Epidemics of Corruption Using Incidence Function

Nita H. Shah (), Bijal M. Yeolekar () and Zalak A. Patel ()
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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

ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, 2017, vol. 51, issue 2, 165-180

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.

Keywords: Corruption; Vertical Transmission; Incidence function; Basic reproduction number; Local Stability; Global Stability. (search for similar items in EconPapers)
JEL-codes: A14 D73 (search for similar items in EconPapers)
Date: 2017
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