Bifurcation and Stability Analysis of Glucose-Insulin Regulatory System in the Presence of β-Cells

被引：1
作者：
Kumari, Preety [1 ,2 ]
Singh, Swarn [3 ]
Singh, Harendra Pal [4 ]
机构：
[1] Univ Delhi, Fac Math Sci, Delhi 110007, India
[2] Cent Univ Haryana, Sch Engn & Technol, Mahendergarh 123031, India
[3] Univ Delhi, Sri Venkateswara Coll, Delhi 110021, India
[4] Univ Delhi, Cluster Innovat Ctr, Delhi 110007, India
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2021年 / 45卷 / 05期
关键词：
Glucose; Insulin; beta-cells; Equilibrium; Stability; Bifurcation; MATHEMATICAL-MODEL; DIABETES-MELLITUS; SENSITIVITY; DYNAMICS; KINETICS; RESISTANCE; HOMEOSTASIS; OBESITY; MASS;
D O I：
10.1007/s40995-021-01152-x
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Diabetes mellitus is one of the most extensive diseases in the world. The mathematical models are prevalent to study the dynamics of glucose, insulin, and beta-cells non-invasively. Therefore, to study the impact of beta-cells on the glucose-insulin regulatory system, a non-linear three-dimensional mathematical model is proposed. The dynamics of the glucose-insulin regulatory system comprising of boundedness of solutions, existence, and stability condition of equilibria are explored theoretically. Additionally, the conditions for saddle-node, transcritical, and Hopf-bifurcation are also examined. The results illustrate that the glucose-insulin regulatory system offers various dynamics in distinct circumstances. The proposed model is in good agreement with the real-life physical significance of glucose-insulin dynamics. Different types of diabetes conditions such as type 2 diabetes and hyperinsulinemia are also observed through the bifurcation analysis.
引用
收藏
页码：1743 / 1756
页数：14
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