# Chitkara Open Access Journals - Blog

## Stability analysis of the corruption free equilibrium of the mathematical model of corruption in Nigeria

Author(s):

• Victor AkinsolaAdeleke University, Ede, Osun state, Nigeria.
• Dr Adeyemi Olukayode BinuyoDepartment of Mathematical Sciences, Ajayi Crowther University, Oyo, Nigeria

Keywords:  Basic reproductive number, Stability analysis, Corruption Free Equilibrium State, Mathematical Model, Corruption

Abstract: In this paper, a mathematical model of the transmission dynamics of corruption among populace is analyzed. The corruption free equilibrium state, characteristic equation and Eigen values of the corruption model were obtained. The basic reproductive number of the corruption model was also determined using the next generation operator technique at the corruption free equilibrium points. The condition for the stability of the corruption free equilibrium state was determined. The local stability analysis of the mathematical model of corruption was done and the results were presented and discussed accordingly. Recommendations were made from the results on measures to reduce the rate of corrupt practices among the populace.

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