Delay-Differential Equations for Glucose-Insulin Regulation

Maia Angelova, Sergiy Shelyag

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In this paper, a model based on a system of delay differential equations, describing a process of glucose-insulin regulation in the human body, is studied numerically. For simplicity, the system is based on a single delay due to the practical importance of one of the two delays appearing in more complex models. The stability of the system is investigated numerically. The regions, where the solutions demonstrate periodicity and asymptotic stability, are explicitly calculated. The sensitivity of the solutions to the parameters of the model, which describes the insulin production in the system, is analysed.
Original languageEnglish
Title of host publication2019-20 MATRIX Annals
EditorsDavid R. Wood, Jan de Gier, Cheryl E. Praeger , Terence Tao
Place of PublicationCham, Switzerland
PublisherSpringer International Publishing
Number of pages8
ISBN (Electronic)978-3-030-62497-2
ISBN (Print)978-3-030-62496-5
Publication statusPublished - 2021
Externally publishedYes

Publication series

NameMATRIX Book Series
ISSN (Print)2523-3041
ISSN (Electronic)2523-305X


  • Delay-Differential Equations
  • Diabetes
  • Glucose regulation
  • Insulin regulation


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