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Mathematical Model and Analysis of Corruption Dynamics with Optimal Control

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  • Abayneh Kebede Fantaye
  • Zerihun Kinfe Birhanu
  • Bruno Carpentieri

Abstract

In this study, a deterministic mathematical model that explains the transmission dynamics of corruption is proposed and analyzed by considering social influence on honest individuals. Positivity and boundedness of solution of the model are proved and basic reproduction number R0 is computed using the next-generation matrix method. The analysis shows that corruption-free equilibrium is locally and globally asymptotically stable whenever R0 1. Then, the model was extended to optimal control, and some numerical simulations with and without optimal control are also performed to verify the theoretical analysis using MATLAB. Numerical simulation of optimal control model shows that the prevention and punishment strategy is the most effective strategy to reduce the dynamic transmission of corruption.

Suggested Citation

  • Abayneh Kebede Fantaye & Zerihun Kinfe Birhanu & Bruno Carpentieri, 2022. "Mathematical Model and Analysis of Corruption Dynamics with Optimal Control," Journal of Applied Mathematics, Hindawi, vol. 2022, pages 1-16, January.
    • Handle: RePEc:hin:jnljam:8073877
    DOI: 10.1155/2022/8073877
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    Cited by:

    1. Sooknanan, Joanna & Seemungal, Terence A.R., 2023. "Criminals and their models - a review of epidemiological models describing criminal behaviour," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    2. Baba, Isa Abdullahi & Rihan, Fathalla A. & Hincal, Evren, 2023. "A fractional order model that studies terrorism and corruption codynamics as epidemic disease," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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