Desain Kontrol Penyebaran Virus Cacar Monyet Pada Manusia Menggunakan Prinsip Minimum Pontryagin

Shabrina, Alya Nur (2023) Desain Kontrol Penyebaran Virus Cacar Monyet Pada Manusia Menggunakan Prinsip Minimum Pontryagin. Other thesis, Institut Teknologi Sepuluh Nopember.

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Abstract

Cacar monyet adalah penyakit menular yang disebabkan oleh virus. Di Afrika, cacar monyet menyebabkan kematian pada 1 dari 10 orang yang terinveksi. Badan pengawas obat dan makanan di Amerika menyarankan vaksin sebagai upaya pencegahan virus cacar monyet. Apabila sudah terinfeksi virus, WHO menyarankan untuk melakukan karantina agar tidak menginfeksi orang lain. Penelitian ini mengembangkan model
matematika SIR (Susceptible-Infected-Recovered) pada penyebaran virus cacar monyet dengan menambahkan kontrol vaksinasi dan karantina. Model SIR yang digunakan didapat
dari model yang sudah ada dengan mengikuti kondisi penyebaran cacar monyet di Nigeria yang disajikan sebagai persamaan diferensial non-linear. Kontrol optimal diselesaikan menggunakan Prinsip Minimum Pontryagin untuk mengetahui faktor apa saja yang mempengaruhi nilai kontrol optimal dan disimulasikan dengan metode forward-backward
sweep Runge-Kutta orde empat untuk mengetahui tingkat infeksi cacar monyet setelah dan sebelum diberikan kontrol. Berdasarkan hasil simulasi didapatkan kesimpulan bahwa
pemberian kontrol dapat menekan populasi monyet terinfeksi sebesar 70% dan manusia terinfeksi sebesar 59%
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Monkeypox is a contagious disease caused by viruses. In Africa, look for monkeys causes death in 1 in 10 people infected. Food and Drug Administration in America recommend vaccines as an effort to prevent the virus monkey pox. If you have been infected with the virus, WHO Advise to quarantine so as not to infect others. This research is growing SIR (Susceptible-Infected-Recovered) mathematical model on the spread of monkeypox virus with added vaccination control and quarantine. Model The SIR used was obtained from an existing model by following the conditions of the spread of monkey pox in Nigeria presented as a trade non-linear differential. Optimal control was solved using the Pontryagin Minimum Principle and simulated by the method fourth-order Runge-Kutta sweeps for determine the level of wound infection in monkeys after and before being given control. Based on simulation results it was concluded that giving control can suppressing infected monkey population by 70% and infected human populations by 59%.

Item Type:	Thesis (Other)
Uncontrolled Keywords:	Cacar monyet, Karantina, PMP, Vaksinasi, Monkeypox, PMP, Quarantine, Vaccination
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA141 Numeracy--Problems, exercises, etc.
Divisions:	Faculty of Science and Data Analytics (SCIENTICS) > Statistics > 49201-(S1) Undergraduate Thesis
Depositing User:	Alya Nur Shabrina
Date Deposited:	13 Feb 2023 01:38
Last Modified:	13 Feb 2023 01:44
URI:	http://repository.its.ac.id/id/eprint/96604

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