Continuous input models of the ideal free distribution usually assume
that resources are consumed immediately that they enter a patch. This
paper presents models of constant continuous input in which this assum
ption is relaxed, so that predictions can be made about the standing c
rops of resources and the density relationship of prey mortality cause
d by the consumers. These models suggest that: (1) the input matching
rule is not dependent on the assumption that resources are consumed im
mediately that they enter a patch, and holds whether or not there is i
nterference competition but not when there is an alternative source of
mortality; (2) exploitation competition is fundamental to the continu
ous input model. Whether or not interference competition occurs can be
determined in experimental situations by measuring the standing crops
of resources in patches with different resource input rates; (3) inte
rference models are not an alternative to continuous input models but
represent a 'snapshot' of time from either continuous input or depleti
on models; (4) in continuous input models prey mortality is density in
dependent in the absence of interference because all patches have the
same standing crop of resources. When there is interference between co
nsumers prey mortality is density dependent, unless the interference i
s extremely strong.