Modeling and analysis of corruption dynamics incorporating media coverage

Abstract

This paper presents and analyzes a mathematical model that takes into account media coverage to explain how corruption spreads and is controlled. The model solution’s positivity and boundedness are established, and the fundamental reproduction number is determined. We also examine the local and global stability of the model’s endemic and corruption-free equilibrium points, as well as their corruption equilibria. According to the study, the free-corruption equilibrium is locally and globally asymptotically stable if the basic reproduction number is less than one. When the basic reproduction number is greater than one, the endemic equilibrium point is asymptotically stable both locally and globally. To verify the study findings, numerical simulations were performed using MATLAB software’s ode45.