Optimal Control Problem of Treatment for Obesity in a Closed Population

المؤلفون المشاركون

Aldila, D.
Rarasati, N.
Soewono, Edy
Nuraini, Nuning

المصدر

International Journal of Mathematics and Mathematical Sciences

العدد

المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-7، 7ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2014-02-26

دولة النشر

مصر

عدد الصفحات

7

التخصصات الرئيسية

الرياضيات

الملخص 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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-459342