A Dynamical Analysis of a Mathematical Model on Type-2 Diabetic From Obestiy
DOI:
https://doi.org/10.23755/rm.v46i0.1072Keywords:
Obesity, Diabetic, Pontryagain’s maximum principle, Lyapunov function, Stability.Abstract
The aim of this research is to construct a model for type-2 diabetic
from obesity using parameters based on the female population in India.
We have introduced two control variables as diet with physical
activity and medication. The positive endemic equilibrium is obtained.
The local and global stability of the model are analyzed with
some specific conditions. Numerical simulations are carried out to exhibit
the flow of variables with controls. Our study mainly highlights
the awareness of metabolic risk by healthy diet, physical activities
and medications.
References
W. Banzi, I. Kambutse, V. Dusabejambo, E. Rutaganda, F. Minani, J. Niyobuhungiro, L. Mpinganzima, and J. M. Ntaganda. Mathematical modelling of glucose-insulin system and test of abnormalities of type 2 diabetic patients, International Journal of Mathematics and Mathematical Sciences, 2021.
W. Boutayeb, M. E. Lamlili, A. Boutayeb, and M. Derouich. Mathematical modelling and simulation of -cell mass, insulin and glucose dynamics: Effect of genetic predisposition to diabetes. Journal of Biomedical Science and Engineering, 2014.
A. Boutayed, E. Twizell, K.Achouayb, and A.Chetouani. On the solution of fourth-order rational recursive sequence. Advanced Studies in Contemporary Mathematics, 20:525– 545, 2010.
K.Abdelfatah, L. Abderrahim, F. Hanane, B.Omar, and R.Mostafa. A new mathematical modeling with optimal control strategy for the dynamics of population of diabetics and its complications with effect of behavioral factors. Journal of Applied Mathematics, Hindawi, 2020.
N. Kumar, N. Puri, F. Marotta, T. Dhewa, S. Calabr`o, M. Puniya, and J. Carter. New insights into the noise reduction wiener filter. audio, speech, and language processing. Functional Foods in Health and Disease, 7:1 –16, 2017.
M. A. Ortega, O. Fraile-Mart´ınez, I. Naya, N. Garc´ıa-Honduvilla, M. A´ lvarez-Mon, J. Buja´n, A´ . Asu´nsolo, and B. de la Torre. Type 2 diabetes mellitusassociated with obesity (diabesity). the central role of gut microbiota and its translational applications. Nutrients, 12:2749, 2020.
Downloads
Published
Issue
Section
License
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:
- Free access for all users worldwide
- Increased visibility and readership
- Rapid publication
- No spatial constraints
- Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)
Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
For further information visit: https://creativecommons.org/licenses/by/3.0/. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards.
