Yanuarisca, Excelencia Qodaria Yanuarisca (2021) Penyebaran Virus Covid-19 Di Surabaya Yang Dipengaruhi Oleh Sidoarjo. Undergraduate thesis, Institut Teknologi Sepuluh Nopember.
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Abstract
Penyakit COVID-19 merupakan penyakit infeksi yang menular berbahaya. disebabkan oleh Corona Virus Disease 2019 (COVID-19) yang dapat berpindah ke orang lain melalui kontak. Penyakit COVID-19 menyebar luas hingga menjadi pandemic. Di Indonesia sendiri hingga bulan Desember 2020 angka terkonfirmasi COVID-19 mencapai 543.975. Surabaya adalah salah satu kota dengan jumlah penderita terbanyak dengan rata-rata jumlah penderita perbulanya mencapai 15.492 jiwa dalam periode Agustus-Desember 2020. Hingga saat ini permasalahan penyebaran COVID-19 terutama di Surabaya masih menjadi bahan penelitian. Banyak model matematika yang menggambarkan penyebaran penyakit COVID-19, salah satunya yaitu model SEIR. Model SEIR yang digunakan pada penelitian ini adalah dengan menerapkan prinsip Minimum Pontryagen dan solusi penyelesaian numeriknya menggunakan metode Runge-Kutta orde empat dimana model persamaannya berupa suatu sistem persamaan diferensial non linear. Pada simulasi dihasilkan bahwa penderita penyakit COVID-19 mengalami penurunan saat di control dengan pemakaian masker.
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COVID-19 is a dangerous infectious disease. caused by
Corona Virus Disease 2019 (COVID-19) which can be
transferred to other people through contact. The COVID-19
disease has spread so widely that it has become a pandemic. In
Indonesia alone, until December 2020 the confirmed number of
COVID-19 reached 543,975. Surabaya is one of the cities with the
highest number of sufferers with an average monthly number of
patients reaching 15,492 in the August-December 2020 period.
Until now, the problem of the spread of COVID-19, especially in
Surabaya, is still the subject of research. There are many
mathematical models that describe the spread of the COVID-19
disease, one of which is the SEIR model. The SEIR model used in
this study is to apply the Pontryagen Minimum Principle and its
numerical solution to the fourth order Runge-Kutta method where
the equation model is a system of non-linear differential
equations. The simulation resulted that people with COVID-19
experienced a decrease when controlled.
Item Type: | Thesis (Undergraduate) |
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Uncontrolled Keywords: | Kata kunci: model SEIR, COVID-19, Kontrol Optimal, metode Runge-Kutta orde empat Keywords: SEIR model, COVID-19, Optimal Control, fourth order Runge-Kutta method |
Subjects: | Q Science > QA Mathematics > QA274.7 Markov processes--Mathematical models. |
Divisions: | Faculty of Science and Data Analytics (SCIENTICS) > Mathematics > 44201-(S1) Undergraduate Thesis |
Depositing User: | Excelencia Qodaria Yanuarisca |
Date Deposited: | 08 Mar 2021 20:03 |
Last Modified: | 08 Mar 2021 20:03 |
URI: | http://repository.its.ac.id/id/eprint/83818 |
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