There is a large body of theoretical studies that investigate factors that
affect the evolution of virulence, that is parasite-induced host mortality.
In these studies the host population is assumed to be genetically homogene
ous. However, many parasites have a broad range of host types they infect,
and trade-offs between the parasite virulence in different host types may e
xist. The aim of this paper is to study the effect of host heterogeneity on
the evolution of parasite virulence. By analyzing a simple model that desc
ribes the replication of different parasite strains in a population of two
different host types, we determine the optimal level of virulence in both h
ost types and find the conditions under which strains that specialize in on
e host type dominate the parasite population. Furthermore, we show that int
rahost evolution of the parasite during an infection may lead to stable pol
ymorphisms and could introduce evolutionary branching in the parasite popul
ation.