A mathematical model of corruption dynamics and optimal control
Corruption, a pervasive societal ill, hinders economic, social, and political progress globally. This study develops a novel mathematical model to analyze the transmission dynamics of corruption. Utilizing Corruption Index data, the model introduces the Corruption Influence Number (CIN), a metric qu...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Franklin Open |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2773186325000064 |
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| author | Mostak Ahmed Mostofa Kamal M. Alamgir Hossain |
| author_facet | Mostak Ahmed Mostofa Kamal M. Alamgir Hossain |
| author_sort | Mostak Ahmed |
| collection | DOAJ |
| description | Corruption, a pervasive societal ill, hinders economic, social, and political progress globally. This study develops a novel mathematical model to analyze the transmission dynamics of corruption. Utilizing Corruption Index data, the model introduces the Corruption Influence Number (CIN), a metric quantifying corruption’s societal impact. Numerical simulations using MATLAB ODE solvers validate the model and investigate parameter effects on corruption dynamics. The findings reveal how corruption contact rates influence the transition of susceptible individuals to corruption. Moreover, the results underscore the effectiveness of prevention and punishment strategies in reducing corruption. This research concludes with the formulation of an optimal control solution, offering a foundation for future cost-effectiveness analyses of corruption mitigation strategies. |
| format | Article |
| id | doaj-art-ac0b64303fad4d17a240be34b3fbf606 |
| institution | Kabale University |
| issn | 2773-1863 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Franklin Open |
| spelling | doaj-art-ac0b64303fad4d17a240be34b3fbf6062025-01-23T05:28:04ZengElsevierFranklin Open2773-18632025-03-0110100216A mathematical model of corruption dynamics and optimal controlMostak Ahmed0Mostofa Kamal1M. Alamgir Hossain2Corresponding author.; Department of Mathematics, Jagannath University, Dhaka-1100, BangladeshDepartment of Mathematics, Jagannath University, Dhaka-1100, BangladeshDepartment of Mathematics, Jagannath University, Dhaka-1100, BangladeshCorruption, a pervasive societal ill, hinders economic, social, and political progress globally. This study develops a novel mathematical model to analyze the transmission dynamics of corruption. Utilizing Corruption Index data, the model introduces the Corruption Influence Number (CIN), a metric quantifying corruption’s societal impact. Numerical simulations using MATLAB ODE solvers validate the model and investigate parameter effects on corruption dynamics. The findings reveal how corruption contact rates influence the transition of susceptible individuals to corruption. Moreover, the results underscore the effectiveness of prevention and punishment strategies in reducing corruption. This research concludes with the formulation of an optimal control solution, offering a foundation for future cost-effectiveness analyses of corruption mitigation strategies.http://www.sciencedirect.com/science/article/pii/S2773186325000064Corruption dynamicsMathematical modelingOptimal controlSocial factorsPrevention strategiesCorruption influence number (CIN) |
| spellingShingle | Mostak Ahmed Mostofa Kamal M. Alamgir Hossain A mathematical model of corruption dynamics and optimal control Franklin Open Corruption dynamics Mathematical modeling Optimal control Social factors Prevention strategies Corruption influence number (CIN) |
| title | A mathematical model of corruption dynamics and optimal control |
| title_full | A mathematical model of corruption dynamics and optimal control |
| title_fullStr | A mathematical model of corruption dynamics and optimal control |
| title_full_unstemmed | A mathematical model of corruption dynamics and optimal control |
| title_short | A mathematical model of corruption dynamics and optimal control |
| title_sort | mathematical model of corruption dynamics and optimal control |
| topic | Corruption dynamics Mathematical modeling Optimal control Social factors Prevention strategies Corruption influence number (CIN) |
| url | http://www.sciencedirect.com/science/article/pii/S2773186325000064 |
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