| dc.creator |
Danford, Oscar |
|
| dc.creator |
Kimathi, Mark |
|
| dc.creator |
Mirau, Silas |
|
| dc.date |
2022-01-27T06:09:17Z |
|
| dc.date |
2022-01-27T06:09:17Z |
|
| dc.date |
2020-09-11 |
|
| dc.date.accessioned |
2022-10-25T09:15:46Z |
|
| dc.date.available |
2022-10-25T09:15:46Z |
|
| dc.identifier |
http://dx.doi.org/10.22457/jmi.v19a07179 |
|
| dc.identifier |
https://dspace.nm-aist.ac.tz/handle/20.500.12479/1416 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/94586 |
|
| dc.description |
This research article published by Journal of Mathematics and Informatics, Vol. 19, 2020 |
|
| dc.description |
Corruption is a worldwide problem that affects many countries where by
individuals loses their rights, lower community confidence in public authorities, absence
of peace and security, misallocation of resources and termination of employment. Despite
various measures which have been taken by various countries to control corruption, the
problem still exists. In this paper, we formulate and analyze a mathematical model for the
dynamics of corruption in the presence of control measures. Analysis of the model shows
that both Corruption Free Equilibrium (CFE) and Corruption Endemic Equilibrium
(CEE) exist. The next generation matrix method was used to compute the effective
reproduction number ( ) which is used to study the corruption dynamics. The results
indicate that CFE is both locally and globally asymptotically stable when < 1 whereas
CEE is globally asymptotically stable when > 1. The normalized forward sensitivity
method was used to describe the most sensitive parameters for the spread of corruption.
The most positive sensitive parameters are κ and ν while the most negative sensitive
parameters are α and β . Therefore, the parameters of mass education α and religious
teaching β are the best parameters for control of corruption. The model was simulated
using Runge-Kutta fourth order method in MATLAB and the results indicate that the
combination of mass education and religious teaching is effective to corruption control
within short time compared to when each control strategy is used separately. Therefore,
this study recommends that more efforts in providing both mass education and religious
teaching should be applied at the same time to control corruption. |
|
| dc.format |
application/pdf |
|
| dc.language |
en |
|
| dc.publisher |
Journal of Mathematics and Informatics |
|
| dc.subject |
Mathematical model |
|
| dc.subject |
Effective reproduction number |
|
| dc.subject |
Numerical simulation |
|
| dc.title |
Mathematical Modelling and Analysis of Corruption Dynamics with Control Measures in Tanzania |
|
| dc.type |
Article |
|