# Stability Analysis of the Corruption Free Equilibrium of the Mathematical Model of Corruption in Nigeria

• Victor Akinsola Adeleke University, Ede, Osun state, Nigeria.
• Dr Adeyemi Olukayode Binuyo Department of Mathematical Sciences, Ajayi Crowther University, Oyo, Nigeria.
Keywords: Basic reproductive number, Corruption Free Equilibrium State, Mathematical Model, Corruption, Stability, Characteristic Equations

### 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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Published
2020-03-30
How to Cite
Akinsola, Victor, and ADEYEMI BINUYO. 2020. “Stability Analysis of the Corruption Free Equilibrium of the Mathematical Model of Corruption in Nigeria”. Mathematical Journal of Interdisciplinary Sciences 8 (2), 61-68. https://doi.org/10.15415/mjis.2020.82008.
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