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
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
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر