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Table 1 The qualitatively different behavioural responses (parameterization and associated vector behaviours) described by the new formula

From: Combining indoor and outdoor methods for controlling malaria vectors: an ecological model of endectocide-treated livestock and insecticidal bed nets

Response Type

Ecological equivalent

Parametric conditions

Vector behaviour

Type I

Holling’s Type I

α = 1

β = 1

Indiscriminate, or vector biting that is consistent (proportionate) across relative availabilities of alternative hosts

Type II

Holling’s Type II

α < 1

β ≥ 1

An anthropophilic vector which takes most of its blood meals on humans even when humans are less available than other hosts, and when humans and non-humans are equally available, almost all blood meals are taken from humans

Type III

Holling’s Type III

α ≥ 1

β > 1

This is the pattern expected with a learned behaviour, such that female mosquitoes learn to prefer the more common Type of host

Type IV

Inversion of Holling’s Type II

α > 1

β ≤ 1

A zoophilic vector is disinclined to bite humans until they constitute all but the only available blood source

Type V

Inversion of Holling’s Type III

α ≤ 1

β < 1

HBI saturates and becomes relatively invariant when humans and non-humans are at similar availability. This is analogous to ‘negative prey switching’ whereby the ‘predator’ consumes disproportionately less of the more available ‘prey’ [45]. Eventually, when non-humans become vanishingly rare, the HBI is forced to increase sharply to unity