Control Strategies to Curtail Transmission of Corruption using Mathematical Modelling Approach
DOI:
https://doi.org/10.62054/ijdm/0202.05Keywords:
Mathematical model, Corruption, Pontryagin maximum principle, Optimal control, Numerical simulationAbstract
In this study, we propose a deterministic compartmental model to study the behavior of corruption transmission under different control strategies. In the model, reproduction number is formulated to analyze the accurate transmission dynamics of the corruption and equilibrium points of the model were computed. Optimal control theory is applied to the model to demonstrate the impact of various strategies, including control effort on anti – corruption sensitization program , control effort on the arrest and prosecutions of individual accused of corruption and control effort for punishing individuals found guilty of corruption which will serve as consequences of corruption . The results demonstrated that implementing all three strategies,, and simultaneously appear to be the most effective way to curb corruption. Furthermore, the effect of control strategies on the model is analyzed graphically by simulating the model numerically.
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