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Modelling and Optimal Control Strategies of Corruption Dynamics |
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PP: 673-683 |
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doi:10.18576/amis/170416
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Author(s) |
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Temesgen Duressa Keno,
Fekadu Mosisa Legesse,
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Abstract |
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| In this study, we presented a non linear deterministic corruption transmission dynamics using optimal control analysis and cost effective strategies. To begin, we demonstrated that in a given set of initial conditions, the model solution is non-negative and bounded. A basic reproductive number is calculated using the corruption-free equilibrium point via the next generation matrix. The linearization and the Lyapunov function are then used to demonstrate how corruption-free equilibrium is both locally and globally stable. The corruption-free equilibrium point is asymptotically stable both locally and globally if the basic reproduction number is less than one; otherwise, an endemic corruption equilibrium emerges. Furthermore, the model’s parameters were analyzed for sensitivity, and the model demonstrated forward bifurcation. Moreover, applying the Pontryagin minimum principle, the optimal corruption minimization interventions are determined using two control strategies, namely prevention and punishment. Lastly, based up on numerical prediction systems of optimality, prevention is the highest optimal and most cheapest corruption eradication strategy.
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