This research includes a set of mathematical models for simulating the financial activities. Worked models are determined to approve the form of inflows to the bank and outflows. We tried to study different types of banks, and performed some conditions to make sure that the bank is working in stabilized situation. Furthermore, we identified the factors affecting the achievement of stability. These models allow more flexibility in the discussion and analysis of banking operations, helping to discern periods approaching the crisis and draw attention to the overall status of the bank. Analyzing these models gives additional time to control withdrawal and take the necessary decision at the time.