Triastari, AnindyaYolanda (2013) Pengaruh Vaksinasi Pada Model Sir Dengan Imigran. Sarjana thesis, Universitas Brawijaya.
Abstract
Skripsi ini membahas 2 model SIR (Susceptible-Infected-Recovery) dengan imigran, yaitu model I dan model II. Model I merupakan model SIR untuk semua penduduk, sedangkan model II merupakan model SIR yang membedakan antara subpopulasi warga negara dengan subpopulasi imigran. Kemanjuran vaksinasi diasumsikan 100% dan individu yang sembuh tidak dapat terinfeksi lagi. Terdapat dua titik kesetimbangan pada model I, yaitu titik kesetimbangan bebas penyakit dan titik kesetimbangan endemik. Titik kesetimbangan bebas penyakit dan titik kesetimbangan endemik bersifat stabil, dengan syarat tertentu. Dari simulasi numerik model I dan II, diperoleh kesimpulan bahwa semakin besar tingkat vaksinasi yang diberikan maka semakin cepat penyakit menghilang dari populasi.
English Abstract
This thesis discusses two models of SIR (susceptible-Infected-Recovery) with immigrant, namely model I and model II. Model I is a SIR model consider all population residents, while model II is a SIR model that separate between citizens subpopulations with immigrant subpopulations. Assumed efficacy of vaccine is 100% and recovered individual can not be infected again. There are two equilibrium points in the model I, that is the disease-free equilibrium point and endemic equilibrium point. Disease-free equilibrium point and endemic equilibrium point is stable, by means of certain conditions. Based on numerical simulation models I and II, it is concluded that the bigger level of vaccinates given, the faster disease disappeared from the population.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2013/296/051307825 |
| Subjects: | 500 Natural sciences and mathematics > 510 Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Hasbi |
| Date Deposited: | 04 Sep 2013 14:18 |
| Last Modified: | 25 Oct 2021 02:38 |
| URI: | http://repository.ub.ac.id/id/eprint/153555 |
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04._DAFTAR_TABEL.pdf Download (1MB) | Preview |
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05._DAFTAR_GAMBAR.pdf Download (1MB) | Preview |
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08._BAB_II.pdf Download (2MB) | Preview |
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07._BAB_I.pdf Download (1MB) | Preview |
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06._DAFTAR_LAMPIRAN.pdf Download (1MB) | Preview |
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09._BAB_III.pdf Download (2MB) | Preview |
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10._BAB_IV.pdf Download (1MB) | Preview |
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11._DAFTAR_PUSTAKA.pdf Download (1MB) | Preview |
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12._LAMPIRAN.pdf Download (1MB) | Preview |
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01._HALAMAN_SAMPUL.pdf Download (1MB) | Preview |
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02._MUKADDIMAH.pdf Download (1MB) | Preview |
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03._DAFTAR_ISI.pdf Download (1MB) | Preview |
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