Table 2.

Calculations used for determining the proportion of humans that are protected by either ITN or IRS or both under the three different distribution strategies. The insecticides with repellent effect and without repellent effect (underlined) are modelled.

strategy (conditions)proportion of humans that are protected
(1) randomly distributing ITNs and IRSγz + γ(1 − z)cα + (1 − γ)cα, cα
(2) preferentially distributing ITNs and IRS in combination
  (γ > c)γz + (1 − z)cα, cα
  (γc)γz + (1 − z)cα + (cγ)α, cα
(3) preferentially distributing ITNs and IRS apart
  (γ + c > 1)z(1 − c) + (γ − (1 − c))(z + (1 − z)α) + (1 − γ)α, cα
  (γ + c ≤ 1)γz + cα, cα