International Journal of Research and Innovation in Applied Science (IJRIAS)
Mathematical Modeling of Corruption Dynamics in Zimbabwe
Published December 10, 2025 • Vol. 10, Issue 11, pp. 486–501Open Access
DOI: 10.51584/IJRIAS.2025.101100046
Abstract
Corruption has become one of the persistent worsening problems affecting Zimbabwe. This study presents the formulation of a basic corruption mathematical model and its analysis. We extend the corruption model and analysis revealed that the model is globally and asymptotically stable. The analysis revealed that corruption free equilibrium is locally asymptotically stable if R0 < 1 and the endemic equilibrium is locally stable whenever R0 > 1. To verify the theoretical analysis , numerical simulations were carried out using MATLAB and Python. The numerical simulations reinforced the analytic solutions and we concluded that, the combination of the proposed control strategies which are religious teaching and mass education combined with use of law enforcement successfully control levels of corruption in the country.
Keywords: Corruption; Basic/Effective reproduction number; differential equations.
| Journal | International Journal of Research and Innovation in Applied Science (IJRIAS) |
|---|---|
| ISSN | 2454-6194 |
| Volume / Issue | Volume 10, Issue 11 |
| Pages | 486–501 |
| Publication date | December 10, 2025 |
| DOI | 10.51584/IJRIAS.2025.101100046 |
| Publisher | RSIS International |
| License | Open Access |
How to cite this article
Kudzanai Katandika, & Martina Mthombeni (2025). Mathematical Modeling of Corruption Dynamics in Zimbabwe. International Journal of Research and Innovation in Applied Science (IJRIAS), 10(11), 486-501. https://doi.org/10.51584/IJRIAS.2025.101100046
BibTeX
@article{Kudzanai2025,
title = {Mathematical Modeling of Corruption Dynamics in Zimbabwe},
author = {Kudzanai Katandika and Martina Mthombeni},
journal = {International Journal of Research and Innovation in Applied Science (IJRIAS)},
volume = {10},
number = {11},
pages = {486--501},
year = {2025},
doi = {10.51584/IJRIAS.2025.101100046},
publisher = {RSIS International}
}