to glucose-insulin system ⋮ Analysis of a negative binomial host–parasitoid model with two maturation delays and impulsive resource input ⋮ Dynamics of bilateral control system with state feedback for price adjustment strategy ⋮ Dynamical analysis of a two-species competitive system with state feedback impulsive control ⋮ Impulsive state feedback control during the sulphitation reaction in process of manufacture of sugar ⋮ Heteroclinic bifurcation for a general predator-prey model with Allee effect and state feedback impulsive control strategy

Cites Work

• The range of time delay and the global stability of the equilibrium for an IVGTT model
• The geometrical analysis of a predator-prey model with two state impulses
• Mathematical modelling of the intravenous glucose tolerance test
• Mathematical modeling and qualitative analysis of insulin therapies
• HOMOCLINIC BIFURCATION IN SEMI-CONTINUOUS DYNAMIC SYSTEMS
• Modeling Impulsive Injections of Insulin: Towards Artificial Pancreas
• Analysis of a Model of the Glucose‐Insulin Regulatory System with Two Delays

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