A critical review of mathematical models and data used in diabetology

A Boutayeb, A Chetouani - Biomedical engineering online, 2006 - Springer
The literature dealing with mathematical modelling for diabetes is abundant. During the last
decades, a variety of models have been devoted to different aspects of diabetes, including …

On the analysis of fractional diabetes model with exponential law

J Singh, D Kumar, D Baleanu - Advances in Difference Equations, 2018 - Springer
In this work, we study the diabetes model and its complications with the Caputo–Fabrizio
fractional derivative. A deterministic mathematical model pertaining to the fractional …

ODE models for the management of diabetes: A review

S Rathee, Nilam - International Journal of Diabetes in Developing …, 2017 - Springer
Diabetes also known as diabetes mellitus is a chronic and complex metabolic disease due
to the persistent raised blood glucose concentration for long duration. The mechanism …

Intelligent local search for an optimal control of diabetic population dynamics

EO Abdellatif, EM Karim, B Hicham, C Saliha - Mathematical Models and …, 2022 - Springer
Diabetes is a chronic disease that affects millions of people in the world. This work has two
objectives:(a) elaboration of a state of the art on the different dynamic systems with …

Multi-objectives optimization and convolution fuzzy C-means: control of diabetic population dynamic

K El Moutaouakil, A El Ouissari, B Hicham… - RAIRO-Operations …, 2022 - rairo-ro.org
The optimal control models proposed in the literature to control a population of diabetics are
all single-objective which limits the identification of alternatives and potential opportunities …

Development and analysis of a mathematical model for the population dynamics of Diabetes Mellitus during pregnancy

AAM Daud, CQ Toh, S Saidun - Mathematical Models and Computer …, 2020 - Springer
Diabetes Mellitus (DM) during pregnancy is a major global public health burden with various
adverse outcomes. In this paper, a mathematical model of the population dynamics of DM …

Population models of diabetes mellitus by ordinary differential equations: a review

H Nasir, AA Mat Daud - Mathematical Population Studies, 2022 - Taylor & Francis
Population models of diabetes using ordinary differential equations are reviewed. They are
refined by incorporating non-diabetics, prediabetics, low awareness prediabetics …

Modeling diabetes progression with risk factors: A case study in China

S Yao, Y Shen, J Xiong, L Wei, J Zhao, Z Wang… - Computers in Biology …, 2025 - Elsevier
Background Approximately 537 million adults worldwide have diabetes, more than 90% of
which is type 2 diabetes mellitus (T2DM). China has the largest number of people living with …

A population model of diabetes and pre-diabetes

A Boutayeb, A Chetouani - International Journal of Computer …, 2007 - Taylor & Francis
The incidence and prevalence of diabetes are increasing all over the world. Complications
of diabetes constitute a burden for individuals and the whole of society. In the present paper …

[PDF][PDF] Fractional order glucose insulin model with generalized Mittag-Leffler kernel

A Akgül, M Farman, A Ahmad, A Khan, S Zahran… - Appl …, 2023 - naturalspublishing.com
TIn this paper, We formulate a fractional-order mathematical model for the populations of
diabetic patients consist threecompartment G, X, and I. Diabetes Model is investigated with …