Fitri, Aisyah (2024) Analisis Dan Kontrol Optimal Penyebaran Rumor Di Media Sosial Berdasarkan Akun Terhubung Dan Tidak Terhubung. Other thesis, Institut Teknologi Sepuluh Nopember.
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Abstract
Rumor merupakan informasi yang tidak diketahui kebenarannya dan telah menyebar dari individu ke individu lain. Penyebaran rumor yang tidak terkendali akan menyebabkan kekhawatiran pada masyarakat karena adanya informasi yang belum tentu benar terjadi. Rumor banyak ditemukan di media sosial baik dari akun yang saling mengikuti (akun terhubung) maupun akun yang tidak saling mengikuti (akun tidak terhubung). Oleh karena itu, dilakukan upaya untuk pengendalian penyebaran rumor berdasarkan dua jenis akun tersebut berupa penekanan terhadap akun terhubung dan tidak terhubung dengan tujuan untuk mengurangi populasi individu yang menyebarkan rumor. Pada Tugas Akhir ini dibahas mengenai modifikasi model SIMR (SusceptibleInfected-Marketing-Removed) penyebaran rumor di media sosial berdasarkan akun terhubung dan tidak terhubung, analisis kestabilan di sekitar titik kesetimbangan, analisa dan eksistensi kontrol optimal. Selanjutnya, kontrol optimal diselesaikan dengan menggunakan Prinsip Minimum Pontryagin dan dilakukan penyelesaian secara numerik dengan metode Runge-Kutta Orde Empat dengan bantuan Matlab. Kemudian, dari analisis hasil simulasi diperoleh bahwa setelah pemberian kontrol pada populasi individu yang menyebarkan rumor baik kepada teman yang saling mengikuti (akun terhubung) maupun kepada orang lain yang tidak saling mengikuti (akun tidak terhubung) akan menurun lebih cepat.
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Rumors are information that is not known to be true and has spread from individual to other individual. The uncontrolled spread of rumors will cause concern among the public because there is information that is not necessarily true. Rumors are often found on social media, both from accounts that follow each other (connected accounts) and accounts that do not follow each other (unconnected accounts). Therefore, efforts are made to control the spread of rumors based on these two types of accounts in the form of emphasizing connected and unconnected accounts with the aim of reducing the population of individuals who spread rumors. In this final assignment, we discuss the modification of the SIMR (Susceptible-Infected-Marketing-Removed) model for spreading rumors on social media based on connected and unconnected accounts, analysis of stability around the equilibrium point, analysis and existence of optimal control. Next, optimal control is solved using Pontryagin’s Minimum Principle and numerical solutions are carried out using the Fourth Order Runge-Kutta method with the help of Matlab. Then, from the analysis of the simulation results, it was found that after controlling the population of individuals who spread rumors both to friends who follow each other (connected accounts) and to other people who do not follow each other (unconnected accounts) will decrease more quickly.
| Item Type: | Thesis (Other) |
|---|---|
| Uncontrolled Keywords: | Rumor, Kontrol Optimal, Prinsip Minimum Pontryagin. ================================================== Rumors, Optimal Control, Pontryagin’s Minimum Principle |
| Subjects: | Q Science > QA Mathematics > QA372.B9 Differential equations--Numerical solutions. Runge-Kutta formulas--Data processing. Q Science > QA Mathematics > QA401 Mathematical models. Q Science > QA Mathematics > QA614.8 Differentiable dynamical systems |
| Divisions: | Faculty of Science and Data Analytics (SCIENTICS) > Mathematics > 44201-(S1) Undergraduate Thesis |
| Depositing User: | Aisyah Fitri |
| Date Deposited: | 08 Aug 2024 02:02 |
| Last Modified: | 08 Aug 2024 02:02 |
| URI: | http://repository.its.ac.id/id/eprint/111286 |
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