Table 1 Symbols used in equations

A, A _a , A _b , A _h

attraction rate constant of mosquitoes to non host animals, bait or host animals. For malaria this would be the attraction rate constants to animals, bait and humans, respectively.

animal^-1h^-1

A _bt

Biting rate on animals that are not the host of the disease

d¹

B _bt

Biting rate on bait animals

d^-1

c

vectorial capacity

d^-1

EIP

Extrinsic Incubation Period

d

EIR _a

inoculation rate for non host animals

d^-1

EIR _b

inoculation rate for bait animals

d^-1

EIR _h

inoculation rate for the host of the disease

d^-1

F

Number of feeding cycles per EIP

H _bt

Biting rate on the host of the disease

d^-1

k, k _a , k _h

probability of a vector becoming infectious by feeding on a potentially infectious animal or human

M _f

Probability of a mosquito dying following feed on bait

M _s

rate at which mosquitoes die while searching for a blood meal

h^-1

N ₀

Number of adult female mosquitoes emerging each day

P _e

probability of a mosquito surviving the EIP

P _f

probability of a mosquito surviving a feeding cycle

P ov

probability of a mosquito surviving from one feed to the start of the next search phase. Where feeding is linked to the gonotrophic cycle, P _ov includes the probability of surving egg laying.

Q _a , Q _b , Q _h

proportion of satiated mosquitoes which have fed on animals, bait or humans

T _f

length of the feeding cycle

d

T _ov

time from starting to feed to beginning the search for the next blood meal. Where feeding is linked to the gonotrophic cycle, oviposition occurs as part of T _ov

d

T _s

time spent searching for a feed

h

T _smax

maximum contiguous time spent searching

h

v, v _a , v _h

probability of an infectious mosquito infecting animal or human

X

proportion of humans that are infectious

Y _a , Y _b , Y _h

Number of animals, bait animals or humans

ΣAY

ΣAY = A _h Y _h + A _b Y _b + A _a Y _a , the zero order attraction rate of mosquitoes to any host, taking into account the number of each