Superinfection models play an important role in the understanding of Malaria [see K. Dietz, Lecture Notes Biomath. 39, 264-277 (1980; Zbl 0441.92020)]. I. Nåsell [Hybrid models of tropical infections. Lecture Notes Biomath. 59 (1985)] studied a superinfection model with limited superinfection. To make this hybrid model tractable, random variables are replaced by expectations. A model closer to a fully stochastic model is presented in this paper, where one of the human population and the mosquito population is subordinated to the other and a unique connection is required. Further it is assumed that there are several saturation level groups instead of one. A threshold theorem is treated for this general semihybrid model in great detail.