Cimi, Hanesty Astinov (2018) Analisis Dinamik Model Seirs Penyebaran Virus Worm Pada Komputer. Sarjana thesis, Universitas Brawijaya.
Abstract
Pada skripsi ini dibahas konstruksi dan analisis model SEIRS penyebaran virus worm pada komputer. Pada model diasumsikan terdapat sistem keamanan komputer yang hanya memberikan kekebalan sementara sehingga komputer dapat kembali menjadi rentan terkena virus worm. Analisis dinamik yang dilakukan pada model meliputi penentuan titik kesetimbangan, angka reproduksi dasar R0, analisis kestabilan lokal dan global titik kesetimbangan bebas virus worm, analisis kestabilan lokal titik kesetimbangan endemik, dan analisis sensitivitas. Berdasarkan hasil analisis diperoleh dua titik kesetimbangan model, yaitu titik kesetimbangan bebas virus worm dan titik kesetimbangan endemik. Titik kesetimbangan bebas virus worm selalu eksis, sedangkan eksistensi titik kesetimbangan endemik bergantung pada angka reproduksi dasar (R0). Kestabilan titik kesetimbangan bebas virus worm bergantung pada angka reproduksi dasar (R0) dan kestabilan titik kesetimbangan endemik stabil asimtotik lokal tanpa syarat. Hasil analisis sensitivitas menunjukkan bahwa laju kontak antara populasi komputer rentan dengan komputer terinfeksi merupakan parameter yang paling sensitif. Simulasi numerik yang dilakukan menunjukkan hasil yang sesuai dengan hasil analisis.
English Abstract
In this final project, the construction and dynamical analysis of SEIRS model worm virus propagation in computer are discussed. In the model, it is assumed there is a computer security system which gives temporary immunity so the computer can back into a vulnerable. Dynamical analysis is performed by finding the equilibrium points, the basic reproduction number R0, local and global stability analysis of the worm virus-free equilibrium point, local stability analysis of the endemic equilibrium point, and sensitivity analysis. Based on the analysis results, two equilibrium points are obtained, namely worm virus-free equilibrium point and the endemic equilibrium point. Worm virus-free equilibrium point always exists, but the endemic equilibrium point depends on the basic reproduction number (R0). The stability of worm virus-free equilibrium point depends on the basic reproduction number (R0) and stability of the endemic equilibrium point is unconditional locally asymptotically stable. The result of sensitivity analysis shows that the contact rate between susceptible population and infected population is the most sensitive parameter. The numerical simulations show that the results are in accordance with analysis results.
Other obstract
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| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2018/391/051807966 |
| Uncontrolled Keywords: | worm komputer, angka reproduksi dasar, analisis kestabilan, analisis sensitivitas, computer worm, basic reproduction number, stability analysis, sensitivity analysis |
| Subjects: | 000 Computer science, information and general works > 005 Computer programming, programs, data > 005.8 Data security |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Nur Cholis |
| Date Deposited: | 05 Jun 2020 04:27 |
| Last Modified: | 22 Oct 2021 23:23 |
| URI: | http://repository.ub.ac.id/id/eprint/168718 |
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