Disease and behavior have long been recognized as coupled contagions, and models treating them as such have existed since the mid 2000s. In these models behavior is typically treated as a simple contagion. However, the means of behavior spread may in fact be more complex. We will develop a family of disease-behavior coupled contagion compartmental models in order to examine the effect of behavior contagion type on disease-behavior dynamics. Both a simple and complex behavior contagion model will be investigated, revealing that behavior contagion type can have a significant impact on dynamics. We will also propose a study design for determining how an important health behavior spreads, flu vaccination.