G. Dwyer et al., HOST HETEROGENEITY IN SUSCEPTIBILITY AND DISEASE DYNAMICS - TESTS OF A MATHEMATICAL-MODEL, The American naturalist, 150(6), 1997, pp. 685-707
Most mathematical models of disease assume that transmission is linear
ly dependent on the densities of host and pathogen. Recent data for an
imal diseases, however, have cast doubt on this assumption, without as
sessing the usefulness of alternative models. In this article, we use
a combination of laboratory dose-response experiments, field transmiss
ion experiments, and observations of naturally occurring populations t
o show that virus transmission in gypsy moths is a nonlinear function
of virus density, apparently because of heterogeneity among individual
gypsy moth larvae in their susceptibility to the virus. Dose-response
experiments showed that larvae from a laboratory colony of gypsy moth
s are substantially less heterogeneous in their susceptibility to the
virus than are larvae from feral populations, and field experiments sh
owed that there is a more strongly nonlinear relationship between tran
smission and virus density for feral larvae than for lab larvae. This
nonlinearity in transmission changes the dynamics of the virus in natu
ral populations so that a model incorporating host heterogeneity in su
sceptibility to the virus gives a much better fit to data on virus dyn
amics from large-scale field plots than does a classical model that ig
nores host heterogeneity. Our results suggest that heterogeneity among
individuals has important effects on the dynamics of disease in insec
ts at several spatial and temporal scales and that heterogeneity in su
sceptibility may be of general importance in the ecology of disease.