Mathematical Modeling and Stability Analysis of Systemic Risk in the Banking Ecosystem
This paper investigates the dynamics of systemic risk in banking networks by analyzing equilibrium points and stability conditions. The focus is on a model that incorporates interactions among distressed and undistressed banks. The equilibrium points are determined by solving a reduced system of equ...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/5628621 |
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| _version_ | 1832559636253769728 |
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| author | Irène Irakoze Fulgence Nahayo Dennis Ikpe Samuel Asante Gyamerah Frederi Viens |
| author_facet | Irène Irakoze Fulgence Nahayo Dennis Ikpe Samuel Asante Gyamerah Frederi Viens |
| author_sort | Irène Irakoze |
| collection | DOAJ |
| description | This paper investigates the dynamics of systemic risk in banking networks by analyzing equilibrium points and stability conditions. The focus is on a model that incorporates interactions among distressed and undistressed banks. The equilibrium points are determined by solving a reduced system of equations, considering both homogeneous and heterogeneous scenarios. Local and global stability analyses reveal conditions under which equilibrium points are stable or unstable. Numerical simulations further illustrate the dynamics of systemic risk, while the theoretical findings offer insights into the behavior of distressed banks under varying conditions. Overall, the model enhances our understanding of systemic financial risk and offers valuable insights for risk management and policymaking in the banking sector. |
| format | Article |
| id | doaj-art-8a5d9bd609fd48b9852a26e9787c069b |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8a5d9bd609fd48b9852a26e9787c069b2025-02-03T01:29:40ZengWileyJournal of Applied Mathematics1687-00422023-01-01202310.1155/2023/5628621Mathematical Modeling and Stability Analysis of Systemic Risk in the Banking EcosystemIrène Irakoze0Fulgence Nahayo1Dennis Ikpe2Samuel Asante Gyamerah3Frederi Viens4Institute of Applied StatisticsInstitute of Applied StatisticsGuarantor Capital LLCDepartment of Statistics and Actuarial ScienceDepartment of StatisticsThis paper investigates the dynamics of systemic risk in banking networks by analyzing equilibrium points and stability conditions. The focus is on a model that incorporates interactions among distressed and undistressed banks. The equilibrium points are determined by solving a reduced system of equations, considering both homogeneous and heterogeneous scenarios. Local and global stability analyses reveal conditions under which equilibrium points are stable or unstable. Numerical simulations further illustrate the dynamics of systemic risk, while the theoretical findings offer insights into the behavior of distressed banks under varying conditions. Overall, the model enhances our understanding of systemic financial risk and offers valuable insights for risk management and policymaking in the banking sector.http://dx.doi.org/10.1155/2023/5628621 |
| spellingShingle | Irène Irakoze Fulgence Nahayo Dennis Ikpe Samuel Asante Gyamerah Frederi Viens Mathematical Modeling and Stability Analysis of Systemic Risk in the Banking Ecosystem Journal of Applied Mathematics |
| title | Mathematical Modeling and Stability Analysis of Systemic Risk in the Banking Ecosystem |
| title_full | Mathematical Modeling and Stability Analysis of Systemic Risk in the Banking Ecosystem |
| title_fullStr | Mathematical Modeling and Stability Analysis of Systemic Risk in the Banking Ecosystem |
| title_full_unstemmed | Mathematical Modeling and Stability Analysis of Systemic Risk in the Banking Ecosystem |
| title_short | Mathematical Modeling and Stability Analysis of Systemic Risk in the Banking Ecosystem |
| title_sort | mathematical modeling and stability analysis of systemic risk in the banking ecosystem |
| url | http://dx.doi.org/10.1155/2023/5628621 |
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