Optimal Control Problem of Treatment for Obesity in a Closed Population
Joint Authors
Aldila, D.
Rarasati, N.
Soewono, Edy
Nuraini, Nuning
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-26
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Variety of intervention programs for controlling the obesity epidemic has been done worldwide.
However, it is still not yet available a scientific tool to measure the effectiveness of those programs.
This is due to the difficulty in parameterizing the human interaction and transition process of obesity.
A dynamical model for simulating the interaction between healthy people, overweight people, and obese people in a randomly mixed population is discussed in here.
Two scenarios of intervention programs were implemented in the model, dietary program for overweight people with healthy life campaign and treatment program for obese people.
Assuming all control rates are constant, disease free equilibrium point, endemic equilibrium point, and basic reproductive ratio (ℛ0) as the epidemic indicator were shown analytically.
We find that the disease free equilibrium point is locally asymptotical stable if and only if ℛ0<1.
From sensitivity analysis of ℛ0, we obtain that larger rate of dietary program and treatment program will reduce ℛ0 significantly.
With control rates are continuous in time, an optimal control approach was applied into the model to find the best way to minimize the number of overweight and obese people.
Some numerical analysis and simulations for optimal control of the intervention were shown to support the analytical results.
American Psychological Association (APA)
Aldila, D.& Rarasati, N.& Nuraini, Nuning& Soewono, Edy. 2014. Optimal Control Problem of Treatment for Obesity in a Closed Population. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-459342
Modern Language Association (MLA)
Aldila, D.…[et al.]. Optimal Control Problem of Treatment for Obesity in a Closed Population. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-459342
American Medical Association (AMA)
Aldila, D.& Rarasati, N.& Nuraini, Nuning& Soewono, Edy. Optimal Control Problem of Treatment for Obesity in a Closed Population. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-459342
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459342