eprintid: 75403
rev_number: 22
eprint_status: archive
userid: 12460
dir: disk0/00/07/54/03
datestamp: 2026-03-31 07:41:52
lastmod: 2026-03-31 07:41:52
status_changed: 2026-03-31 07:41:52
type: thesis
metadata_visibility: show
contact_email: muh.khabib@uin-suka.ac.id
creators_name: Tarisha Najwa Putri, NIM.: 22106010037
title: ANALISIS DAN PENYEMPURNAAN MODEL MATEMATIKA DINAMIKA KORUPSI DENGAN STRATEGI EDUKASI DAN KAMPANYE, PERBAIKAN SISTEM, DAN REPRESIF
ispublished: pub
subjects: 515.6
divisions: jur_mat
full_text_status: restricted
keywords: Dinamika Korupsi, Pemodelan Matematika, Kestabilan, Kontrol Optimal
note: Prof. Dr. Muhammad Wakhid Musthofa, M.Si.
abstract: Corruption remains one of the major problems that hinders national progress and obstructs social, political, and economic development. This study aims to examine the dynamics of corruption spread through a mathematical modeling approach by dividing the population into five compartments, namely SECJH (Susceptible–Exposed–Corrupt–Jail–Honest). The model has two equilibrium points, namely the corruption-free equilibrium point and the corruption-endemic equilibrium point. The stability analysis of the equilibrium points is determined using the Routh–Hurwitz criteria through determinants and eigenvalues, while the optimal control analysis is conducted using Pontryagin’s Maximum Principle. Based on the results of numerical simulations, it is shown that the role of the Corruption Eradication Commission in combating corruption through strategies such as education and campaigns, system improvement, and repressive actions can provide effective outcomes.
date: 2026-02-23
date_type: published
pages: 160
institution: UIN SUNAN KALIJAGA YOGYAKARTA
department: FAKULTAS SAINS DAN TEKNOLOGI
thesis_type: skripsi
thesis_name: other
citation:   Tarisha Najwa Putri, NIM.: 22106010037  (2026) ANALISIS DAN PENYEMPURNAAN MODEL MATEMATIKA DINAMIKA KORUPSI DENGAN STRATEGI EDUKASI DAN KAMPANYE, PERBAIKAN SISTEM, DAN REPRESIF.  Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.   
document_url: https://digilib.uin-suka.ac.id/id/eprint/75403/1/22106010037_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
document_url: https://digilib.uin-suka.ac.id/id/eprint/75403/2/22106010037_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf