A Novel Lotka-Volterra Model for Analyzing the Dynamic Relationship Between Financial Corruption and Society.

we introduce a new predator-prey system and prove the existence, uniqueness, and stability of the proposed system. The main tools used in the study are the Picard approximation iteration and the principles of Ulam stability. Our results contribute to the understanding of dynamical behaviors in predator-prey interactions and provide a theoretical foundation for further studies in ecological modeling. The extends the Lotka-Volterra model to analyze the interaction between financial corruption and the population in society, offering insights into the complex dynamics of corruption and its societal consequences. Financial corruption, which has far-reaching effects on political, social, and economic structures, is examined through a modified version of the Lotka-Volterra system. By exploring the existence, uniqueness, and stability of solutions to the differential equations governing the system, this research provides a theoretical foundation for understanding how population segments and financial corruption levels influence each other over time. Key factors such as tipping points and societal consequences of corruption, including unrest and economic decline, are investigated.