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Kendali Optimal Model Siklus Hidup Cacing Schistosoma japonicum dengan Prinsip Minimum Pontryagin

Main Authors: Sriwahyuni, Sriwahyuni; Program Studi Matematika, Jurusan Matematika FMIPA, Universitas Tadulako, Jalan Soekarno-Hatta Km.09 Tondo, Palu 94118, Indonesia, Ratianingsih, Rina; Program Studi Matematika, Jurusan Matematika FMIPA, Universitas Tadulako, Jalan Soekarno-Hatta Km.09 Tondo, Palu 94118, Indonesia, Hajar, Hajar; Program Studi Matematika, Jurusan Matematika FMIPA, Universitas Tadulako, Jalan Soekarno-Hatta Km.09 Tondo, Palu 94118, Indonesia
Format: Article application/pdf eJournal
Bahasa: eng
Terbitan: Balai Penelitian dan Pengembangan Pengendalian Penyakit Bersumber Binatang Donggala , 2017
Subjects:
optimal control
Pontryagin minimum principle
Schistosoma japonicum
Online Access: http://ejournal.litbang.depkes.go.id/index.php/vektorp/article/view/6259
ctrlnum article-6259
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author Sriwahyuni, Sriwahyuni; Program Studi Matematika, Jurusan Matematika FMIPA, Universitas Tadulako, Jalan Soekarno-Hatta Km.09 Tondo, Palu 94118, Indonesia
Ratianingsih, Rina; Program Studi Matematika, Jurusan Matematika FMIPA, Universitas Tadulako, Jalan Soekarno-Hatta Km.09 Tondo, Palu 94118, Indonesia
Hajar, Hajar; Program Studi Matematika, Jurusan Matematika FMIPA, Universitas Tadulako, Jalan Soekarno-Hatta Km.09 Tondo, Palu 94118, Indonesia
title Kendali Optimal Model Siklus Hidup Cacing Schistosoma japonicum dengan Prinsip Minimum Pontryagin
publisher Balai Penelitian dan Pengembangan Pengendalian Penyakit Bersumber Binatang Donggala
publishDate 2017
topic optimal control
Pontryagin minimum principle
Schistosoma japonicum
url http://ejournal.litbang.depkes.go.id/index.php/vektorp/article/view/6259
contents Schistosomiasis is an infectious disease caused by trematodes, of the genus Schistosoma. In Indonesia the disease is caused by Schistosoma japonicum. The worm life cycle is specific because its habitat is not only on human body or some other mammal but also in snail. This research is aimed to a mathematical model of the worm cycle and investigates the optimal control of the model. The mathematically control was conducted by put a time dependent parameter ρ (t) to the model that represents a medical treatment to infected humans. The governed model, that has an endemic stable critical point, describes a transferred worm cycle of several phases. The optimal control is determined by the Minimum Pontryagin Principle. The simulation of the model shows that, for such initial condition of the uncontrolled model, the number of adult worms will increase up to 4700 in 80 days. This number could reduce to 4500 on the day of 100 and converge to 4400for unbounded time growth. It means that schistosomiasis is permanently occurring (endemic). The controlled model gives as the drug dose of praziquantel. The drug doze of 20 mg praziquantel could minimize the growth of worms and decreasethe number of adult worm population to 8 in 6 months.
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