Catastrophe theory was developed and popularized in the early 1970’s. Initially, it attracted attention very quickly in 1978; an entire issue of behavioral science was devoted to the approach. After a period of criticism, the catastrophe theory is well established and widely applied. In this book, we describe the foundation of catastrophe theory, second, catastrophe model was used to analyze the linkages between customer satisfaction and switching cost on pick-up point service loyalty. It has been expected that a catastrophe approach to discontinuous behavior has made clearly abundant implications. Based on the findings of loyalty in the application of cusp catastrophe theory, the cusp catastrophe model is an appropriate model to know the process of loyalty. It suggests that other researchers could consider the cusp catastrophe theory and other nonlinear techniques, especially for standard approaches not adequately to capture the underlying dynamic.