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A Nonstandard Dynamically Consistent Numerical Scheme Applied to Obesity Dynamics
Joint Authors
Villanueva Micó, Rafael Jacinto
Arenas, Abraham J.
González-Parra, Gilberto
Source
Journal of Applied Mathematics
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-12-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The obesity epidemic is considered a health concern of paramount importance in modern society.
In this work, a nonstandard finite difference scheme has been developed with the aim to solve numerically a mathematical model for obesity population dynamics.
This interacting population model represented as a system of coupled nonlinear ordinary differential equations is used to analyze, understand, and predict the dynamics of obesity populations.
The construction of the proposed discrete scheme is developed such that it is dynamically consistent with the original differential equations model.
Since the total population in this mathematical model is assumed constant, the proposed scheme has been constructed to satisfy the associated conservation law and positivity condition.
Numerical comparisons between the competitive nonstandard scheme developed here and Euler's method show the effectiveness of the proposed nonstandard numerical scheme.
Numerical examples show that the nonstandard difference scheme methodology is a good option to solve numerically different mathematical models where essential properties of the populations need to be satisfied in order to simulate the real world.
American Psychological Association (APA)
Villanueva Micó, Rafael Jacinto& Arenas, Abraham J.& González-Parra, Gilberto. 2008. A Nonstandard Dynamically Consistent Numerical Scheme Applied to Obesity Dynamics. Journal of Applied Mathematics،Vol. 2008, no. 2008, pp.1-14.
https://search.emarefa.net/detail/BIM-487388
Modern Language Association (MLA)
Villanueva Micó, Rafael Jacinto…[et al.]. A Nonstandard Dynamically Consistent Numerical Scheme Applied to Obesity Dynamics. Journal of Applied Mathematics No. 2008 (2008), pp.1-14.
https://search.emarefa.net/detail/BIM-487388
American Medical Association (AMA)
Villanueva Micó, Rafael Jacinto& Arenas, Abraham J.& González-Parra, Gilberto. A Nonstandard Dynamically Consistent Numerical Scheme Applied to Obesity Dynamics. Journal of Applied Mathematics. 2008. Vol. 2008, no. 2008, pp.1-14.
https://search.emarefa.net/detail/BIM-487388
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487388