Abstract
Purpose: To develop a model of interaction between banks and insurance companies, allowing for a joint model assessment from the point of view of the possibility of sustainable operation and development.
 Findings: The article develops the theory of dynamic systems and a numerical method for solving the problem of assessing the results of interaction between banks and insurance companies based on a system of differential equations. The additive and multiplicative types of interaction are considered. The results of interaction are analyzed for various variants of the influence of the activities of the studied subjects.
 Practical Implications: The proposed approach is applicable to assess the effectiveness of the used model of interaction between banks and insurance companies.
 Originality/Value: The author's model of interaction between banks and insurance companies is original. The model has no analogues in the scientific literature of the studied subject area.
 Research Limitations/Future Research: The study proposes a generalized dynamic model of interaction without specifying the content of variables and the procedure for determining the input parameters. Its description and application determine potential areas for further research.
 Paper type: Theoretical.
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