Mathematical Modeling and Stability Analysis of Corruption Dynamics

Abstract

In this thesis, Mathematical model of for corruption dynamics was developed based on compartmental approach. The thesis incorporates the following fruitful findings. Boundedness and positivity of the solution of the model were proved. The model was linearized at equilibrium point. Basic reproduction number was also calculated by using next generation matrix. The local and global stability conditions of the model were also well investigated for both disease free and endemic equilibrium points. Furthermore, sensitivity analysis of the model parameters was also carried out. Finally, in order to verify the applicability of the result MATLAB simulation was implemented and agrees with the analytical result.