NONE 20260720113555158 wseas/wseas content-registration-form@crossref.org content-registration-form International Journal of Applied Sciences & Development 2945-0454 Manana Chumburidze Department of Computer Technology Akaki Tsereteli State University #59 Tamar Mephe Street, Kutaisi GEORGIA Giorgi Chachua Department of Computer Technology Akaki Tsereteli State University #59 Tamar Mephe Street, Kutaisi GEORGIA Teimuraz Sakhelashvili Department of Computer Technology Akaki Tsereteli State University #59 Tamar Mephe Street, Kutaisi GEORGIA This article explores the challenges of sustainable finance and innovative risk management approaches in Georgia, employing a neural differential equation based on the Lotka–Volterra perspective (NLV) to model the complex interactions among financial institutions, environmental factors, and regulatory bodies. By applying this model, we examine how various risk management strategies—such as green bonds, carbon pricing, and environmental stress testing—can affect the stability and sustainability of Georgia's financial ecosystem. The study concludes with policy recommendations for the National Bank of Georgia and other stakeholders to foster a resilient and sustainable financial sector. To emphasize the interdisciplinary nature of the research, the article explicitly integrates insights from finance, environmental science, and mathematical modeling. 07 20 2026 07 20 2026 104 12 https://creativecommons.org/licenses/by/4.0/deed.en_US 10.37394/232029.2026.5.12 https://wseas.com/journals/asd/2026/a24asd-012(2026).pdf Mira-Cristiana Anisiu, Lotka, Volterra and their model Title of the Paper, DIDACTICA MATHEMATICA, Vol. 32(2014), pp. 9–17 Chumburidze, M., & Niminet, V. (2025). Efficient Modelisation for Complex Geometries of Tumor Growth via ThermoElastic Diffusion Partial Differential Equations and Artificial Neural Networks. BRAIN. Broad Research in Artificial Intelligence and Neuroscience, 16(1), 315-323. Goswami, S., Bora, A., Yu, Y. and Karniadakis, G.E. (2023) Physics-informed Deep Neural Operator Networks. In: Rabczuk, T. and Bathe, K.J., Eds., Computational Methods in Engineering & the Sciences, Springer International Publishing, 219-254. Haoming Tong, The Importance of ESG in Corporate Strategy andInvestment Decisions with Patagonia as an Example, Proceedings of the 2023 International Conference on Management Research and Economic Development DOI: 10.54254/2754- 1169/25/20230481 Hou, Xiaoran, et al. "Energy sustainability evaluation of 30 provinces in China using the improved entropy weight-cloud model." Ecological Indicators 126 (2021): 107657 Ioannou, I., & Serafeim, G. The Consequences of Mandatory Corporate Sustainability Reporting. Harvard BusinessReview,95(1), 100-107(2017)