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Epidemics of Corruption Using Incidence Function

Author

Listed:
  • Nita H. SHAH

    (Department of Mathematics, Gujarat University, Gujarat, India)

  • Bijal M. YEOLEKAR

    (Department of Mathematics, Gujarat University , Gujarat, India)

  • Zalak A. PATEL

    (L.D. College of Engineering, Ahmedabad)

Abstract

Corruption is a slow poison damaging individuals and consequently society and nation. This is a global issue. Any individual can be exposed to the corruption. Slowly and steadily, an individual turns out to be most corrupted. In this study, an attempt is made to formulate the dynamics of corruption. The non-linear system of differential equations constructed for different compartments viz. Susceptible, Exposed, Infected and Punished. The punishment in terms of transfers from one place to another is defined in exposed and infected classes. These transfers lead the vertical transmission in both the classes. The threshold in terms of reproduction number is computed to make society corruption free. The local and global stability is analyzed. The proposed model is supported by numerical simulation. The observations and suggestions are outlined to have corruption free society or reduced corruption.

Suggested Citation

  • Nita H. SHAH & Bijal M. YEOLEKAR & Zalak A. PATEL, 2017. "Epidemics of Corruption Using Incidence Function," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 51(2), pages 165-180.
    • Handle: RePEc:cys:ecocyb:v:50:y:2017:i:2:p:165-180
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    References listed on IDEAS

    as
    1. International Monetary Fund, 1997. "Why Worry About Corruption?," IMF Economic Issues 1997/003, International Monetary Fund.
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    3. Arvind K. Jain, 2001. "Corruption: A Review," Journal of Economic Surveys, Wiley Blackwell, vol. 15(1), pages 71-121, February.
    4. Lui, Francis T., 1986. "A dynamic model of corruption deterrence," Journal of Public Economics, Elsevier, vol. 31(2), pages 215-236, November.
    5. Mishra, Ajit, 2006. "Persistence of corruption: some theoretical perspectives," World Development, Elsevier, vol. 34(2), pages 349-358, February.
    6. Blackburn, Keith & Bose, Niloy & Emranul Haque, M., 2006. "The incidence and persistence of corruption in economic development," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2447-2467, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Corruption; Vertical Transmission; Incidence function; Basic reproduction number; Local Stability; Global Stability.;
    All these keywords.

    JEL classification:

    • A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
    • D73 - Microeconomics - - Analysis of Collective Decision-Making - - - Bureaucracy; Administrative Processes in Public Organizations; Corruption

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