Abstract
In this paper, the eigenvalue elasticity and sensitivity values of the mathematical model of transmission dynamics of corruption were obtained and presented using the eigenvalue elasticity and sensitivity analysis methods. The parameter with the greatest impact on the mathematical model was determined using the methods. This parameter will assist the government on how to reduce and provide measures to eradicate corrupt practices among the populace. From the mathematical model of corruption presented, it was obtained that the effective contact rate of corruption has the highest value when using the eigenvalue elasticity and sensitivity analysis.
Highlights
Corruption is a form of dishonesty or criminal activity undertaken by a person or organization entrusted with a position of authority often to acquire illicit benefits [1]
Forms of corruption include: taking gifts or money to speed up problem solving, extortion usually common among civil servants illegally set a fee for services or artificially create a deficit, bribery, fraud, embezzlement, falsification, forgery, nepotism, favoritism and a host of others [3]
A five compartmental model has been presented to gain insight on the parameter that has the greatest impact on the mathematical model of the transmission dynamics of corruption
Summary
Corruption is a form of dishonesty or criminal activity undertaken by a person or organization entrusted with a position of authority often to acquire illicit benefits [1]. It is the misuse of public power usually by elected politician or appointed civil servants for private gain. Efforts are being made by the government of the day to reduce the rate of corruption in the country such that there will be growth and national development. The parameter is determined using the eigenvalue elasticity and sensitivity analyses [4] and this parameter will assist the government to reduce the rate of corrupt practices in the society
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