This document discusses compartmental models for modeling the transmission dynamics of H1N1 influenza, including SIS, SIR, SIRS, and SEIR models. The SEIR model accounts for an exposed latent period between infection and infectiousness. The model is described by a system of differential equations tracking the flow of individuals between susceptible, exposed, infected, and recovered classes over time. Controlling an H1N1 epidemic involves strategies like vaccination to reduce susceptibles, hand washing and isolation to reduce transmission rate beta, and use of antivirals to increase recovery rate gamma. Mass vaccination can eradicate a disease by conferring herd immunity even without vaccinating everyone.