Saparini, Diah Asri Nur (2012) Analisis Stabilitas Dan Bifurkasi Hopf Sistem Dinamik Virus Komputer. Other thesis, Institut Teknologi Sepuluh Nopember.
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Abstract
Sistem dinamik dapat diterapkan dalam berbagai bidang kehidupan, seperti pada bidang kesehatan dan komputer. Salah satu sistem dinamik dalam bidang komputer adalah model perilaku virus komputer pada intemet. Model SIRS adalah salah satu model matematilra dari perilaku virus komputer pada intemet dalam bentuk persamaan diferensial biasa. Model tersebut menggambakan respon sistem kekebalan pada komputer yang susceptible, infected, dan recovery terhadap infeksi virus baru. Sistem komputer memerlulran waktu untuk mengembangkan respon setelah mengenal virus-virus baru, sedangkan virus juga memerlulran waktu dalam pertumbuhannya. Pada tugas akhir ini, dianalisa stabilitas dan bifurlrasi hopf model dinamik perilaku virus komputer pada intemet dalam bentuk persamaan diferensial tundaan. Hasil penelitian menunjukkan bahwa terjadi perubahan sifat kestabilan dari penyebaran virus komputer akibat adanya waktu tunda penyebaran virus komputer dan penyembuhan komputer serta terdapat bifurkasi hopf untuk time delay pendekatan ruang kompleks
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Dynamic systems can be applied in various fields of life, such as in health and computers. One dynamic system in the computer field is a model of computer virus behavior on the internet. The SIRS model is a mathematical model of computer virus behavior on the internet in the form of ordinary differential equations. This model describes the immune system response in susceptible, infected, and recovering computers to new virus infections. Computer systems need time to develop a response after being exposed to new viruses, while viruses also need time to grow. In this final project, the stability and Hopf bifurcation of a dynamic model of computer virus behavior on the internet in the form of delay differential equations are analyzed. The results show that there is a change in the stability properties of computer virus spread due to the delay in computer virus spread and computer recovery, and there is a Hopf bifurcation for the time delay approach of complex space
| Item Type: | Thesis (Other) |
|---|---|
| Additional Information: | RSMa 515.39 Sap a-1 2012 (weding) |
| Uncontrolled Keywords: | Virus lwmputer, SIRS, suspectible, recovery, infected, bifurksai Hopf, time delay; computer virus, SIRS, suspectible, recovery, infected, bifurksai Hopf, time delay |
| Subjects: | Q Science > QA Mathematics > QA401 Mathematical models. |
| Divisions: | Faculty of Mathematics and Science > Mathematics > 44201-(S1) Undergraduate Thesis |
| Depositing User: | EKO BUDI RAHARJO |
| Date Deposited: | 15 Sep 2025 04:14 |
| Last Modified: | 15 Sep 2025 04:14 |
| URI: | http://repository.its.ac.id/id/eprint/128226 |
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