What is a Type III ecological functional response?

Is like a Type II functional response, but with a lag at the beginning.

This is realistic, because of

(a) Density-dependent stimuli - predators sense prey by stimuli, and these stimuli often increase in strength with increasing numbers of prey individuals

(b) Search image - smart predators often develop a search image for abundant prey items, but take some time to switch to a new prey item as a result