A central question in drug policy is how control efforts should be divided among enforcement, treatment, and prevention. For this regard, Caulkins and Tragler [DOI 10.1007/978-3-319-39120-5_2] developed a model to study how the mix of control efforts should vary dynamically over the course of an epidemic. In this thesis, the initiation function of the model of Caulkins and Tragler is changed to a logistic growth function and analysed for comparison. Due to some necessary adjustments of the parameters, a precise comparison turns out to be hardly possible. The results of the different sensitivity analyses regarding some parameters and their comparison between both models are presented.