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Journal : International Journal of Computing Science and Applied Mathematics-IJCSAM

Optimal control using pontryagin’s maximum principle: Tuberculosis spread case Muhammad Iqbal Widiaputra; Ahmad Hanif Asyhar; Wika Dianita Utami; Putroue Keumala Intan; Dian Yuliati; Muhammad Fahrur Rozi
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 10 No. 2 (2024)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.ijcsam.v10i2.4602

Abstract

Tuberculosis is one of the deadliest infectious diseases in the world. In 2020, 9.9 million people were infected and 1.5 million died. East Java province ranks third with 43,268 tuberculosis cases. This research aims to determine the results of the tuberculosis disease model and simulation without and with the use of optimal control. The mathematical model SEIR is a model that can analyze the spread of the disease tuberculosis. In this research, a variable treatment compartment to the SEIR model. It used 4 antibiotics in the intensive phase and added Isoniazid and Rifampicin in the advanced phase as the optimal control parameters. Optimal control uses Pontriagin’s maximum principle as the derivative to modify the SEIR model and is described by a Runge-Kutta order 4 scheme. It shows both the useful parameters in the optimal control with a maximum value of 1 and plots where the effect of optimal control exists further constrained the people infected with Tuberculosis.
Co-Authors Abdulloh Hamid Abdulloh Hamid Adikuasa, M. Biyadihie Adyanti, Deasy Adyanti, Deasy Alfiah Ahmad Hidayatullah Ahmad Umar Ahmad Zaenal Arifin Ahmad Zoebad Foeady Ali Ridho Anistya, Mery Arifin, Ahmad Zaenal Deasy Adyanti Deasy Alfiah Adyanti Dian C. Rini Novitasari Dian Yuliati Dian Yuliati Fajar Darwis Dzikril Hakimi FAJAR SETIAWAN Fajar Setiawan Fanani, Aris Farida, Yuniar Firmansjah, Muhammad Fitria Febrianti Foeady, Ahmad Zoebad Fransisca, Velicia Gita Purnamasari R Hani Khaulasari Hidayati, Syahrotul Hilmi, Moh. Aditya Sirojul ian Candra Rini Novitasari Krisnawan, Alvin Kusaeri Kusaeri Lia Puspita Sari Lubab, Ahmad Lutfi Hakim Lutfi Hakim M. Hasan Bisri Maulidya, Rahmania Moch. Noor Affan Anshori Moh. Hafiyusholeh Muhammad Busyro Karim Muhammad Busyro Karim, Muhammad Busyro Muhammad Fahrur Rozi Muhammad Iqbal Widiaputra Muhammad Thohir Mukti, Audyra Dewi Puspa Nanang Widodo Nisa, Titin Faridatun Novitasari , Dian Candra Rini Novitasari, Dian C Rini Nur Aulia, Shofinatul Wahdah Nurissaidah Ulinnuha Putri Oktavia, Nabiilah Putri, Anindya Maya Putri, Risma Madurahma Putroue Keumala Intan Rifa Atul Hasanah Rini Novitasari, ian Candra Ririn Komaria Rozi, Muhammad Fahrur Sari, Dian Candra Rini Novita Sari, Firda Yunita Setiawan, Fajar Suwanto Suwanto Utami, Wika Dianita Vina Fitriyana Wahyudi, Sharenada Norisdita Widiaputra, Muhammad Iqbal Wika Dianita Utami Wika Dianita Utami Wika Dianita Utami Wiratama, Aqshal Tegar Yuliati, Dian Yuliati, Dian Yusuf, Ahmad Yuyun Monita Zainullah Zuhri