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All Journal E-Jurnal Matematika INTEGRAL CAUCHY: Jurnal Matematika Murni dan Aplikasi Kubik BAREKENG: Jurnal Ilmu Matematika dan Terapan Formatif: Jurnal Ilmiah Pendidikan MIPA Jurnal Abdimasa Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) BERNAS: Jurnal Pengabdian Kepada Masyarakat Jurnal Inovasi Penelitian KUBIK: Jurnal Publikasi Ilmiah Matematika Jurnal Ilmu Pendidikan Indonesia Jurnal Pengabdian Papua
Jonner Nainggolan
Jurusan Matematika FMIPA Universitas Cenderawasih, Jayapura Papua
Religion Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Dentistry Economics, Econometrics & Finance Education Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Medicine & Pharmacology Neuroscience Nursing Physics Public Health Social Sciences Transportation Veterinary Other

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Journal : E-Jurnal Matematika

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KONTROL PENGOBATAN OPTIMAL PADA MODEL PENYEBARAN TUBERKULOSIS TIPE SEIT JONNER NAINGGOLAN
E-Jurnal Matematika Vol 6 No 2 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2017.v06.i02.p158

Abstract

A tuberculosis model of SEIT type which incorporates treatment of infectives is considered. The population is divided into four compartments, that is: S are individuals in the susceptible compartment, E are individuals in the exposed compartments, I are individuals in the infected compartment, and T are individuals in the treatment compartments. For this model, controls on treatment is incorporated to reduce the actively infected individual compartments, via application of the Pontryagins Maximum Principle of optimal control theory. Numerical calculations with the approach of the Runge-Kutta method of fourth order can be seen that, the influence of the control treatment to more effectively reduce the number of individuals in the infected compartment compared with no controls. The basic reproduction ratio with control less compared with no controls.
Co-Authors Abraham Abraham Bettisari Napitupulu Bettisari Napitupulu Christine Mersi Rumpaisum Citra Ratna Napitupulu Fitriani Tandililing Happy Lumbantobing Hotlan Samosir Ida M Hutabarat Ida Mariati Hutabarat Irfan Wahyudi Joko Harianto Martinus Y. Ruamba Mira Aprilia Marcus Ronaldo Kho Sakka Irawan Sarni Rante Allo Bela SRI LESTARI Sroyer, Alvian Suzana Weyai Tiurlina Siregar Virman Virman Virman Virman Virman Virman Virman Virman Yohana Fransiska