Abstract

MATHEMATICAL ANALYSIS OF A MODEL TO INVESTIGATE THE DYNAMICS OF POVERTY AND CORRUPTION

Felix Yakubu Eguda; Andrawus James, Festus Abiodun Oguntolu, & David Onah

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Abstract The concept of corruption has been actively studied by mathematicians for decades with the aim of obtaining optimal strategy of corruption control. This study investigates the relationship between corruption and poverty. This paper mainly concentrates on corruption and poverty free states and not on the endemic case. The poverty free equilibrium and corruption free equilibrium of the sub models were obtained and analyzed separately for local and global stability. The full model for poverty and corruption were also analyzed for local and global stability. Numerical simulations were carried out which showed that corruption can be reduced to the barest minimum within a shorter period as compared to poverty even with high control strategy. Keywords: Corruption, Equilibrium, Global Stability, Local Stability and Poverty

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