Mathematical Modeling of Corruption Dynamics in Zimbabwe

Abstract

Corruption has become one of the persistent worsening problems affecting Zimbabwe. This study presents the formulation of a basic corruption mathematical model and its analysis. We extend the corruption model and analysis revealed that the model is globally and asymptotically stable. The analysis revealed that corruption free equilibrium is locally asymptotically stable if R0 < 1 and the endemic equilibrium is locally stable whenever R0 > 1. To verify the theoretical analysis , numerical simulations were carried out using MATLAB and Python. The numerical simulations reinforced the analytic solutions and we concluded that, the combination of the proposed control strategies which are religious teaching and mass education combined with use of law enforcement successfully control levels of corruption in the country.