A mathematical description of the infection of insect cells with baculovirus in a continuously operated reactor configuration is presented. The reactor configuration consists of one bioreactor in which insect cells (Spodoptera frugiperda) are grown followed by one or two bioreactors in which cells are infected by a baculovirus (Autographa californica nuclear polyhedrosis virus). It was demonstrated that the so-called passage effect is responsible for the observed difference in run time between a configuration with one or with two infection vessels. Furthermore, a model is presented based on the hypothesis that the limited run time of series of continuously operated bioreactors is associated with the occurrence of a virus particle (so-called virion) that is defective and has interfering properties. With the assumption that not all nonoccluded virions are capable of establishing a correct infection leading to new virus production, infection levels in continuously operated reactor configurations could be described well with the model.