Modeling Financial Losses in Aviation Due to Severe Weather: A Differential Equation Approach

This research uses differential equations to model airline financial losses caused by severe weather disruptions like tornadoes, wind shear, lightning, high winds, and large hail. By analyzing data collected over the last 5-10 years for Dallas -Fort Worth, Tx to Chicago, Illinois, and applying differential equations the impact of severe weather in aviation is determined. The graphical representations highlight the patterns in severe weather disruptions associated with financial losses for the airline. These losses include the following: passenger accommodation, rebooking fees, hotels expenses, transportation for affected customers and damage/repair to aircraft. With this study a relationship between weather conditions and aviation is established.