Drug Addiction - Pushers Generated from the Addicts

This work develops a model for the spread of drug addiction in a closed population of size N. The spread of addiction is considered as an epidemic process where the addicts mix homogeneously within the population. There is an additional group (or pushers) with whom the susceptibles interact, but who are generated from the addicts. State probabilities and moments are obtained for this stochastic process. An extension to a generalized model is also made.