Yuliansyah, Eka (2018) Analisis Dinamik Model Penyebaran Pecandu Narkoba Sintetis Dengan Tingkat Kejadian Umum. Sarjana thesis, Universitas Brawijaya.
Abstract
Pada skripsi ini dibahas kontruksi dan analisis model penyebaran pecandu narkoba sintetis dengan tingkat kejadian umum. Analisis dinamik dilakukan untuk menentukan titik kesetimbangan, syarat eksistensi titik kesetimbangan, penentuan angka reproduksi dasar 0, kestabilan lokal dan global titik kesetimbangan. Hasil analisis dinamik menunjukkan bahwa model memiliki dua titik kesetimbangan yaitu titik kesetimbangan bebas pecandu dan titik kesetimbangan endemik pecandu. Titik kesetimbangan bebas pecandu eksis tanpa syarat dan bersifat stabil asimtotik global jika angka reproduksi dasar 0 < 1, sedangkan titik kesetimbangan endemik eksis jika 0 > 1 dan bersifat stabil asimtotik global. Simulasi numerik dilakukan untuk mendukung hasil analisis.
English Abstract
This final project discusses construction and dynamical analysis of transmission model synthetic drug addicts with a general incidence rate. Dynamical analysis is conducted to determine the equilibrium point, existence condition of equilibrium point, local and global stability of the equilibrium point. Analysis results show that the model has two equilibrium points namely drugs-free addict equilibrium point and endemic drug addict equilibrium point. Drugs-free addict equilibrium point exists without condition and it is globally asymptotically stable if the basic reproduction number 0 < 1. On the other hand the endemic drug addict equilibrium point exists if 0 > 1 and it is globally asymptotically stable. Numerical simulations are conducted to support the dynamic analysis results.
Other obstract
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| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2018/408/051807983 |
| Uncontrolled Keywords: | narkoba sintetis, angka reproduksi dasar, analisis kestabilan, synthetic drugs, basic reproduction number, stability analysis |
| Subjects: | 300 Social sciences > 362 Social problems of and services to groups of people > 362.2 People with mental illness and disabilities > 362.29 Substance abuse > 362.293 Narcotics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Nur Cholis |
| Date Deposited: | 05 Jun 2020 05:15 |
| Last Modified: | 28 Oct 2021 03:36 |
| URI: | http://repository.ub.ac.id/id/eprint/168741 |
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