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Table 1 Model parameter symbols and definitions

From: Most outdoor malaria transmission by behaviourally-resistant Anopheles arabiensis is mediated by mosquitoes that have previously been inside houses

Symbol

Definition

Parameters

E N

Mean number of encounters required for a mosquito to feed each at the end of each host-seeking interval, in a scenario with high usage of bed nets (Ω = N)

F x,N

Proportion of mosquitoes that have been inside house but failed to feed because the occupants were protected by LLINs on at least one occasion by the time they had completed their x th blood meal, in a scenario with high usage of bed nets (Ω = N)

I c

Number of individual cattle (c) present

I h

Number of individual humans (h) present

λ c

Relative availability of blood from an individual head of cattle to vector mosquitoes, compared to an individual human

Ω

Vector control intervention scenario with either high usage of bed nets (Ω = N) or no bed net use (Ω = 0)

ρ

Proportional protective efficacy of using a bed net against biting vectors at times when the bed net is actually used

π h,i,0

Proportion of vector biting exposure that occurs indoors (i) for human (h) individuals or populations not using bed nets (0)

π h,i,n

Proportion of vector biting exposure that occurs indoors (i) for human (h) individuals using bed nets (n)

π h,i,N

Average proportion of vector biting exposure that occurs indoors (i) across an entire human (h) population with high usage of bed nets (Ω = N)

π h,o,N

Average proportion of vector biting exposure that occurs outdoors (o) across an entire human (h) population with high usage of bed nets (Ω = N)

Q h,N

Proportion of vector blood meals obtained from humans in a scenario with high usage of bed nets (Ω = N)

Q h,i,N

Proportion of vector blood meals obtained from humans while indoors in a scenario with high usage of bed nets (Ω = N)

Q h,o,N

Proportion of vector blood meals obtained from humans while outdoors in a scenario with high usage of bed nets (Ω = N)

Q c,N

Proportion of vector blood meals obtained from cattle in a scenario with high human usage of bed nets (Ω = N)

Z h,i,N

Availability of all indoor human blood sources to vectors, expressed as the mean rate at which mosquitoes find, attack and successfully feed upon all humans (h) at times when they are indoors (i), in a scenario with high usage of bed nets (Ω = N)

Z h,N

Availability of all human blood sources to vectors, expressed as the mean rate at which mosquitoes find, attack and successfully feed upon all humans (h) at any time, in a scenario with high usage of bed nets (Ω = N)

Z c,N

Availability of all cattle blood sources to vectors, expressed as the mean rate at which mosquitoes find, attack and successfully feed upon all cattle (c) at any time, in a scenario with high usage of bed nets (Ω = N)

Subscripts

 

c

Cattle

h

Humans

0

No net use by a human individual or population

n

Bed net use by an individual human

N

Scenario (Ω) with high rates of bed net use (U h   =  0.8) by an entire human population

x

Number of feeding cycles completed by a mosquito or age cohort in a mosquito population