Cusp and butterfly catastrophe modeling of two opponent process models: drug addiction and work performance

This article concerns a cross-level formal identity between systems at the level of the organism and the level of an organization. It discusses catastrophe modeling for a class of theories, opponent process models, particularly two that have been proposed for drug addiction and the job satisfaction-performance relationship. The resulting models are then expanded to butterfly catastrophes; results converge with models proposed from other vantage points. While job satisfaction and drug addiction appear to have little to do with each other, the mathematical modeling common to them offers a systemic link between an individual and a foreign chemical substance, and an individual within a job in an organization.