A study of the fractional-order mathematical model of diabetes and its resulting complications

被引：47
|
作者：
Srivastava, Hari M. [1 ,2 ]
Dubey, Ravi Shanker [3 ]
Jain, Monika [4 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[3] Amity Univ, Amity Sch Engn & Technol, Dept Math, Jaipur, Rajasthan, India
[4] JECRC Univ, Dept Math, Jaipur, Rajasthan, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 13期
关键词：
diabetes and its resulting complications; existence; fractional calculus; fractional-order modeling; homotopy decomposition method (HDM); uniqueness and stability; HOMOTOPY PERTURBATION METHOD; BIRTH-WEIGHT; INCREASED RISK; SMOKING;
D O I：
10.1002/mma.5681
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Diabetes is a worldwide problem that affects one of every 11 persons nowadays. The IDF Diabetes Atlas (Eighth edition, 2017) states that approximately 415 million people in the world are living with the disease and that this number will rise to 629 million by the year 2045. It is a very serious problem of the world. A major part of the world population is affected by this disease and its resulting complications. In this paper, we propose to investigate a fractional-order model of diabetes and its resulting complications. The mathematical model's parameters define the population of diabetic patients and those who are diabetic with complications at a given time t. We have also discussed the existence, uniqueness, and stability of the fractional-order model, which we consider here. We make use of the homotopy decomposition method (HDM) in order to solve the problem.
引用
收藏
页码：4570 / 4583
页数：14
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