During replication, RNA viruses accumulate genome alterations, such as mutations and deletions. The interactions between individual variants can determine the fitness of the virus population and, thus, the outcome of infection. To investigate the effects of defective interfering genomes (DI) on wild-type (WT) poliovirus replication, we developed an ordinary differential equation model, which enable exploring the parameter space of the WT and DI competition. We also experimentally examined virus and DI replication kinetics during co-infection, and use these data to infer model parameters. Our model identifies, and our experimental measurements confirm, that the efficiency of DI genome replication and encapsidation are two most critical parameters determining the outcome of WT replication. However, an equilibrium can be established which enables WT to replicate, albeit to reduced levels.