NUMERICAL ANALYSIS OF A MATHEMATICAL MODEL OF THE DYNAMICS OF CORRUPTION IN INDONESIA USING A FOURTH-ORDER RUNGE-KUTTA METHOD MODIFIED BY THE GEOMETRIC MEAN

Abstract

Corruption is one of the issues that negatively impacts various aspects of life in Indonesia. This study aims to develop a mathematical model of the dynamics of corruption in Indonesia in the form of a system of differential equations and to analyze its numerical solutions using the fourth-order Runge-Kutta method with a geometric mean modification. The model describes changes in the number of individuals in each compartment over time based on the interactions occurring within the system. The difficulty in obtaining analytical solutions led to the use of a numerical approach employing the fourth-order Runge-Kutta method with a geometric mean modification. The method was implemented using the Python programming language. The results of the study show that the developed model is capable of representing the dynamics of corruption behavior, and numerical simulations using the fourth-order Runge-Kutta method with a geometric mean modification can provide an overview of the system’s behavior over time.