with parameter m > 1 (m = 2 in Figure 2 c). For m = 1 the above functional response coincides with the Holling type II functional response, while for m >1 the predator search rate increases with increasing prey density. This functional response is also called the Hill function. In enzymatic reaction kinetics the Hill function often describes a cooperative binding of several substrate molecules with an allosteric enzyme that has several binding sites.
The Holling functional responses consider a single predator and are thus functions of prey abundance only. If many predators are present, the per predator prey consumption rate can be influenced by predator interference that makes the functional response also dependent on predator density. A prototype of such a functional response is the Beddington-DeAngelis functional response
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