Modeling Impulsive Intake of Glucose: The Significance of Diet to Glucose-Insulin System
Joint Authors
Yao, Jiaoyan
Zhou, Xueyong
Shi, Xiangyun
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-15
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
It is important to get good dietary advice such as a daily value of exogenous glucose intake to keep blood glucose within reasonable range for everyone, especially for those with diabetes mellitus or with borderline diabetes mellitus.
In this paper, two novel glucose-insulin models with impulsive glucose intake are considered to investigate the significance of diet to the glucose-insulin system.
For the first model, we prove the positiveness, boundedness, and permanence of the solutions and then the existence and stability of the periodic solutions are demonstrated.
For the second model, we consider the insulin secretion delay based on the first model.
The sufficient delay-dependent conditions which determine the stability of the periodic solution are also obtained.
In addition, the theoretical results are verified by numerical simulation.
The results can give people some dietary advice how to prevent diabetes, and also, the intake amount and frequency of the exogenous glucose from diet are recommended for diabetic patients to assist in the treatment of diabetes.
American Psychological Association (APA)
Shi, Xiangyun& Yao, Jiaoyan& Zhou, Xueyong. 2020. Modeling Impulsive Intake of Glucose: The Significance of Diet to Glucose-Insulin System. Complexity،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1142696
Modern Language Association (MLA)
Shi, Xiangyun…[et al.]. Modeling Impulsive Intake of Glucose: The Significance of Diet to Glucose-Insulin System. Complexity No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1142696
American Medical Association (AMA)
Shi, Xiangyun& Yao, Jiaoyan& Zhou, Xueyong. Modeling Impulsive Intake of Glucose: The Significance of Diet to Glucose-Insulin System. Complexity. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1142696
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142696