KESTABILAN SISTEM PENYEBARAN PENYAKIT TUBERCULOSIS MODEL SIR DENGAN TERAPI

RAHMI, NUR (2018) KESTABILAN SISTEM PENYEBARAN PENYAKIT TUBERCULOSIS MODEL SIR DENGAN TERAPI. Undergraduate thesis, UNIMED.

[img] Text
1. NIM. 4141230008 COVER.pdf - Published Version

Download (0B)
[img] Text
2. NIM. 4141230008 APPROVAL SHEET.pdf - Published Version

Download (0B)
[img] Text
3. NIM. 4141230008 ABSTRACT.pdf - Published Version

Download (0B)
[img] Text
4. NIM. 4141230008 PREFACE.pdf - Published Version

Download (0B)
[img] Text
5. NIM. 4141230008 TABLE OF CONTENT.pdf - Published Version

Download (0B)
[img] Text
6. NIM. 4141230008 ILLUSTRATION.pdf - Published Version

Download (0B)
[img] Text
7. NIM. 4141230008 LIST OF TABLE.pdf - Published Version

Download (0B)
[img] Text
8. NIM. 4141230008 CHAPTER I.pdf - Published Version

Download (0B)
[img] Text
12. NIM. 4141230008 CHAPTER V.pdf - Published Version

Download (0B)
[img] Text
13. NIM. 4141230008 BIBLIOGRAPHY.pdf - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_small)
small.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_small)
small.jpg - Published Version

Download (0B)
[img] Other (Generate index codes conversion from text to indexcodes)
indexcodes.txt - Published Version

Download (0B)
[img] Other (Generate index codes conversion from text to indexcodes)
indexcodes.txt - Published Version

Download (0B)
[img] Other (Generate index codes conversion from text to indexcodes)
indexcodes.txt - Published Version

Download (0B)
[img] Other (Generate index codes conversion from text to indexcodes)
indexcodes.txt - Published Version

Download (0B)
[img] Other (Generate index codes conversion from text to indexcodes)
indexcodes.txt - Published Version

Download (0B)
[img] Other (Generate index codes conversion from text to indexcodes)
indexcodes.txt - Published Version

Download (0B)
[img] Other (Generate index codes conversion from text to indexcodes)
indexcodes.txt - Published Version

Download (0B)
[img] Other (Generate index codes conversion from text to indexcodes)
indexcodes.txt - Published Version

Download (0B)
[img] Other (Generate index codes conversion from text to indexcodes)
indexcodes.txt - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_small)
small.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_small)
small.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_small)
small.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_small)
small.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_small)
small.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_small)
small.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_small)
small.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg - Published Version

Download (0B)
[img] Other (Thumbnails conversion from text to thumbnail_small)
small.jpg - Published Version

Download (0B)

Abstract

Penyakit Tuberculosis adalah salah satu penyakit menular yang disebabkan oleh bakteri Mycobacterium Tuberculosis. Salah satu jenis pengobatan bagi penderita Tuberculosis adalah melalui pemberian obat berupa terapi. Terapi bagi pasien Tuberculosis merupakan salah satu terapi jangka panjang. Pemberian terapi ini sangat berpengaruh terhadap kesembuhan pasien. Penelitian ini bertujuan untuk menentukan model dengan terapi dan melihat dinamika pemodelan tersebut dengan terapi. Tahapan yang dilakukan untuk menganalisis model penyebaran penyakit Tuberculosis adalah dengan membentuk model matematika SIR, kemudian menentukan titik ekuilibrium, menentukan bilangan reproduksi dasar, dan menganalisa kestabilan disekitar titik ekuilibrium, serta menganalisis numerik (Runge-Kutta Orde 4) dengan melakukan simulasi menggunakan Software Maple 17. Berdasarkan analisis dan simulasi yang dilakukan, diperoleh penyebaran penyakit Tuberculosis model SIR dengan terapi bergerak menuju titik kesetimbangan tidak stabil (Saddle Point) pada saat bebas penyakit dan stabil pada saat endemik . Selanjutnya, berdasarkan simulasi yang dibentuk dari model SIR dengan nilai awal dan parameter yang diberikan dengan penambahan terapi yang lebih besar dapat lebih signifikan dalam mengurangi tingkat penularan penyakit Tuberculosis.

Item Type: Thesis (Undergraduate)
Contributors:
ContributionNameNIDN/NIDK
Thesis advisorNasution, Hamidah196707061995122001
Call Number: SK-2019 MAT 035
Keywords: Tuberculosis, Terapi, Model Sir, Titik Ekuilibrium, Maple 17
Subjects: L Education > LB Theory and practice of education
Q Science > QA Mathematics
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User: Mr Fifri Juanda Harahap
Date Deposited: 28 Feb 2019 11:06
URI: http://digilib.unimed.ac.id/id/eprint/32645

Actions (login required)

View Item View Item