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Optimal Control Solution of A Tuberculosis Transmission Model with Reccurent Infection and Vaccination Using C# Programming
Optimal Control Solution of A Tuberculosis Transmission Model with Reccurent Infection and Vaccination Using C# Programming
J. Nainggolan, Sudradjat Supian, A. K. Supriatna, N. Anggriani, Detiatrimargini
Universitas Padjadjaran, American Scientific Publishers Advanced Science Letters Vol. 20, 51-55, 2014
Bahasa Inggris
Universitas Padjadjaran, American Scientific Publishers Advanced Science Letters Vol. 20, 51-55, 2014
optimal control, Programming C#, treatment, tuberculosis, Vaccination
J. Nainggolan, Sudradjat Supian, A. K. Supriatna, N. Anggriani, Detiatrimargini
Universitas Padjadjaran, American Scientific Publishers Advanced Science Letters Vol. 20, 51-55, 2014
Bahasa Inggris
Universitas Padjadjaran, American Scientific Publishers Advanced Science Letters Vol. 20, 51-55, 2014
optimal control, Programming C#, treatment, tuberculosis, Vaccination
This paper presents a model of tuberculosis (TB) transmission with vaccination by explicitely considering the total number of recovered individuals, either from natural recovery or due to vaccination. Based on this continuous model, the tuberculosis control is formulated and solved as an optimal control theory problem, indicating how a control term in the population to reduce the number of individuals with active TB. Control model on treatment to reduce actively infected individual populations. The end of this study determined numerically solution of optimal control model of tuberculosis treatment approach Principle Pontryagin Maximum by using programming C#.
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