The slow development of acquired immunity is thought to be responsible for the characteristic convex age-intensity curve seen in human schistosome infection, which peaks earlier in more heavily infected populations (this is described as a peak shift). Schistosomes are able to suppress protective host responses, and it is hypothesized that this suppression is responsible for the delayed development of protective responses. A deterministic mathematical model is used to describe levels of infection and immunity in an endemic population, incorporating protective immune responses which either reduce adult worm burden or reduce superinfection. Suppression, related to current worm burden, is also included and acts against one or both protective responses. If suppression acts against the entire protective response, it is able to delay the development of protective immunity, and the peak shift is predicted to be reversed at higher infection intensities, with removal of the peaks altogether at the highest levels of infection and/or suppression. If only the anti-adult worm protective immune response is vulnerable to suppression, while the anti-reinfection response remains intact, then suppression does not remove the peak in the age-intensity curve. These findings are discussed in the light of existing field and experimental data.